If angle pqr is isosceles, what is the measure of angle Q?
The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
As per the given isosceles triangle.
The angles opposite to equal sides in the isosceles triangle will be the same.
Thus, m∠P -= m∠Q
5x + 8 = 9x - 40
9x - 5x = 8 + 40
4x = 48
x = 12°
Thus, m∠Q = 9(12) - 40 = 68°.
Hence "The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°".
For more information about triangles,
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f(x)=3x+5 and g(x)=2x+1
value of x
You can treat x and 2x+1 just as though they are real numbers.
So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2
In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.
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What do you need help with? Are you in danger?
During winter vacation the 5 member of the scott family went on vacation to a ski resort. They drove 336 miles in 7 hours. What was their averge speed?
Answer:
48 miles/hour
Step-by-step explanation:
(336 miles)/(7 hours) = 48 miles/hour
Answer:
the average speed is 336 devided by 7 then you get the answer
Yvonne sells Nine West shoes. She earns 4% commission on all her sales. Yesterday she sold
$1500 worth of shoes. How much commission did she earn?
(2 marks)
Answer:
$60
Step-by-step explanation:
4/100= 0.04
$1500 x 0.04 = 60
Need help plotting x and y intercept heres a better explanation of what I need to do
Jason compares the price of oranges at 4 stores,
Kroger is selling oranges at $1.52 for 4 oranges.
Publix is selling 5 oranges for $175, Ingles is
selling oranges at $1.02 for 3 oranges, Walmart
is selling 6 oranges for $2.46. Which store has
the best price?
Answer/Step-by-step explanation:
To Find the best price divided each
Kroger → 1.52/4=0.38
Publix → 175/5=35
Ingles → 1.02/3=0.34
Walmart → 2.46/6=0.41
Base on the data we can tell that Ingles have the best price.
Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The standard deviation is know to be σ = 12. Find a 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies. Round the numbers in your interval to the nearest whole number.
Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 146[/tex]. Population standard deviation of [tex]\sigma = 12[/tex]. Sample size of [tex]n = 65[/tex].The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]
The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
A similar problem is given at https://brainly.com/question/16807970
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time.
B. Complete the missing factors of the following polynomials.
5. 6a2 + 11b – 35b2 = ( 3a ______ )( 2a ________ )
6. 18x2 – 39x + 20 = ( 3x – 4 ) ( ___________ )
CAN SOMEONE HELP ME, PLEASE.
The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to plant groups of 2 flowers in the garden per square foot. Garden 3 feet 18 feet Fountain Which is closest to the number of flowers needed to plant in the garden?
A 71 flowers
B. 141 flowers
C 156 flowers
D 255 flowers
E 284 flowers
Answer: The answer is 284.
Step-by-step explanation:
The area of the garden is an annulus whose,
Outer diameter = 18 ft
Inner diameter = 18 ft - 2*3ft = 12 ft
Therefore,
Outer radius = 18/2 = 9 ft
Inner radius = 12/2 = 6 ft
Area of garden = Area of annulus
Area of garden = π*(9 ft)2 - π * (6 ft)2
Area of garden = 142
Given:
2 flowers are planted per square foot.
Therefore for 142 ft2,
Number of flowers required = 2*142 = 284
The answer is 284.
100-3x6+5-4= 63? help me its GEMDAS
Answer:
it's 86
Step-by-step explanation:
100-3x6+5-4
100-15+5-4
85+5-4
90-4
86
2. The width of a rectangle is 8 more inches than the length. The perimeter is 56 inches.
Find the length and the width.
Answer:
length=10inches
width=18inches
Step-by-step explanation:
length=x
width=x+8
perimeter=2l+2b
56=2x+2(x+8)
56=2x+2x+16
56-16=4x
4x=40
x=40/4
x=10
write the equation of the line that passes through the points (2 , -1) and has a slope of - 3
Answer:
y=-3x+5
Step-by-step explanation:
y=mx+b
m=slope or gradient (=-3)
y=-3x+b
Add your points
(2, -1)
-1=(-3 x 2)+b
-1= -6+b
-1+6=b
b=5
y=-3x+5
Answer:
[tex]\boxed {\boxed {\sf y= -3x+5}}[/tex]
Step-by-step explanation:
We are asked to find the equation of the line that passes through the point (2, -1) and has a slope of -3.
We are given a point and the slope, so we can use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
In this formula, m is the slope and (x₁, y₁) is the point the line passes through.
The line has a slope of -3 and passes through (2, -1).
m= -3 x₁= 2 y₁= -1Substitute the values into the formula.
[tex]y--1= -3 (x-2)[/tex]
[tex]y+1= -3 (x-2)[/tex]
Distribute the -3 on the right side. Multiply each term inside the parentheses by -3.
[tex]y+1 = (-3*x) + (-3*-2)[/tex]
[tex]y+1=(-3x) + (6)[/tex]
[tex]y+1=-3x+6[/tex]
Subtract 1 from both sides of the equation to isolate the variable y.
[tex]y+1-1=-3x+6-1[/tex]
[tex]y=-3x +5[/tex]
The equation of the line is y= -3x+5.
The sales tax rate is 10% if ruby buys a toaster priced at 34.72 what will be the total cost including tax
Answer:
38.192
Step-by-step explanation:
34.72x(1+0.1)=38.192
Find the value of the question mark
What is x in : f(x)=7?
I think the answer would be "X=1"
(Sorry if I'm wrong)
can you help me find the slope of the line?
Answer:
0
Step-by-step explanation:
slope formula of a line is as follows:
m = Y2 - Y1/ X2 -X1
and so we'll now plot the given points.
note - the 1st values inside the brackets are that of the x values and the ones that come next are the y values of the given line.
now granted, we'll calculate the change of y and then divide it by the change of x
which is simply -5-(-5)/5-(-2) = 0.
I HAVE 4 MINS TILL THIS IS DUE PLEASE FOR THE LOVE OF GOD HELP ME
Answer:
Answer is graph A
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Which of the following has 104.0032 in written form?
A. one hundred four thirty-two ten-thousandths
B. one hundred four and thirty-two ten-thousandths
C. one hundred four and thirty-two thousandths
D. one hundred four and thirty hundredths two ten-thousandths
One hundred and four point zero zero three two.
- BRAINLIEST answerer
Answer:
C.one hundred four and thirty two thousandth
Find the equation of the line
Answer:
6,0 10,4
Step-by-step explanation:
find the y Axis and then the x Axis
brian says that 8n+2=82 when n=1 explain why he is incorrect
ΔABC is an equilateral triangle with AD perpendicular to BC. Prove that ΔADB ≅ ΔADC.
Step-by-step explanation:
An equilateral triangle means all sides are congruent.
AB≅BC≅AC
All angles are also congruent.
∠ABC≅∠BCA≅∠CAB
AD being perpendicular makes it a bisector of both BC and ∠CAB.
BD≅CD
∠BAD≅∠CAD
Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.
1) ASA (one of the possible ASA combinations)
∠ABD ≅ ∠ACD because this is an equilateral triangleBD ≅ CD because AD bisects BC∠BDA ≅ ∠CDA because AD is perpendicular to BC, both 90°2) HL (again, one of the multiple possible HL combinations)
AD is perpendicular to BC, creating 2 right trianglesAB ≅ AC because ΔABC is equilateralAD ≅ DA by the reflexive property, it is congruent to itselfThere are many more but I won't write them all out.
There were 3 full pizzas sitting on a counter. If Joe ate ¼ of a pie, Rhonda ate ⅜ of a pie, and Chris ate 4 slices, how many slices of pizza were left? (Assume each pie is cut into 8 slices.)
Answer:
15 slices
Step-by-step explanation:
Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.
2+3+4= 9.
there are 3 pizzas divided into 8 slices per pizza.
3 x 8 = 24 ; 24 slices total
subtract 9 (that’s what was consumed) from 24.
24-9 = 15
I hope it helps.
hat is an equation of the line that passes through the point (4,-6) and has a slope of -3?
1. y=-3x + 14
2. y=-3x + 6
3. y=-3x - 6
4. y = -3x + 10
Answer:
2
Step-by-step explanation:
y=-3x+6
The school is 3.65 miles from Tonya house and 1.28 miles from Jamals house. How can you use a quick picture to solve this problem.
Answer:
more info so i can help
Step-by-step explanation:
please
3.find the measure of each missing angle
Answer:
Angle 1= 69
Angle 2= 37
Angle 3= 106
Angle 4= 21
Step-by-step explanation:
(Angle 2) The box in the corner is a 90-degree angle. So, 90-53=37
(Angle 1) Now that you have angle 2, add 37+74. You get 111. Subtract 180 and 111.
The answer for angle one is 69.
(Angle 3) Since it is a line, the two angles combined are 180 degrees. 180-74= 106.
(Angle 4) Now that you have angle 3, add 106 and 53. You will get 159. 180-159= 21
Need help answering this question for 30 points. ! :)
Answer:
g(- 1) = -2
Step-by-step explanation:
Given the rational function, [tex]g(x) = - \frac{21 + x}{10}[/tex]:
In order to evaluate and find the value of g(-1), simply substitute the input value into the given function.
[tex]g(x) = - \frac{21 + x}{10}[/tex]
[tex]g(-1) = - \frac{21 - 1}{10}[/tex]
[tex]g(-1) = - \frac{20}{10}[/tex]
g(-1) = -2
Therefore, the output value when g(- 1) is: g(- 1) = -2.
Solve the following quadratic function by utilizing the square root method. y = x2 - 64
Answer:
[tex]x=\pm\sqrt{y+64}[/tex]
Step-by-step explanation:
All you need to do is isolate the x.
First, add 64 to both sides:
[tex]y=x^2-64\\x^2-64+64=y+64\\x^2=y+64[/tex]
Then, take the square root of both sides:
[tex]\sqrt{x^2}=\sqrt{y+64}\\x=\sqrt{y+64[/tex]
Actually, that is:
[tex]x=\pm\sqrt{y+64}[/tex]
Here's the reason for that. An example would be:
[tex]x^2=4[/tex]
Here, you'd take the square root of both sides to solve for x.
[tex]\sqrt{x^2}=\sqrt{4}\\x=2[/tex]
Right? But X could also be a -2, because a negative times a negative is a positive.
[tex](-2)^2=4\\-2\times-2=4\\4=4[/tex]
Therefore, [tex]x=2, -2[/tex] or [tex]x=\pm2[/tex]
[tex]x^2=2\times2=4\\x^2=-2\times-2=4[/tex]
37.4786 rounded to nearest hundredth
Answer:37.48
Step-by-step explanation: