<u>Answer:</u>
If PQ=RS then PQ and RS have the same length. Hence option D is correct
<u>Solution:</u>
Given that, pq = rs
And, we have to find which of the given options are true.
<u><em>a) pq and rs form a straight angle
</em></u>
We can’t decide the angle in between pq and rs just by the statement pq = rs.
So this statement is false.
<u><em>b) pq and rs form a zero angle.
</em></u>
We can’t decide the angle in between pq and rs just by the statement pq = rs.
So this statement is false.
<u><em>c) pq and rs are same segment.
</em></u>
If two things equal then there is no condition that both represents a single item.
So this statement is false.
<u><em>d) pq and rs have the same length
</em></u>
As given that pq = rs, we can say that they will have the same length
Hence, option d is true.
Answer:
179 + 49+ 139 = 367
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
One is (x - 3)^3.
The graph of the parent function x^3 rises from the lower left quadrant and there is a point of inflection through (0, 0), then it rises to the right in the first quadrant.
The graph of (x - 3)^3 is the translation of the graph of x^3, 3 units to the right. It will pass through the x-axis at (3, 0).
Answer:
Option A and E.
Step-by-step explanation:
It is mentioned that Chiyo has a toolbox having a rectangular prism shape with a length of 8 inches, width of 15 inches, and height of 6 inches.
In addition to this, A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.
So here the shape can be broken into a triangular prism and rectangular prism
Therefore the first option is correct
Now as we know that
Volume of the rectangular prism is
= l×b× h
= 8 × 15 × 6
= 720
And, the volume of the triangular prism is bh
And, the area of the triangular prism is 1 ÷ 2 × b × h
= 1 ÷ 2 × 8 × 3
= 12
Now the volume is
= 12 × 15
= 180
So, the volume of the tool box is
= 720 + 180
= 900
Hence, the last option is correct
Answer:
The longest sides is 18 m long.
Step-by-step explanation:
Let x meters be the length of the first side.
The length of the second side = x+9 m.
The length of the third = 3x m.
Perimeter = x + 3x + x + 9 = 39
5x + 9 = 39
5x = 30
x = 6 m.
The other 2 sides are 6+9 = 15 m and 3*6 = 18 m.
