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4 years ago

What is the measure of angle B in the triangle?

Mathematics

2 answers:

Marat540 [252]4 years ago

8 0

$180 - 120 = 60 \\ 60 - 16 = 44 \\ 44 \div 2 = 22$
x is 22
hope this helps

Sliva [168]4 years ago

5 0

Answer: an inequality in terms of x and 1904 that is true only for values of x that represent years before the start of the Russo-Japanese War is:

x <1904

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What is an equation of the line perpendicular to y=-x-2 and through (-2, 4)?

Salsk061 [2.6K]

Answer: y = x + 6

Step-by-step explanation:

$\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)$

$\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}$

$m=-1$

$\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}$

$\left(-1\right)m_p=-1$

$\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}$

$m_p=1$

$\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)$ $\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b$

$y=x+b$

$\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4$

$4=\left(-2\right)+b$

$-2+b=4$

$\mathrm{Add\:}2\mathrm{\:to\:both\:sides}$

$-2+b+2=4+2$

$\text{Simplify}$

$b=6$

$\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6$

$y=x+6$

3 0

2 years ago

Answer question 3 and also I will give you brainiest if you give the correct answer hurry!!!

icang [17]

To find the rate of change, you look at how much the y value increases with a change of 1 x. We see that as x increases from 1 to 2, y increases from 120 to 144. Then we subtract 144-120 to find the rate of change, which is just 24 (also note that x changes by 1 here).

Then for the initial value:
We see that y increases by 24 for 1 x, so subtracting the value at x=1 by 24 we get 120-24 = 96, which is the initial value.

Hope this helps

3 0

2 years ago

Solve 3(x - 4) = 11x

Ivanshal [37]

Answer:

$x = \frac{-3}{2}$

Step-by-step explanation:

3(x - 4) = 11x

Expand the brackets:

3x - 12 = 11x

Subtract 3x from both sides to isolate the -12:

3x - 12 = 11x

3x - 3x - 12 = 11x - 3x

-12 = 8x

8x = -12

Divide both sides by 8:

$\\\frac{8x}{8} = \frac{-12}{8}\\x = \frac{-12}{8}\\$

Simplify fraction:

$x = \frac{-12}{8}$

$x = \frac{-12 \div 4}{8 \div 4}\\x = \frac{-3}{2}$

Hope this helps!

7 0

3 years ago

Martin charges $15 for every 5 bags of leaves he rakes. Last weekend, he raked 27 bags of leaves. How much money did he earn?

Burka [1]

Set up a proportion and then cross multiply to solve. OR. 15/5 = $3 per bag is the unit rate per 1 bag.
Multiply 27*3=$81

8 0

4 years ago

Read 2 more answers

Find the value of X. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale. Ple

Cloud [144]

1. That is a right triangle, what means that it has a angle of 90°, so you can calculate the value of "x" "as below:

Tan(α)=Opposite leg/Adjacent leg

The angle α is 60°, so the opposite leg is "x" and the adjacent leg is 5.

2. When you substitue these values, you have:

Tan(α)=Opposite leg/Adjacent leg
Tan(60°)=x/5
x=(5)(Tan(60°)
x=5√3

Then, the answer is: The value of "x" is 5√3

4 0

3 years ago