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qaws [65]
3 years ago
9

Can someone please help me with this!!Will give brainliest!!

Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0
Here are the answers. Hope it helps.
Download pdf
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Need Help, I do not understand.
Lady_Fox [76]

Answer:

11. x=8, y=30

12. w=63°, x=86°, y=38°, z=25°

13. x=18, y=15

Step-by-step explanation:

You have been studying the angles related to transversals and parallel lines, so you know alternate (interior or exterior) angles are congruent (equal) and same-side (interior or exterior) angles are supplementary. You also know that linear angles sum to 180°, the measure of an angle formed by a straight line.

The red arrows in these diagrams signify that the lines so marked are parallel, so the above relationships apply.

11. The diagonal line is a transversal of the top and bottom parallel lines, so the angle marked 5x° is equal to the angle marked 40°. Writing that relationship as an equation, you have ...

... 5x° = 40° . . . . . . . the relationship of the angles

... x = 40/5 = 8 . . . . divide the equation by 5° to find x

The angle marked 3y° and the angle marked with a right-angle symbol are same-side interior angles formed by the vertical transversal with the top and bottom horizontal lines. Hence those angles are supplementary.

... 3y° +90° = 180°

... 3y° = 90° . . . . . . . subtract 90°

... y = 90/3 = 30 . . . .divide by 3°

12. These problems make use of the sum of angles that form a line (180°) and the sum of angles in a triangle (180°).

Together 117° and w form a line, so ...

... 117° + w = 180°

... w = 63° . . . . . . . . . . subtract 117°

The angles of a triangle add to give 180°, so ...

... w + 31° + x = 180°

... 63° +31° + x = 180° . . . . . put in the known value for w

... x = 180° -63° -31°

... x = 86°

Together, x and 56° and y form a line, so the sum of their measures is 180°.

... x + 56° + y = 180°

... 86° + 56° + y = 180° . . . . put in the known value for x

... y = 180° -86° -56° . . . . . . subtract the constants on the left

... y = 38°

The sum of angles y, 117°, and z is 180°.

... 38° + 117° + z = 180° . . . . use the known value for y

... z = 180° -38° -117° . . . . . . subtract the constants on the left

... z = 25°

13. The relationships used in problem 11 also can be used here.

... 5x° + 90° = 180°

... x = (180° -90°)/5°

... x = 18

The angles involving y are same-side interior angles, so are supplementary.

... 5(y +11)° + (4y -10)° = 180°

... 5y +55 + 4y -10 = 180 . . . . . . eliminate parentheses, divide by °

... 9y +45 = 180 . . . . . . . . . . . . . collect terms

... y + 5 = 20 . . . . . . . . . . . . . . . divide by 9

... y = 15 . . . . . . . . . . . . . . . . . . . .subtract 5

8 0
3 years ago
Find the measure of <_B (show work if possible)
Mandarinka [93]

Answer: <b is 59.3 degrees

Step-by-step explanation:

Triangles have total of 180 degrees

The bottom two points are both 4y

To solve: 4y+4y+(3y+14)=180

11y+14=180

-14

11y=166

Divide by 11

Y=15.1

So plug that in for y

3(15.1)+14=B

59.3

Hope this helped

Please mark Brainliest

;p

6 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 3x + 6y = –72. Fully reduced
VARVARA [1.3K]

The slope of the line is 2 for the equation that is perpendicular.

Slope of the line:

Slope of the line refers the change in y coordinate with respect to the change in x coordinate.

Given,

Here we have the equation 3x + 6y = - 72 that is perpendicular to the line.

Now, we need to find the slope of the line from it.

First we have to convert the given equation of line into standard form,

Then we get,

3x + 6y + 72 = 0

Now we know that the slope of the line for this type of equation is,

m = -a/b

Whlie we compare the equation with the standard form ax + by + c = 0,

Then we get the value of a = 3 and b = 6

Therefore, the slope of the line is

m1 = -3/6

m1 =-1/2

Here we need to find the slope of a line which is perpendicular to the given line.

Through the definition we know that product of two perpendicular line is -1.

So,

m1 x m2 = -1

(-1/2) x m2 = -1

m2 = 2

Therefore, the slope of perpendicular line is 2

To know more about Slope of the line here.

brainly.com/question/16180119

#SPJ1

5 0
1 year ago
The tip for excellent service in a restaurant is $20 for every $100 of a meal. What is the total bill for a $60 meal?
a_sh-v [17]
$72. The tip is $0.2 per $1, so you would pay $12 in tips plus the original $60
8 0
3 years ago
The cylinders are similar the volume of the larger cylinder is 9648 cubic inches what is the volume of the smaller cylinder
olga nikolaevna [1]
To find the volume of the smaller cylinder you will need to determine the scale factor by comparing the 2 cylinders. The scale factor is 1:2. This means that each dimension will be divided by 2 when going from the larger to the smaller figure.

Because volume is a three dimensional measurement, you need to divide 9648 by 2, three times.

9648/2=4824
4824/2=2412
2412/2=1206 cubic inches

The volume of the smaller container is 1206 cubic inches.
3 0
3 years ago
Read 2 more answers
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