Answers
Answer:
∠ I = 39°, ∠ J = 51°, ∠ K = 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the3 angles and equate to 180
3x + 21 + 5x + 21 + 90 = 180, that is
8x + 132 = 180 ( subtract 132 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Then
∠ I = 3x + 21 = 3(6) + 21 = 18 + 21 = 39°
∠ J = 5x + 21 = 5(6) + 21 = 30 + 21 = 51°
∠ K = 90°
Related Questions
Find M<1, M<2, M<3, M<4, M<5
Answers
Answer:
Step-by-step explanation:
m∠2 = 52° [Alternate interior angles]
m∠1 + m∠2 = 180° [Linear pair of angles are supplementary]
m∠1 = 180° - 52°
m∠1 = 128°
m∠3 = 47° [Alternate interior angles]
m∠5 + 52° + 47° = 180° [Sum of linear angles is 180°]
m∠5 = 180° - 99°
= 81°
m∠4 + 47° = 180° [Sum of consecutive interior angles is 180°]
m∠4 = 180° - 47°
m∠4 = 137°
Solve the simultaneous equation:
2x+3y=13
X+2y=9
Answers
Answer:
2x + 3y = 13
4x - y = -2
In the second equation, subtract 4x from both sides.
-y = -2 - 4x
Divide both sides by -1.
y = 2 + 4x
Put this into the first equation in place of y.
2x + 3(2 + 4x) = 13
Multiply everything in the parenthesis by 3.
2x + 6 + 12x = 13
Combine like terms.
14x + 6 = 13
Subtract 6 from both sides.
14x = 7
Divide 14 on both sides.
x = 7 / 14
x = 0.5
Put this into the second equation in place of x.
4(0.5) - y = -2
2 - y = -2
Subtract 2 from both sides.
-y = -4
Divide both sides by -1.
y = 4
So x = 0.5 and y = 4.
Step-by-step explanation:
What is the volume of a hemisphere with a radius of 60.7 m, rounded to the nearest tenth of a cubic meter?
Answers
Answer:
468408.4m
Step-by-step explanation:
The guy above knows
The volume of a hemisphere with a radius of 60.7 m is 468170.95 cubic meter.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a radius of a hemisphere is 60.7 m.
Half of a sphere, or a hemisphere, is a three-dimensional (3D) shape. The form we obtain when a sphere is split by a plane going through its centre is known as a hemisphere. A hemisphere has one flat circular base and a curving surface. The quantity of unit cubes that can fit inside a hemisphere is known as its volume.
We know that, the volume of a hemisphere is (2/3)πr³.
Here, volume is 2/3 ×3.14×60.7³
= 2/3 ×3.14×223648.543
= 468170.95 cubic meter
Therefore, the volume is 468170.95 cubic meter.
To learn more about the volume visit:
https://brainly.com/question/13338592.
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hii please help i’ll give brainliest
Answers
Answer:
A :) Sorry if it's wrong, I'm learning this too
What is the radius of 18 circle?
Answers
Is w = 1 a solution to the inequality below?
w>27?
yes or no?
Answers
Answer:
no
Step-by-step explanation:
w would have to be bigger or greater than 27. 1 is less than
Answer: yes, 1> 27 is an inequality. This states 1 is greater than 27, which is incorrect the correct solution would be w<27.
hope this helps :)
What is the shaded area ? Help Asas please !..
Answers
Answer:312
Step-by-step explanation:
There are 150 children at an art camp. 71 signed up for painting. 62 children signed up for sculpting and 28 of them also signed up for painting. Create a two-way table using the given data.
Answers
Answer:
99/150= 62/150
Step-by-step explanation:
-1 = d/4
solve the equation.
Answers
Answer:
d = -4
Step-by-step explanation:
Multiple both sides by 4 to get rid of the fraction
Answer:
d = - 4
Step-by-step explanation:
Given
- 1 = [tex]\frac{d}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
- 4 = d
a coin is tossed and a dice is rolled. What is the probability of getting tails with rolling a 2?
Answers
Answer:
50% for the coin and 1/6 chance for the dice
Can someone give me the correct answer to this question.
I will mark you brainliest for the correct answer.
The answer choices are at the bottom of the pick.
This is a big test.
Please help!!!
Answers
Answer:
Step-by-step explanation:
Supplementary
180-112= 68
alternate exterior
112
Answer:
∡4 and ∡3 are supplementary
∡3 = 68°
∡5 is an alternate-exterior to ∡4
∡5 = 112°
Step-by-step explanation:
(BRAINLIEST!!) Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
question 3/4
Answers
Answer:
i am having trouble with that too
Step-by-step explanation:
Answer:
Since we are told that the two given polygons are said to similar, their corresponding side lengths are proportional to each other.
so to solve
(x - 3)/2.5 = 16/4
(x - 3)/2.5 = 4
Multiply both sides by 2.5
x - 3 = 4 × 2.5
x - 3 = 10
Add 3 to both sides
x = 10 + 3
x = 13
So the value of x is 13.
hope this helps
Al principio Eduardo y Adrián tenían el mismo número de dulces. Eduardo le dio a Adrián la mitad de los dulces que tenía. Después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces. ¿Cuántos dulces tenía Eduardo al final? *
Answers
Answer:
Al final, Eduardo tenía 20 dulces.
Step-by-step explanation:
Dado que al principio Eduardo y Adrián tenían el mismo número de dulces, y Eduardo le dio a Adrián la mitad de los dulces que tenía, y después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces, para determinar cuántos dulces tenía Eduardo al final se debe realizar el siguiente cálculo:
Eduardo 1X = Adrián 1X
Eduardo 0.5X = Adrián 1.5X
Eduardo 1.25X = Adrián 0.75X
0.75 X = 12
X = 12 / 0.75
X = 16
1.25 X = 16 x 1.25 = 20
Así, al final, Eduardo tenía 20 dulces.
What is the positive solution to this equation?
4x2 + 12 x= 135
Answers
Question 4: Expand -4(3g + 6)
Answers
Answer:
-12g - 24
Step-by-step explanation:
-4(3g + 6)
-12g - 24
The triangles on the grid below represent a translation.
On a coordinate plane, triangle A B C is shifted 5 units up to form triangle A prime B prime C prime.
Which translation is shown on the grid?
a horizontal translation only
a vertical translation only
a horizontal translation followed by a vertical translation
a vertical translation followed by a horizontal translation
Answers
Answer:
B. Vertical Translation only
Step-by-step explanation:
:>
The triangle ABC is vertically translated only. Then the correct option is B.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
Rotation does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
On a coordinate plane, triangle ABC is shifted 5 units up to form triangle A'B'C'.
The diagram is given below.
From the diagram, we can clearly observe that the triangle ABC is vertically translated only.
Then the correct option is B.
More about the transformation of geometry link is given below.
https://brainly.com/question/22532832
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60 tickets to a concert was sold. Adult tickets cost $5 while children’s tickets cost $3.50. A total of $250 was collected. How many adult and children tickets were sold?
Answers
Answer:
Number of adults tickets sold = x
= 26.67 tickets
Number of children tickets sold = y = 33.33 tickets
Step-by-step explanation:
Let
Number of adults tickets sold = x
Number of children tickets sold = y
x + y = 60 (1)
5x + 3.50y = 250 (2)
From (1)
x = 60 - y
Substitute x = 60 - y into (2)
5x + 3.50y = 250
5(60 - y) + 3.50y = 250
300 - 5y + 3.50y = 250
- 5y + 3.50y = 250 - 300
- 1.50y = 50
y = -50/-1.50
y = 33.33
Substitute y = 33.33 into 1
x + y = 60
x + 33.33 = 60
x = 60 - 33.33
x = 26.67 tickets
Number of adults tickets sold = x
= 26.67 tickets
Number of children tickets sold = y = 33.33 tickets
Algebra 2
Please help!
Will give brainliest if it’s correct!
Answers
Write the equation of the line in slope-intercept form passing through the points (-4,2) and (1,12)
Answers
Answer:
y = 2x + 10
Step-by-step explanation:
Find the slope:
12 - 2 / 1 - (-4)
10 / 5 = 2
Write in point-slope form:
y - 12 = 2(x - 1)
rearrange:
y - 12 = 2x - 2
y = 2x + 10
Molly ate 1/4 pint of ice-cream. Her sister did not want the last 2/4 pint of her own ice-cream, so Molly ate it. How much ice-cream did Molly eat? Pint
Answers
Answer:
3/4 a pint
Step-by-step explanation:
1/4 + 2/4 = 3/4
Marnita is collecting seashells she starts bher colletion with 16 shells and everyday walks on the beach and finds 4 more how many seashells will she have after 6 days?
Answers
X=6
16+4•X=
16+4•6=
16+24=40
Marnita will have 40 seashells after 6 days
You want to frost a 13 in. by 9 in. cake that you just baked when you notice your little brother ate a piece right out of the middle. What area of cake is left to be frosted if he ate a 2 in. by 2 in. piece? no links pls :) thanks will give brainliest
Answers
Answer:
113 inches
Step-by-step explanation:
13 times 9 is 117 inches (this is the area for the whole cake)
2 times 2 is 4 (this is just the middle)
But since the brother ate the middle you will have to subtract the area of the middle piece from the whole area.
117-4 is 113 so the area now is 113 inches
Take a factor out of the square root:
Answers
Answer:
[tex]-y\sqrt{3}[/tex]
Step-by-step explanation:
Under the radical there is a perfect square, one can take the perfect square out, and write it by its square root. The result of taking the principal square root is always positive, but it is given that the perfect square factor is negative, thus, one must multiply the square root by the negative sign to ensure that the result is positive.
Answer:
[tex]-y\sqrt{3}[/tex]
Step-by-step explanation:
(2.5) to the power of 2 in expanded form is ? answer please ASAP pleaseeee
Answers
Answer:
2.5*2.5
Step-by-step explanation:
the power of 2 means multiply that many times, so you would multiply 2.5 by itself twice, or 2.5*2.5. Simplified this is 6.25
Please help!! Find the radius r.
Answers
Is this correct?????
Answers
Answer:
yes
Step-by-step explanation:
What is the slope of the line ??
Answers
Answer:
slope = 2
Step-by-step explanation:
slope is...
rise/run
this is rising by 2 and going to the right by 1
2/1=2
Write the equation in standard form for the circle x2+y2–49=0.
Answers
Answer:
2x+2y=49
Step-by-step explanation:
tell me if this is wrong
Doreen bought 2 liters of lemonade. How many millimeters of lemonade did Doreen buy?
Answers
Answer:
2000 milliliters, because 1 liter equals 1000 milliliters, so 2 equals 2000! hope this helped!
What is the unit rate for how many insects a praying mantis eats in one day?
Answers
Answer:
It's 7
Step-by-step explanation:
49 insects per week means that they eat 7 insects per day, 49 divided by 7 = 7.