Answers
Let us assume the three angles to be angle 1, angle 2 and angle 3.
Angle 1 = 35°
Angle 2 = 120°
To find:-Angle 3.
Solution:-[tex]{\boxed{\mathcal{\red{The \:measure\:of\:the\:missing\:angle\:is\:25°. \:✅}}}}[/tex]
Step-by-step explanation:-We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°
➪ 35° + 120° + ∠ 3 = 180°
➪ 155° + ∠ 3 = 180°
➪ ∠ 3 = 180° - 155°
➪ ∠ 3 = 25°
[tex]\sf\red{Therefore, \:the\: measure \:of \:∠\: 3\: is \:25°.}[/tex]
To verify:-∠ 1 + ∠ 2 + ∠ 3 = 180°
✒ 35° + 120° + 25° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
Answer:
? = 25°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180° for missing angle, that is
? = 180° - (120 + 35)° = 180° - 155° = 25°
Related Questions
what is the volume of a cone with a radius of 13cm and diameter 24cm?
Answers
4247.43327 Or short 4247.4!
Step-by-step explanation:
Dilate the figure by the scale factor. Then enter
the new coordinates.
K= 7
A(-3,2)
(4.2)B
C(-1,-1)
A' ([?], [])
B' ([], []).
C'([], []).
Answers
Answers:
A ' ( -21, 14 )B ' ( 28, 14 )C ' ( -7, -7 )=========================================
Explanation:
The scale factor is k = 7. This tells us to multiply each coordinate, of each point, by the scale factor to get the dilated points.
For example, point A is at (-3, 2) and moves to A ' (-21, 14) after multiplying the x,y coordinates by 7. The same applies for points B and C as well.
The dilation rule can be written as [tex](x,y) \to (7x, 7y)[/tex]
As a result of the dilation, triangle A'B'C' has sides that are 7 times longer compared to the corresponding sides of triangle ABC.
Example: side AB = 7 units, side A'B' = 49 units
Which statement make correctly uses limits determine a vertical asymptote of G(x)=-7(x-5)^2(x+6)/(x-5)(x+5)
Answers
Answer:
There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]
There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]
Step-by-step explanation:
The exact question is as follows :
Given - G(x) = -7(x-5)^2(x+6)/(x-5)(x+5)
To find - Which statement make correctly uses limits determine a vertical Asymptote of G(x)
Solution -
Vertical Asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function.
Here the given function is the rational function
Denominator of G(x) = (x - 5)(x + 5)
So,
Put denominator = 0, we get
(x - 5)(x + 5) = 0
⇒x = 5, -5
∴ we get
G(x) has vertical Asymptotes at x = 5 and x = -5
Now,
At x= 5
[tex]\lim_{x \to 5^{-} } G(x) = \infty\\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]
And
At x = -5
[tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]
∴ we get
There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]
There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]
Answer:
Step-by-step explanation: A
Camille goes to sleep at 8:30 pm and wakes up at 6:00 am. How long does Camille sleep?
Answers
Answer:
9. 5 Hours
Step-by-step explanation:
8:30 AM to 12:00 PM = 3.5 hours
12:00 PM to 6:00 PM = 6 hours
Total = 6 + 3.5 = 9.5 hours
Hope this answer helps you :)
Have a great day
Mark Brainliest
Maria practiced for her piano recital each day for three days. The first day she practiced for hour, the second day she practiced for hours, and the third day she practiced for hours. By how much did she increase the time she practiced each day? Group of answer choices
Answers
Answer:
3/4
Step-by-step explanation:
Maria practiced for her piano recital each day for three days. the first day she practiced for 3/4 hour, the second day she practiced for 1 1/2 hours, and the third day she practiced for 2 1/4 hours. by how much did she increase the time she practiced each day?
the increase in hours practiced can be determined by calculating the difference between the hours practiced on the second and first day
[tex]1\frac{1}{2} - \frac{3}{4}[/tex]
[tex]1\frac{2 - 3}{4}[/tex] the lowest common multiple that can divide 2 and 4 is 4.
[tex]\frac{6-3}{4}[/tex] if 2 is subtracted from 3, the answer would be negative. So, borrow 1 from the whole number. the value of this borrowed one would be equal to 4 which is the LCM. Add 4 to 2. this gives 6
[tex]\frac{3}{4}[/tex]
Jina has scored 79, 85, 89 and 68 on her previous four tests. What score does she need on her next test so that her mean is 80?
Answers
Answer:
79
Step-by-step explanation:
79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output
calculator.net is approved on my school computer so there is a chance it is on yours as well.
Which is the solution of the system of equations shown in the graph?
Answers
Answer:
(5, -7).
Step-by-step explanation:
Solution is the point of intersection.
(5, -7).
Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemonade did she make in total?
A: 17 4/15
B: 17 5/8
C: 18 4/15
D: 5/8
Answers
Answer:
C: 18 4/15
Step-by-step explanation:
7 2/3 + 10 3/5
Convert fractions so that they share a common denoninator:
7 10/15 + 10 9/15
17 19/15
18 4/15
y>-4x+5 and y>2x-7, how to graph it?
Answers
Answer:
Graph.
y>−4x+5 and y>2x−7
Step-by-step explanation:
Which statement is true? Only some rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rectangles have 2 pairs of parallel sides. All rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rectangles have exactly 1 pair of parallel sides. Only some rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rectangles have exactly 1 pair of parallel sides. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.
Answers
Answer:
STATEMENT NO. 4 IS CORRECT.
Step-by-step explanation:
Because every rectangle has two pair of parallel lines so it can be called a parallelogram.
e) If A = {x:xis a letter in the word 'MATHEMATICS'}, list the members and find
n (A).
Answers
Given :
If, A = { x : x is a letter in the word 'MATHEMATICS' } .
To Find :
The members of A and find n (A).
Solution :
We have given a set, A = { x : x is a letter in the word 'MATHEMATICS' } .
Now, we know in set theory recurring element is written once only i.e all unique elements should be there in the set.
So,
A = { M, A, T, H, E, I, C, S }
Now, number of element in set A is 8.
Therefore, n(A) = 8 .
help please need done today
Answers
Answer:
77 ft.
Step-by-step explanation:
7*8+7*3=77
Help please I don’t understand
Answers
Answer: 2/3
Step-by-step explanation:
there are 24 pets total (count all of the dots on the plot)
16 students have 2 or more pets (count the dots from point 2 until 6)
your fraction is 16/24
16/24 is 2/3 simplified
hope this helps
A movie theater designs two bags to hold 250 cubic inches of popcorn each.
Find the height of each bag.
Pleaseee helpp
Answers
Answer:
5 inches
Step-by-step explanation:
Well two bags hold 250 cubic inches, which means one bag will hold 125 cubic inches.
Then you cube route 125 because its cubic inches.
[tex]\sqrt[3]{125}[/tex] = 5
So I would think its five inches but I may be wrong <3
Can someone pls give me the answer to this?
Answers
Answer:
This is all the above
Step-by-step explanation:
all answers are true to this graph
1) Is it a function?
Please help
Answers
Answer:
Yes it is a function
Hope its help you ☺
I need help can you guys help me
Answers
Answer:
90
Step-by-step explanation:
a right angle is always 90 degrees
Explanation- because a triangle has to =180 degrees so if you have one right triangle (90 degrees) the other two angles have to add together to make 90.
What is the value of X in the triangle shown?
Answers
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45=opposite/hypotenuse
1[tex]\sqrt{2}[/tex]=x/16
x=16/[tex]\sqrt{2}[/tex]
x=8[tex]\sqrt{2}[/tex]
For which function does f decrease by 15% every time x increase by 1? A: f(x)= 0.15^x B: f(x)=8.5^x C: f(x)=15^x. D: f(x)=85^x
Answers
Answer:
[tex]f(x) = (0.85)^x[/tex]
Step-by-step explanation:
Exponential amount of decay:
The equation for an amount that decays exponentially has the following format:
[tex]A(x) = A(0)(1 - r)^x[/tex]
In which r is the decay rate, as a decimal.
Decrease by 15%
This means that [tex]r = 0.15[/tex]. So
[tex]f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x[/tex]
So
[tex]f(x) = (0.85)^x[/tex]
price of a
the
of a microwave
Loven was marked down
from $187.50 to $150.00.
what
was the percent
decrease in price.
Answers
Answer:
20%
Step-by-step explanation:
$187.50 - 20% = $150.00
Renee wrote the pattern shown below. What is the rule for following Renee's pattern? 23, 47, 95, 191 A. multiply by 2 B.multiply by 2, add 1 C.multiply by 2, add 2 D.multiply by 2, subtract 1
Answers
Answer:
B. Multiply by 2, add 1
explanation:
23× 2 = 46 + 1 = 47
47 × 2 = 94 + 1 = 95
95 × 2 = 190 + 1 = 191
Please Help! Answer full step by step.
Triangle ABC has vertices A(- 3, - 4), B(16, - 2) and C(13, - 10) . Show algebraically that ABC is a right angled triangle.
Answers
Triangle ABC has the three sides AB, BC, and AC.
Let's find the slope of each line. We'll use the slope formula
Let's start with the slope of line AB.
A = (-3, -4) = (x1,y1)
B = (16, -2) = (x2,y2)
m = slope
m = (y2-y1)/(x2-x1)
m = (-2-(-4))/(16-(-3))
m = (-2+4)/(16+3)
m = 2/19
The slope of line AB is 2/19. I'll keep it in fraction form.
We'll use this later, so let p = 2/19.
---------------
Repeat those steps to find the slope of BC
B = (16, -2) = (x1,y1)
C = (13, -10) = (x2,y2)
m = (y2-y1)/(x2-x1)
m = (-10-(-2))/(13-16)
m = (-10+2)/(13-16)
m = -8/(-3)
m = 8/3
The slope of line BC is 8/3.
Let q = 8/3 so we can use it later.
---------------
Now find the slope of line AC.
A = (-3, -4) = (x1,y1)
C = (13, -10) = (x2,y2)
m = (y2-y1)/(x2-x1)
m = (-10-(-4))/(13-(-3))
m = (-10+4)/(13+3)
m = -6/16
m = -3/8
The slope of line AC is -3/8
Let r = -3/8.
---------------
To recap everything so far, we have
p = slope of line AB = 2/19q = slope of line BC = 8/3r = slope of line AC = -3/8We can see that,
p*q = (2/19)*(8/3) = 16/57q*r = (8/3)*(-3/8) = -1p*r = (2/19)*(-3/8) = -6/152 = -3/76Of those slope multiplications, q and r multiply to -1 is what we should focus on. If two slopes multiply to -1, then their lines are perpendicular. This applies to any perpendicular lines where neither line is vertical, and neither is horizontal.
The fractions 8/3 and -3/8 are negative reciprocals of one another. We flip the fraction and flip the sign from positive to negative, or vice versa. This is another way to see we have perpendicular slopes.
So in short, we've shown that BC and AC are perpendicular, and therefore triangle ABC is a right triangle.
----------------------------------------------------------------
To solve this problem a completely different way, we could follow this outline:
Step 1) Find the length of each side AB, BC, and AC. Use the distance formula. Step 2) Apply the pythagorean theorem converse. If you can show a^2+b^2 = c^2 is true, then the triangle with sides a,b,c is a right triangle, where c is the longest side (hypotenuse) opposite the right angle.Through step 1, you should find that,
AB = sqrt(365)BC = sqrt(73)AC = sqrt(292)Let a = sqrt(73), b = sqrt(292), c = sqrt(365). You should find that a^2+b^2 = c^2 is a true statement based on those values, and therefore we have a right triangle. The longest side is AB = sqrt(365), making angle C to be the 90 degree angle. The diagram is shown below. I used GeoGebra to make the diagram.
HELP ME THANKS +×+
Applying the Pythagorean theorem, Find the measure of the hypotenuse of a right triangle with legs of 11 inches and 60 inches.
Answers
Answer:
[tex]hypotenuse = \sqrt{ {height}^{2} + {adjacent}^{2} } \\ = \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{3721} \\ = 61 \: inches[/tex]
hypotenuse=
height
2
+adjacent
2
=
11
2
+60
2
=
3721
=61inches
if the product of any two rational numbers is 2 and one of them is 1/7, find the other
Answers
Answer:
14
Step-by-step explanation:
1/7*X=2
X=2/(1/7)
X=2*7
X=14
➪ Product of two rational numbers = 2
➪ One of the number = [tex] \frac{1}{7} [/tex]
To find:-➪ The other number.
[tex]\huge{\boxed{\boxed{\tt{\purple{Solution\:⤵}}}}}[/tex]
[tex]\sf\blue{The \:other \:number \:is\: 14.}[/tex] ✅
Step-by-step explanation:-❥ Let the other number be [tex]x[/tex].
❥ As per the question, we have
[tex]product \: of \: two \: rational \: numbers \: = 2 \\ ⇢ \frac{1}{7} \times x = 2 \\ ⇢ x = 2 \times 7 \\ ⇢ x = 14[/tex]
[tex]\sf\red{Therefore,\:the\:other\: number\: is\: 14.}[/tex]
To verify:-[tex] \frac{1}{7} \times 14 = 2 \\➪ \: \frac{14}{7} = 2 \\ ➪ \: 2 = 2\\ ➪ \: L. H. S. = R. H. S.[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
A movie theater has 85 seats. One rainy day in the summer, all seats were sold and the ticket income was $121. If adult tickets cost $3 and children tickets cost $1, how many children were in the audience?
Answers
Answer:
children = 67
Step-by-step explanation:
two equations can be derived from this question
x + y = 85 equation 1
3x + y = 121 equation 2
where x = number of adults
y = number of children
subtract equation 1 from 2
2x = 36
x = 18
substitute for x in equation 1
y = 85 - 18 = 67
Liz earns a salary of $2,100 per month, plus a commission of 3% of her sales. She wants to earn at least $2,900 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal
Answers
Answer:
x≥26667
Step-by-step explanation:
let x= her sales
so the money she gets from her sales is .03x
if we wants at least 2900 we can write
2100+.03x≥2900
Solve for x
.03x≥800
x≥26666.6667
round up (because you can make a fraction of a sale) to get
x≥26667
Kendall makes candles and sells them online. To make an Essential Elegance candle, she adds
3 drops of lavender and 6 drops of vanilla to a bowl of unscented wax. To make a Garden
Glory candle, she adds 4 drops of lavender and 10 drops of vanilla to the bowl instead. Which
candle has a greater ratio of lavender to vanilla?
Answers
Answer:
Essential Elegance Candle
Step-by-step explanation:
Ratios are Lavender:Vanilla
For the Essential elegance candle the ratio is 3:6 which can be simplified to 1:2 whereas the Glory Candle is 4:10 which can be simplified to 2:5 on either one the vanilla is the bigger number but in terms of ratio it would be the essential elegance since 1/2>2/5
Arrange the matrices in increasing order of their determinant values.
Answers
Answer:
c, a, b
Step-by-step explanation:
Given
See attachment for matrices
(a)
[tex]D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)[/tex]
[tex]|D | = \cos^2\theta + \sin^2\theta[/tex]
Using trigonometry ratio, we have:
[tex]|D | = 1[/tex]
(b)
[tex]\left[\begin{array}{ccc}2&0\\0&2\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D| = 2 * 2 - 0 * 0[/tex]
[tex]|D| = 4 - 0[/tex]
[tex]|D| = 4[/tex]
(c)
[tex]\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D| = 0 * 0 -(-i * i)[/tex]
[tex]|D| = 0 +i^2[/tex]
[tex]|D| = i^2[/tex]
In complex numbers
[tex]i^2 = -1[/tex]
So:
[tex]|D| = -1[/tex]
So, the order of the determinants is: c, a, b
A Skateboard is reduced 25%
in price in a sale. The old price
was $122. Find the new price.
Answers
Answer: 30.5
Step-by-step explanation:
Kane rolls a dice and flips a coin at the same time. What is the probability he rolls a 2 or lower and the coin lands on heads?
Answers
Answer:
The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.
Step-by-step explanation:
Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:
Given = 6 sides = 2/6
Coin = 2 sides = 1/2
2/6 x 1/2 = X
0.333 x 0.5 = X
0.1666 = X
0.1666 x 100 = 16.66
Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.