Hello there, and thank you for posting your question here on brainly.
The HL Theorem is when two triangles don't look the same but have the same side lengths.
I'm pretty sure triangles a and c are congruent.
Hope this helped!! ☺♥
Answer:
By property of power of a power:
=
Step-by-step explanation:
Given that 
The property of power of a power is given by,
=
=
=
Using the property of power of a power:
=
=
=
=
5 multiplied by (2 multiplied by 2) multiplied by 3 multiplied by 2 = 120
Sorry that I'm writing the word multiplied but I don't have the sign on my keyboard. :D
Answer:
6 11/32
Step-by-step explanation:
The two cans of broth used in the recipe total 2·14.5 oz = 29 oz. The number of people John wants to serve is 28/4 = 7 times the number served by one recipe. So, the amount of broth needed is ...
(29 oz)·7 = 203 oz
Each quart container of broth holds 32 oz, so John will need ...
(203 oz)/(32 oz/container) = 6 11/32 containers
John needs 6 11/32 containers of broth.
_____
If John must buy the broth, he must buy 7 containers. he will have 21/32 of a container left over after making his soup.
Answer:
1. Radius = 84.65 in
2. Circumference = 531.65 in
3. Diameter = 169.3 in
Step-by-step explanation:
1] In order to find the area of a circle, we use the formula
Area of a circle = πr²
Where r is the radius. So substitute the value of the area of the circle in the formula, to find the radius r.
22511 = π r²
r² = 22511 ÷ π
r = 
<u>r = 84.65 in</u>
2] Now that we found the radius, we can easily find the circumference using the formula:
Circumference of a circle = 2πr
Substitute the value of r in the formula.
Circumference = 2 × π × 84.65
<u>Circumference = 531.87 in</u>
3] The diameter is twice the radius, so:
diameter = r × 2
diameter = 84.65 × 2
<u>diameter = 169.3 in</u>