531 divided by 4 is 132.75. You can check by doing 132.75 x 4.
From the given the option moved left 1 unit; reflected across the x axis is the correct.
what is function?
A function from a set X to a set Y in mathematics assigns each element of X exactly one element of Y. The set X is known as the function's domain, and the set Y is known as the function's codomain.
We have to describe the position of the function
relative to the basic function
.
Let the parent function is
.
After shifting one unit right it becomes,
.
After reflection in x axis it becomes,
.
Hence, from the given the option moved left 1 unit; reflected across the x axis is the correct.
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The value of the third angle that can be found in the information given about the congruent triangles will be 45°.
<h3>How to solve the triangle?</h3>
From the complete information, the angles that are given in the triangle are 76° and 59°.
It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:
= 180° - (76° + 59°)
= 180° - 135°
= 45°
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Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Jeremiah travels 8 mph faster than Ermias, hence their velocities are:
x, x + 8
They travel in opposite directions, hence in one hour they are 2x + 8 apart.
In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:
8(2x +8) = 240
2x + 8 = 30
2x = 22
x = 11.
Then:
- x = 11 + 8 = 19 -> Jeremiah.
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