Answer:
<h3>1/8</h3>Step-by-step explanation:
Given the expression
Using the following laws of indices;
The expression becomes;
Step 1: Multiplication rule
Using the division rule of exponent (Quotient of powers);
Hence the result of the expression is 1/8
Answer:
Correct option is
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
Step-by-step explanation:
Here, we are given the line RQ, which is divided in two equal parts by a line PS which is perpendicular to RQ.
The foot S of PS is on the line RQ.
First of all, let us do a construction here.
Join the point R with P and P with Q.
Please refer to the attached image.
Now, let us consider the triangles PQS and PRS:
Now, Two sides and the angle included between the two triangles are equal.
So by SAS congruence we can say that
Therefore, the corresponding sides will also be equal.
RP = QP
RP is the distance between R and P.
QP is the distance between Q and P.
Hence, to prove that P is equidistant from R and Q, we have proved that:
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
Answer:
The speed of the Zach travelling is 8 miles per hour.
The speed of the Warren travelling is 15 miles per hour.
Step-by-step explanation:
Given : Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zach and after 7 hours they are 161 miles apart.
To find : How fast is each traveling?
Solution :
Let the speed of Zach is x mile per hour.
If Warren travels 7 mph faster than Zach
The speed of the Warren is x+7 miles per hour.
Zach and Warren both leave the coffee shop at the same time, but in opposite directions.
The distance covered is 161 miles in 7 hours.
We know,
Substitute,
The speed of Warren is 8+7=15
The speed of the Zach travelling is 8 miles per hour.
The speed of the Warren travelling is 15 miles per hour.