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2 years ago

Find the measure of the missing angles.

Mathematics

2 answers:

ryzh [129]2 years ago

5 0

Answer:

d = 69° , e = 32° , f = 79°

Step-by-step explanation:

d and 69° are vertically opposite angles and are congruent , so

d = 69°

e and 32° are vertically opposite angles and are congruent , so

e = 32°

69° , e , f lie on a straight line and sum to 180° , that is

69° + 32° + f = 180°

101° + f = 180° ( subtract 101° from both sides )

f = 79°

Tatiana [17]2 years ago

3 0

Answer:

Step-by-step explanation:

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Find the equation of the line between the points (10, – 5) and ( - 2,0).

Natali5045456 [20]

Answer <u>(assuming it can be in slope-intercept form)</u>:

$y = -\frac{5}{12} x-\frac{5}{6}$

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}$

Thus, the slope of the line is $-\frac{5}{12}$ .

2) Next, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute values for $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute $-\frac{5}{12}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

$y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}$

3 0

2 years ago

Which pairs of angles are alternate exterior angles? select yes or no

sasho [114]

A - No

B - No

C - Yes

D - Yes

C and D are alternate exterior angles

8 0

4 years ago

The length of a rectangle is twice its width. if the perimeter of the rectangle is 48 yd , find its area.

Katarina [22]

X = width
2x = length

2x + 4x = 48
6x = 48
x = 8
2x = 16

8*16 = 128

Your answer should be that the area is 128 square yards. Hope this helps!

7 0

3 years ago

A dog runs 100 meters in 30 seconds. How fast is he running

matrenka [14]

Answer:

3.33 m/s

Step-by-step explanation:

Distance divided by time = speed

100/30 = 3.33 m/s

6 0

3 years ago

Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices W(−2, 5), X(2, 5), Y(4, 0),

emmasim [6.3K]

Using the midpoint formula, the coordinates of the intersection of the diagonals of the parallelogram is: (1, 2.5).

<h3>What are Diagonals of a Parallelogram?</h3>

The diagonals of a parallelogram bisect each other, therefore, the coordinates of their intersection can be determined using the midpoint formula, which is: $M(\frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2})$ .

A diagonal is XZ.

X(2, 5) = (x1, y1)

Z(0, 0) = (x2, y2)

Plug in the values

$M(\frac{0 + 2}{2}, \frac{0 + 5}{2})$

= (1, 2.5).

Learn more about the diagonals of a parallelogram on:

brainly.com/question/12167853

#SPJ1

7 0

2 years ago