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Answer:
AC = 12
Step-by-step explanation:
From the question, we have that BD is perpendicular to AC
This means that it is at 90 degrees to the base
so we have two similar right triangles
Let us use Pythagoras’ theorem to get the measure of one of the legs (AD and DC)
Let us call the leg x
We have the Pythagoras’ theorem stating that the square of the hypotenuse (the side facing the right angle; 10 here) is equal to the sum of the squares of the two other sides
10^2 = x^2 + 8^2
100 = x^2 + 64
x^2 = 100-64
x^2 = 36
x = √36
x = 6
AD = DC = 6
AC = 2 * AD
AC = 2 * 6
AC = 12
Step-by-step explanation:
Given that,
∠PSQ = 13x+7
∠QSR = 42x+8
We need to find the measure of angles.
We can use the property of linear pair. ATQ,
13x+7 + 42x+8 = 180 (Linear pair)
Taking like terms,
13x+42x = 180 - 7-8
55x = 165
x = 3
So,
∠PSQ = 13x+7 = 13(3) + 7 = 46°
∠QSR = 42x+8 = 42(3) + 8 = 134°
Hence, this is the required solution.
Answer:
she hiked 3.75 miles
Step-by-step explanation:
