Answer:
the two triangles are the same shape but not the same size
Step-by-step explanation:
an equilateral triangle has all equal sides. if one triangle has a side length of 4 inches, it'll be smaller than the triangle with the side length of 5 inches but just because they're different sizes doesn't mean they're a different shape. (i don't know if this is right but I'm pretty sure it is)
<h3>
Answer: 2b+3 = 7</h3>
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Work Shown:
b = unknown number
2b = 2 times a number
2b+3 = the sum of 2 times a number and 3
2b+3 = 7, since the expression above is set equal to 7
<u>Given</u>:
Given that the radius of the circle is 9 units.
The measure of the angle JHG is 160°
We need to determine the area of the shaded sector of the circle.
<u>Area of the circle:</u>
The area of the circle can be determined using the formula,

where r is the radius
Substituting r = 9 and
, we get;

Simplifying, we get;


Thus, the area of the shaded sector of the circle is 36π units²
Hence, Option a is the correct answer.
Answer:
Look below.
Step-by-step explanation:
13.)
The lines are neither because the slopes are reciprocals.
14.)
The lines are perpendicular because the slopes are opposite reciprocals.
Answer:
The father did more.
13/28 needs to be mowed which is 0.4643 of the lawn needs to be mowed.
Step-by-step explanation:
The best way to compare the two is to change them to decimals. That will at least answer who mowed the most.
Father: 2/7 = 0.2857
Son: 1/4 = 0.25
Since the father mowed 2/7 of the lawn, he mowed the most.
You can use the decimals to get the second part.
Together they did 0.25 + 0.2857 = 0.5357
The amount of the lawn left is 1 - 0.5357 = 0.4643
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If you must have this in fractions then
1/4 + 2/7 = 7/28 + 2*4/28 = 7/28 + 8/28 = 15/28
15/28 = 0.5357 which is just what we got above.
Amount left to do = 1- 15/28 = 13/28
13/28 = 0.4643 which is what we got about.