Answer:
S1 is congruent to S2
Step-by-step explanation:
Answer:
Correct choice is A
Step-by-step explanation:
Consider right triangle ABC formed by the telephone pole (side AB) and ground (side BC). In this triangle AC is the length of the wire, BC is the distance from the base of the pole to the spot where the wire touches the ground and AB=15 ft, ∠ACB=42°.
Then
Answer:
0=0
Step-by-step explanation:
6(2x+4)=4(3x+6)
Step 1: Simplify both sides of the equation.
6(2x+4)=4(3x+6)
(6)(2x)+(6)(4)=(4)(3x)+(4)(6)(Distribute)
12x+24=12x+24
Step 2: Subtract 12x from both sides.
12x+24−12x=12x+24−12x
24=24
Step 3: Subtract 24 from both sides.
24−24=24−24
0=0
Answer: B.
Step-by-step explanation: This is because you can't possibly have an exponent, there are no two of the same value being multiplied together.
Answer:
x = 1.25, y = 1.75
Step-by-step explanation:
The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).
We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.
5 * 1.25 = 6.25
7 * 1.25 = 8.75
However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.
Therefore the lengths must be: 6.25 - 5 = 1.25
and 8.75 - 7 = 1.75
Therefore x and y equal 1.25 and 1.75