Answer:
1.) A
2.) D
3.) A
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
Since both triangles are similiar, this means they can have different sized sides, but they are just scaled versions of each other. This also means that no matter what sides they have, their angles are going to be the exact same
Knowing this, it helps to draw them out side by side so you can match them up easier. Both of them have a 90 degree angle, and more specifically they are 45-45-90 triangles (45-45-90 is a special right triangle). You can point this out since they give us a 90 degree angle and two angles that are congruent in the same triangle. In order for that to work, they HAVE to be 45-45-90
With this, we can find out what x equals. Since the two angles markings line up with the two side angles in the other triangle, we know that they are equal to each other.
we can use the equation 15x = 45, since 45 is what the side angle should equal.
now, we just divide 45 by 15, and we should get 3
so x = 3!
I hope this helps :)
Answer:
A
Step-by-step explanation:
If the number of people in the theater must be under 240, then there must be less than 10 seats in each row on the floor to meet fire safety regulations.
if X=10 then, 15 times 10 plus 90 = 240.
Since the number of people must be under 240, there must be less than 10 seats in each row on the floor.
<h2>
Answer: c.) ¹⁵/₄</h2>
Step-by-step explanation:
If we transpose the equation into the slope-intercept form (y = mx + c), the value of c is the y-intercept.
since x + 4y = 15
then 4y = - x + 15
∴ y = -¹/₄ x + ¹⁵/₄
<h3>⇒ the y-intercept for the line x + 4y = 15 is ¹⁵/₄</h3>
