Answer:
The value of x is 1.5
Step-by-step explanation:
<em>In similar figures, corresponding sides have the same ratio</em>
In the given figure
∵ There are 2 similar polygons
∴ We must write their names with corresponding angles
∵ ∠A = ∠L, ∠B = ∠M, ∠C = ∠N, ∠D = ∠P
∴ Their names are ABCD and LMNP
→ By using the rule above
∴ Their corresponding sides have the same ratio
∴ =
∵ AB = 14 and LM = x + 9
∵ BC = 10 and MN = x + 6
→ Substitute them in the ratio up
∴ =
→ By using the cross multiplication
∵ 14 × (x + 6) = 10 × (x + 9)
∴ 14(x) + 14(6) = 10(x) + 10(9)
∴ 14x + 84 = 10x + 90
→ Subtract 10x from both sides
∵ 14x - 10x + 84 = 10x - 10x + 90
∴ 4x + 84 = 90
→ Subtract both sides by 84
∵ 4x + 84 - 84 = 90 - 84
∴ 4x = 6
→ Divide both sides by 4 to find x
∴ x = 1.5
∴ The value of x is 1.5
Answer:
#2
#3
Step-by-step explanation:
Can I have brainilest plz
Angle 3 is also 104: and angle 5 and 2 are 76: and angle 6 is 104: 3 and 8 are 104: and 7 and are 76
angle 1 and 6 are verticle angles
angles 7 and 8 are suplimentary
angles 4 and 5 are alternate exterior angles
andgle 2 and 4 are im not sure
The correct answer would be a
Answer:
6.) angle 1 = 61 degrees. angle 2 = 61 degrees. . 7.) angle 1 = 44 degrees
angle 2 = 44 degrees
Step-by-step explanation:
main reason is that because of Alternate Interior angles theorem angle 1 = angle 2
for both questions 6 and 7.
Also the angles that form a straight line sum to 180 degrees
so 61 + 58 + 61 = 180
and for 7
90 = 46 + 44