All categories

3 years ago

20 points (9th grade) Value of x please

Mathematics

2 answers:

Roman55 [17]3 years ago

6 0

X=20

First observe the triangle, look at how the two sides are congruent. With that you can realize that the bottom right angle (3x+7) is congruent I the bottom left, meaning the bottom left angle is also 3x+7.

Next you would want to add 5x+13 to 3x+7 which will equal 180 because the two angles are on the same line and a line is 180 degrees. The equation would look like this after adding all like terms together: 8x+20=180. Next subtract 20 from both sides which will then look like 8x=160. Next isolate x by dividing by 8 on both sides to get x=20

Delicious77 [7]3 years ago

3 0

Answer: x is 20

Because both angles together make up 180° you can simply rearrange the equation to get 8x+20=180 and by solving you can come to the conclusion x=20

You might be interested in

aps * Bookmarks 6 New Tab 6 cell structure and tu. = Initial Knowledge Check What is the position of A on the number line below?

pav-90 [236]

You need to include the image of the number line for anyone to answer lol

6 0

3 years ago

4n<16 ; {1, 2, 3, 4} Select each correct answer. 1 2 3 4

ss7ja [257]

The article is not north of north and the 2

3 0

3 years ago

Select 2 statements that are true about the equation y+6=-10(x-3).

natta225 [31]

Answer:

(1) and (4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 6 = - 10(x - 3) is in this form

with slope m = - 10 → (1)

(a, b) = (3, - 6) → (4)

8 0

3 years ago

Is the following number rational or irrational? ✔45 A: rational B: irrational

Levart [38]

Answer:

A. Rational

Step-by-step explanation:

Any number that can be expressed as a fraction with denominator of 1, it is rational.

Since 45 can be expressed as

$= \frac{45}{1} \\$

It is rational

8 0

3 years ago

Read 2 more answers

Triangle ABC has vertices A(0,0) B(6,8) and C(8,4). Which equation represents the perpendicular bisected of BC?

AveGali [126]

Answer:

$y = \frac{1}{2}x+\frac{5}{2}$

Step-by-step explanation:

The perpendicular bisector of a line passes through the mid-point of the line and the product of slopes of the line and perpendicular bisector will be -1.

So,

$Mid-point\ of\ BC = (\frac{6+8}{2}, \frac{8+4}{2})\\= (\frac{14}{2}, \frac{12}{2})\\= (7,6)$

The line will pass through (7,6)

Now,

$Slope\ of\ BC = m_1 = \frac{y_2-y_1}{x_2-x_1} \\=\frac{4-8}{8-6}\\= \frac{-4}{2}\\= -2$

Let

m_2 be the slope of perpendicular bisector

So,

m_1*m_2 = -1

-2 * m_2 = -1

m_2 = -1/-2 = 1/2

The standard equation of line is:

y=mx+b

Where m is slope

So putting the value of slope and point to find the value of b

$6 = \frac{1}{2}*7 +b\\ 6 = \frac{7}{2} + b\\b = 6 - \frac{7}{2}\\ b = \frac{12-7}{2}\\b = \frac{5}{2}\\So,\ the\ equation\ of\ perpendcular\ bisector\ of\ BC\ is:\\y = \frac{1}{2}x+\frac{5}{2}$

7 0

3 years ago

*20 points* (9th grade) Value of x please

20 points (9th grade) Value of x please