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Rasek [7]
3 years ago
9

I need to find Angle B, but I cant figure it out! Please help.

Mathematics
1 answer:
Alborosie3 years ago
8 0

An outside angle equals the sum of the two opposite inside angles.

So you have:

(5x-35) = 2x +58

Solve for X then you can calculate Angle B:

(5x-35) = 2x +58

Subtract 2x from both sides:

3x -35 = 58

Add 35 to both sides:

3x = 93

Divide both sides by 3:

X = 93 /3

x = 31

Now for Angle B, replace x with 31:

Angle B = 2x = 2(31) = 62 degrees.

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What is the slope of the line represented by the equation y = y equals 4 Over 5
OLEGan [10]

\bf y= \stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

4 0
3 years ago
Read 2 more answers
One day in the playground,the ratio of the number of boy to the number of girl is 3:5 later 6girls come, 9boy leave, the ratio o
choli [55]

Answer:

The number of boys are 18 and the number of girls are 30.

Step-by-step explanation:

The ratio of number of girls to the boys = 3 : 5

Let the number of girls is g and boys is b initially.

b : g = 3 : 5

5 b = 3 g ..... (1)

Now, girls are 6 + g and boys are b - 9

So, the ratio is

(b - 9) : (6 + g) = 1 : 4

4 b - 36 = 6 + g

4 b - g = 42 .... (2)

From ( 1 ) and ( 2 )

4 b - \frac {5 b}{3}= 42\\\\\frac{7 b }{3} = 42\\\\b = 18

And , g = 5 x 18/3 = 30

So, the number of boys are 18 and the number of girls are 30.  

7 0
3 years ago
The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper wil
Mandarinka [93]

slope intercept form is y=mx+b

So slope intercept form is The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper will last about 80 days

(A) Lets make a table

X axis represents the Number of days paper used

y axis represents the packs of printer paper used

x            y

days      packs of printer paper used

0            0               (0 days , 0 packs used)

80          140           (in 80 days , 140 packs paper used)

The graph is attached below

(B) To find Equation of a line we use points (0,0)  and (80,140)

slope = \frac{y_2-y_1}{x_2-x_1} = \frac{140-0}{80-0} = \frac{7}{4}

y intecept is (0,0)

so b= 4

Slope intercept form of a line i y=mx + b

m is the slope and b is the y intercept

So slope intercept form of line becomes

y= \frac{7}{4} x

Standard form is Ax + By =C

y= \frac{7}{4} x

Multiply both sides by 4

4y = 7x

Now subtract 7x on both sides

-7x + 4y =0 is the standard form

(c) To find packs of printer paper  the manager expect to have after 30 days, Plug in 30 for x  and find out y

y= \frac{7}{4} x

y= \frac{7}{4}(30)= 52.5

Total 140 packs of printer paper

52.5 packs of paper used

Packs of paper remaining after 30 days = 140- 52.5= 87.5


8 0
2 years ago
Some animals on farms eat hay to get energy. A horse can eat twenty pounds of hay each day. Write and evaluate an expression to
dangina [55]

Answer:

B

Step-by-step explanation:

20pounds/day * 14days * 20horses

7 0
2 years ago
PLZ HURRY IT'S URGENT!
const2013 [10]

I = prt

To solve for r divide both sides by p and t.

r = I /pt

6 0
3 years ago
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