Answer:
The measure of angle G is ![53\°](https://tex.z-dn.net/?f=53%5C%C2%B0)
Step-by-step explanation:
Let
F ----> the measure of interior angle F of the triangle FGH
G ---> the measure of interior angle G of the triangle FGH
H ---> the measure of interior angle H of the triangle FGH
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
----> equation A
----> equation B
----> equation C
Solve the system of equations by substitution
substitute equation B and equation C in equation A
![F\°+(2F-5)\°+(4F-18)\°=180\°](https://tex.z-dn.net/?f=F%5C%C2%B0%2B%282F-5%29%5C%C2%B0%2B%284F-18%29%5C%C2%B0%3D180%5C%C2%B0)
Solve for F
![7F-23=180](https://tex.z-dn.net/?f=7F-23%3D180)
![7F=180+23](https://tex.z-dn.net/?f=7F%3D180%2B23)
![F=29\°](https://tex.z-dn.net/?f=F%3D29%5C%C2%B0)
Find the measure of angle G
![G=2F-5](https://tex.z-dn.net/?f=G%3D2F-5)
substitute the value of F
![G=2(29)-5=53\°](https://tex.z-dn.net/?f=G%3D2%2829%29-5%3D53%5C%C2%B0)
Answer:
they are not congruent
Step-by-step explanation:
the markings and angle don't match up to the same sides. the answer is most likely f, not enough information.
Answer:
m = F / a is the answer
Step-by-step explanation:
F = ma
m = F / a
Answer: 1: 5(3x+4)
2: 6(x2+4x−3)
3: 5x(4x2−3x+2)
4: 4n2(4n2-3)
Step-by-step explanation:
Answer:
9 cm
Step-by-step explanation:
If you were to imagine this right triangle, you would find it to be a 45 - 45 - 90 triangle. Perhaps the " shorter leg " piece of information was present to trick you, considering that the legs are congruent by converse to base angle theorem.
How is this triangle a 45 - 45 - 90? In such a triangle, the legs can be posed as x cm, as the base angles are congruent ( 45 and 45 ), thus the legs of the triangle are congruent as well. The hypotenuse would be x√2, and as we can see -
If legs = x, Hypotenuse = x√2 = 9√2
Thus, the length of the other leg is 9 centimeters ( 9 cm )
<u><em>Hope that helps!</em></u>