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3 years ago

I have been trying to solve problem 5 and 6 for 30 mins

Mathematics

1 answer:

jeyben [28]3 years ago

6 0

Answer:

x = 45

Step-by-step explanation:

Theorems you need:

The measures of 2 adjacent angles that form a straight line with the outer sides add up to 180°.
The sum of the interior angles of a triangle add up to 180° ((n-2)×180).

Knowing those, you first want to find the triangle's 3 interior angles.

The angles <QSO & <QSR are adjacent (share a common ray) and form a straight line with the outer rays, therefore they add up to 180.

So m<QSO+m<QSR=180.

Rewrite the equation: m<QSR=180-m<QSO

Plug the known value in: m<QSR=180-(3x-17)

Distribution & Combining like terms: m<QSR=180-3x+17=197-3x

Now solve for the 3 interior angles to equal 180.

(197-3x)+(25)+(2x+3)=180

Combine like terms: 225-x=180

Isolate the x term (-225 to both sides): -x=180-225=-45

Isolate the x (×-1 to both sides):

x=45

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Finger [1]

Answer:

he loses 5 dollars

Step-by-step explanation:

5+20=25

25-$20=5

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3 years ago

Ryan uses 2 gallons of water to fill up 10 water balloons. Each balloon

Nutka1998 [239]

5 because your dividing 10 and 2.

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3 years ago

The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.

erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>

Let the coordinate of A be $(x_1,y_1)$ is (2,7) respectively
Let the coordinate of B be $(x_2,y_2)$
And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
The mid-point formula is

Now substitute the coordinates int he above formula we get
$(4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})$
Now equating we get

$4=\frac{2+x_2}{2}$ $2=\frac{7+y_2}{2}$

Multiply by 2 we get Multiply by 2 we get

$4(2)=2+x_2$ $2(2)=7+y_2$

$8=2+x_2$ $4=7+y_2$

Subtracting 2 on both

the sides Subtracting 7 on both the sides

$8-2=2+x_2-2$ $4-7=7+y_2-7$

$6=x_2$ $-3=y_2$

Rewritting the above equation Rewritting the equation

$x_2=6$ $y_2=-3$

<h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0

3 years ago

HELP ME PLEASE I'll give brainless.

Lana71 [14]

Answer:

∠FGI=40°

Step-by-step explanation:

CE║FH ⇒ ∠CDG=∠FGI=40°

3 0

3 years ago

Complete the pattern 4,15,7,12,10,9 ? ? ? show me how you got your work

kkurt [141]

Given the pattern:
4,15,7,12,10,9,..
Every other term after the first term is increasing by 3. Thus continuing the pattern we shall have:
4, 15, 7, 12, 10, 9, 13, 11,16
thus the missing numbers will be:
13,11,16

6 0

2 years ago

Read 2 more answers

I have been trying to solve problem 5 and 6 for 30 mins​

I have been trying to solve problem 5 and 6 for 30 mins