Answer:
No congruency statement can be made because the side length are unknown.
Step-by-step explanation:
The sum of the measures of all interior angles in a triangle is always 180°.
In triangle XYZ,
![m\angle X=90^{\circ}\\ \\m\angle Y=30^{\circ},](https://tex.z-dn.net/?f=m%5Cangle%20X%3D90%5E%7B%5Ccirc%7D%5C%5C%20%5C%5Cm%5Cangle%20Y%3D30%5E%7B%5Ccirc%7D%2C)
then
![m\angle X+m\angle Y+m\angle Z=180^{\circ}\Rightarrow m\angle Z=180^{\circ}-90^{\circ}-30^{\circ}=60^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20X%2Bm%5Cangle%20Y%2Bm%5Cangle%20Z%3D180%5E%7B%5Ccirc%7D%5CRightarrow%20m%5Cangle%20Z%3D180%5E%7B%5Ccirc%7D-90%5E%7B%5Ccirc%7D-30%5E%7B%5Ccirc%7D%3D60%5E%7B%5Ccirc%7D)
In triangle TUV,
![m\angle U=30^{\circ}\\\\m\angle V=60^{\circ},](https://tex.z-dn.net/?f=m%5Cangle%20U%3D30%5E%7B%5Ccirc%7D%5C%5C%5C%5Cm%5Cangle%20V%3D60%5E%7B%5Ccirc%7D%2C)
then
![m\angle T+m\angle U+m\angle V=180^{\circ}\Rightarrow m\angle T=180^{\circ}-30^{\circ}-60^{\circ}=90^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20T%2Bm%5Cangle%20U%2Bm%5Cangle%20V%3D180%5E%7B%5Ccirc%7D%5CRightarrow%20m%5Cangle%20T%3D180%5E%7B%5Ccirc%7D-30%5E%7B%5Ccirc%7D-60%5E%7B%5Ccirc%7D%3D90%5E%7B%5Ccirc%7D)
We have two triangles with congruent angles but we have no information about side lengths. Therefore, can not be made because the side length are unknown. Correct option is last option.
The orgin or it mean that there was no money or candy so it would be (0,0).
Answer:
x = sqrt(32)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+ b^2 = c^2
7^2 + x^2 = 9^2
49+x^2 = 81
Subtract 49 from each side
x^2 = 81-49
x^2 =32
Take the square root of each side
sqrt(x^2) = sqrt(32)
x = sqrt(32)
Answer:
13 caramel I think you just put it in the question
Step-by-step explanation: