Answer:
m<X= 36.87 degrees
Step-by-step explanation:
Since the triangle abc and xyz are similar, hence;
m<C = m<Y
90 = x - 5
Add 5 to both sides
90+5 = x-5+5
95 = x
Swap
x = 95
m<Y = x - 5
m<Y = 95 - 5
m<Y = 90
Find m<X
Using the SOH CAH TOA
Opposite to m<X = YZ = 6
Adjacent = 8
Tan M<X = opp/adj
Tan m<X = 6/8
m<X = arctan(6/8)
m<X= 36.87 degrees
1st rectangle:
width: 2.48cm
length: 4.96
2nd rectangle:
width: 4.96 (equals to the length of the 1st rectangle)
area: 9.92
length: 9.92/4.96 = 2
By finding like denominators, you can add the fractions on each side. Then, compare by cross multiplying.
That is a distance formula I was gonna type it but I didn’t have the symbols so use the picture attached.
Answer:
Step 1 should have a -2 substituted for both values.