Answer:
65
Step-by-step explanation:
66
Answer:
<em>The area of the shaded region is 3.</em>
Step-by-step explanation:
Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

Where At is the area of each triangle.


We know AB=3 and BC=2, thus:

Simplifying:

Finally:


The area of the shaded region is 3.
Note the area of the shaded region is half the area of the rectangle.
Hello there! y < -15
To solve, isolate y. To do this, subtract 30 from both sides of the equation.
y + 30-30 < 15-30
y < -15
This is your final answer. The statement is saying that y must be less than -15 when you add 30 to it for your final answer to be less than 15.
I hope this was helpful and have a great rest of your day! :)
By analyzing and understanding the graph of the absolute value function, we find that the function evaluated at the x-value equal to 1 is equal to the y-value equal to 3.
<h3>What is the y-value associated to a given x-value of an absolute value function? </h3>
In this problem we find the representation of an absolute value function, where the horizontal axis corresponds to the values of the domain, whereas the vertical axis is for the values of the range. In that picture we must look up for the y-value associated with a given x-value.
Then, we proceed to evaluate the absolute value function at x = 1. In accordance with the graph, the y-value , that is, from the vertical axis, associated with the x-value, that is, from the horizontal axis, equal to 1 is equal to a value of 3.
To learn more on absolute values: brainly.com/question/1301718
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Answer:
△PQR and △RST are not similar.
Step-by-step explanation:
In triangle △PQR, two known interior angles are 34° and 80°. So the measure of third angle is

In triangle △RST, two known interior angles are 24° and 90°.

Two triangles are similar if their corresponding angles are same and the corresponding sides are proportional.
Since the angles of △PQR and △RST are not same, therefore we can say that the △PQR and △RST are not similar.