Answer:
13
Step-by-step explanation:
Draw a picture!
You have a right triangle with legs of 5 and 12.
By the Pythagorean Theorem, the hypotenuse is √(5²+12²) = 13
Answer:
B
Step-by-step explanation:
45+27=72
A- 15 times 9 equals 135
B- 8 times 9= 72
C 45 times 18 equals 810,
D- 14 times 12 equals 68
Answer: 20 feet by 20 feet.
Step-by-step explanation:
1. You know that 
is the original measure of one side. Since it is a square, all its sides are equal.
2. Therefore, to solve the problem you only need to solve for , as you can see below:
- You have that:
- Then, you obtain the following quadratic equation:
- Apply the Quadratic formula to solve it:
- Then, you obtain:
3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.
The congruent statement and the reason why the triangles are congruent is (b) ΔUVZ ≅ ΔVYX, SSS
<h3>How to determine the congruent statement and the reason?</h3>
From the question, we have the following parameters that can be used in our computation:
Triangles = UVZ and VYX
There are several theorems that make any two triangles to be congruent
One of these theorems is the SSS congruent theorem
The SSS congruent theorem implies that the corresponding sides of the triangles in question are congruent
From the question, we can see that the following corresponding sides on the triangles UVZ and VYX have the same mark
UV and VY
UZ and VX
VZ and YX
This implies that these sides are congruent sides
Hence, the congruent statement on the congruency of the triangles is (b) ΔUVZ ≅ ΔVYX and the reason is by SSS
Read more about congruent triangles at
brainly.com/question/1675117
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when x = -14
f(-1) = 4^-1 = 1 / 4^1 = 1/4
Answer
1/4 or 0.25
