This is saying that ABC is conguent with LMN meaning all the sides are the same, making it safe to assume that AB is equal to LM. This also means that the equations for both are equal to each other
-3y + 10 = 2y + 15
-5y = 5
y = -1
Then to find AB you plug the -1 in for the y value
-3(-1) + 10 = 13
Knowing these 2 parts, the answer is A
Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Answer:
the answer is 11,600,000,000,000
Step-by-step explanation:
pemdas
(1.2 x 10 ^13) - (4 x 10 ^11)
10^13 = 10,000,000,000,000 put that in scientific notation to make it simpler do same for 10 ^11
10 x 10^13
(1.2 x 10 x 10^13) - ( 4 x 10 x 10^11)
now solve the first equasion
12,000,000,000,000 - 400,000,000,000
subtract
11,600,000,000,000
Answer:
<u>551 square centimeters</u>
Step-by-step explanation:
Finding the radius (r) :
- C = 2πr
- 83.21 = 2 x 3.14 x r
- 83.21 = 6.28r
- r = 83.21/6.28
- r = 13.25 cm
Finding the area :
- A = πr²
- A = 3.14 x (13.25)²
- A = 3.14 x 175.5625
- A = <u>551 square centimeters</u> (nearest whole number)
<u></u>
The area of this hub cap is about <u>551 square centimeters</u>.
Answer:
40
Step-by-step explanation:
The formula for area is LxW, in this case it’s 5x8 which is 40.
