All categories

3 years ago

Need help on the last 2 questions..!

Mathematics

2 answers:

kifflom [539]3 years ago

5 0

What they want is the measure of angle 3 + the measure of angle 4.

Since angle 3 and angle 4 together create a straight line, this means they are supplementary, or adding up to 180°. So, m<4 + m<3 = 180

WITCHER [35]3 years ago

4 0

24)

<3 + <4 = 180 (supplementary angles)

25)

m<1 + m<2 = 180 (supplementary angles, sum = 180)

4x + 12 + 7x + 3 = 180

11x + 15 = 180

11x = 165

x = 15

m< 1 = 4x + 12 = 4(15) + 12 = 72°

m<2 = 7x + 3 = 7(15) + 3 = 108°

m<3 = m<1 (vertical angles)

6y = 72

y= 12

Answer

x = 15 ; m< 1 = 72°, m<2 = 108° and y = 12

You might be interested in

The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.

Finger [1]

Using the midpoint formula, the coordinates of endpoint H are (4, -6).

<h3>The Midpoint Formula</h3>

The midpoint formula is given as: $(x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )$

Where,

$(x_m, y_m)$ = coordinates of the midpoint

$(x_1, y_1)$ = coordinates of the first point

$(x_2, y_2)$ = coordinates of the second point

Given the following:

$(x_m, y_m)$ = M( 6,-4)

$(x_1, y_1)$ = G(8,-2)

$(x_2, y_2)$ = H(?, ?)

Plug in the values into the midpoint formula

$M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )$

Solve for the x-coordinate and y-coordinate separately

$6 = \frac{8 + x_2}{2}$

Multiply both sides

$6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}$

$-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}$

Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).

Learn more about midpoint formula on:

brainly.com/question/13115533

3 0

2 years ago

To qualify for the championship a runner must complete the race in less than 55 minutes ....... Use "t" to represent the time in

Svet_ta [14]

The inequality is t < 55

Solution:

Given that, To qualify for the championship a runner must complete the race in less than 55 minutes

Let "t" represent the time in minutes of a runner who qualifies for the championship

Here it is given that the value of t is less than 55 minutes

Therefore, "t" must be less than 55, so that the runner qualifies the championship

This is represented by inequality:

$t$

The above inequality means, that time taken to complete the race must be less than 55 for a runner to qualify

Hence the required inequality is t < 55

3 0

3 years ago

Which linear inequality is represented by the graph?

Romashka [77]

Answer:

1/3 is the slope and if it’s less than or greater to that, then the bottom half of the graph is shaded in.

7 0

3 years ago

Is -6.743743… a rational or irrational number?

yaroslaw [1]

It's rational because it contains a repeating digit pattern, 743 (first option).

In particular, if

x = -6.743743…,

then

1000x = -6,743.743743… .

Subtracting, we can eliminate the trailing end and solve for x exactly:

1000x - x = -6,743.743743… - (-6.743743…)

999x = -6,737

x = -6,737/999

8 0

3 years ago

Worth 30 points. i really need help.

omeli [17]

Answer: a) w = -26, -2

b) x = -4, -1

c) k = 17, -1

d) z = 65, 935

Multiple choice: D)

Step-by-step explanation:

a) (w+26)(w+2) = 0

w = -26, w = -2

b) (x+4)(x+1) = 0

x = -4, x = -1

c) (k-17)(k+1) = 0

k = 17, k = -1

d) (z-65)(z-935) = 0

z = 65, x z 935

Multiple Choice

Multiply all terms by 2.

<h2>PLEASE MARK AS BRAINLIEST!</h2>

5 0

3 years ago