10 POINTS! Answer ASAP

Mathematics

1 answer:

ratelena [41]3 years ago

8 0

m5=75 degrees

m11=75 degrees

m16=65 degrees

To find 5, realize angles 5 and 8 equal 180, because they make up a straight line, line d.

180-105=75

To find 11, it is the same as finding 7. Just look at the similar sizes. Angle 7 is the same at angle 5, just turned around. There’s a term for this pair angles that I don’t remember now but it exists. Now, lines a and b are parallel, so their angles between lines that intersect both are the same too. This means, as angle 5 equals angle 7, angle 7 equals angle 11.

To find 16, we use a combination of the methods used in finding the previous angles.

180-115=65 degrees is angle 4

Angle 4=Angle 16

Knowing the two angles given and that lines a and b are parallel, you could find the measurements of every angle in each intersection if you wanted to.

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The surface area of a rectangle prism is 166 square feet. The surface area of a similar rectangular prism is 1494 square feet. I

vovangra [49]

The ratio surface area of two similar rectangular prism has the relationship of square time of the ratio of length. So the 1494/166=9=3². So the length of two has ratio of 3. So the length of the larger one is 5*3=15 feet.

5 0

3 years ago

This is a question from IXL. I need help! ASAP thanks

Nina [5.8K]

The image of triangle CDE after a rotation of 90º counterclockwise around the origin is graphed at the end of the answer.

<h3>What is a rotation?</h3>

When a polygon undergoes a rotation, this rotation is over an angle measure, that defines the coordinate rule for each vertex of the polygon.

For triangle CDE, the vertices are given as follows:

D(-7,-1), C(-7,-7), E(-4,-8).

The rule for a rotation of 90º counterclockwise around the origin, for each vertex (x,y) of the polygon, is given by:

(x,y) -> (-y,x).

Hence, applying the rule above, the vertices of the image of triangle CDE will be given as follows: