Answer:
UY = 90
GH = 4
Step-by-step explanation:
Since both figures are similar, the ratio of their corresponding side lengths would be the same.
Thus:
✔️UY/GF = XW/IJ
UY/10 = 54/6 (Substitution)
Multiply both side by 10
UY = (54*10)/6
UY = 90
✔️Also,
UV/GH = XW/IJ
36/GH = 54/6
36/GH = 9
GH = 36/9
GH = 4
Step-by-step explanation:
7/ 12 is equivalent to - 7/-12
Answer:
m∠A = 90°
Step-by-step explanation:
In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!
m∠B = m∠C
11x - 10 = 7x + 10
4x - 10 = 10
4x = 20
x = 5
Now let's insert x back in the expressions for angles.
m∠B = (11x − 10)° = (11(5) − 10)° = 45°
m∠C = (7x + 10)° = (7(5) + 10)° = 45°
<u>Sum of all angles in the triangle is 180°.</u> Let's make an equation.
m∠A + m∠B + m∠C = 180°
m∠A + 45°+ 45° = 180°
m∠A = 90°
the answer for number 6 is 5.7
