Find the value of x in the following figure.
(a)
60°
(2x + 40°
R

Answer:

x = 67º

Step-by-step explanation:

the sum of two angles on the same side = 180º so

x + 113º = 180º                       subtract 113º from both sides

x = 67º

Answer:

2 to 8

For every two dogs there are eight small dogs

or

for every large dog there is four small dogs (this is just simplified)

Answer:

Mr. Winters reads more than 35 pages. More than 35 would imply 35+

Answer:

Riley needs more than 65 students to sign up for a summer camp. So far, she has 30 students signed up. How many more students need to sign up for the camp?

Step-by-step explanation:

Just got it right on my test!!

Answer:

equation is x = 7

slope is undefined

Step-by-step explanation:

Answer:

perpendicular to the x-axis means a vertical line. So, all of its points have x-coordinate of 7

The slope of vertical lines is undefined.

Step-by-step explanation:

Step-by-step explanation:

4 (4b + 3) + 2b = 3 (b - 11)

16b+12+2b=3b-11

16b+2b-3b=-11-12

15b=-23

b=-23/15

Answer:

Step-by-step explanation:

B= -3

Do 4(4b + 3) first than the answer I get from that equation you

16b + 12 2b= 3(b-11)

Combine like terms

3

Distribute

4

Subtract

1

2

12

12

from both sides of the equation

5

Simplify

6

Subtract

3

3

b

3b

from both sides of the equation

7

Simplify

8

Divide both sides of the equation by the same term

Answer:

19 degrees.

Step-by-step explanation:

First solve the angles in the top triangle:

FHG = 180 - 135 = 45 (angles on a straight line = 180)

FGH = 180 - 105 = 75 (angles on a straight line = 180)

Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)

Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60

FDC = 180 - 119 = 61 (anges on a straight line = 180)

Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.

With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).

Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.

Answer: p = 4.9

Step-by-step explanation:

2,5 + 3(5-2.1p) = -13,37

2,5 + 3(5-2.1p) - 2,5 = -13,37 - 2,5

3(5-2.1p) = -15,87

3(5-2.1p) / 3= -15,87 /3

5-2.1p = -5.9

5+5.29 = 2.1p

(5+5.29 ) /2.1 = 2.1p /2.1

4.9 = p

Answer:

D

Step-by-step explanation:

4/4 = 1

Answer:

1.2

Step-by-step explanation:

The value of 'x' is 1.2 if CBA is similar triangle EDA.

Triangles are said to be similar triangle" if they are proportional equality corresponding sides and equal pair of corresponding angles".

According to the question,

∠C =∠E, ∠B=∠D and ∠A=∠A this implies given triangle is inscribed similar right angle triangle.

ΔCBA ≅ ΔEDA    [Similar triangle]

Properties of similar triangle: [tex]\frac{CB}{ED} = \frac{BA}{DA}[/tex]

[tex]\frac{6}{7}=\frac{7}{7+x}[/tex]

[tex]6(7+x)=49[/tex]

[tex]42+6x=49[/tex]

       [tex]6x=49-42[/tex]

        [tex]x= \frac{7}{6}[/tex] [tex]= 1.16666667[/tex] ≈ 1.2

Hence, the value of 'x' is 1.2 if CBA is similar triangle to EDA.

Learn more about similar triangle here

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Answer:

5x + 15

Step-by-step explanation:

Let's simplify step-by-step.

17−(−5x+2)

Distribute the Negative Sign:

=17+−1(−5x+2)

=17+−1(−5x)+(−1)(2)

=17+5x+−2

Combine Like Terms:

=17+5x+−2

=(5x)+(17+−2)

=5x+15

Answer:

=5x+15

Answer:

-3

Step-by-step explanation

You would first used distribuve property in the parenthisis.

Because there is a minus sign outside of the parenthisis, it would become (5x-2)

Combine like terms

15+5x=0

Subtract 15 from both sides

5x=-15

Divide 5 to get x

5x(/5)= -15(/5)

x=-3

Answer:

x=3

Step-by-step explanation:

it would go over the point 3,7 on the graph with a positive slope

The given inequality is solved to obtain as x ≥ 3.

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given inequality can be solved as follows,

4x - 5 ≥ 7

Subtract 7 from both sides to obtain,

4x - 5 - 7 ≥ 0

=> 4x - 12 ≥ 0

=> 4x ≥ 12

=> x ≥ 3

The graph for the given inequality is shown as below,    

Hence, the solution for the given inequality is x ≥ 3.

To know more about linear inequality click on,

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Answer:

[tex]E =[/tex] [tex](-3,3)[/tex]

Step-by-step explanation:

Given

Parallelogram: DEFG

[tex]D(x_1,y_1) = (-2,-4)[/tex]

[tex]F(x_3,y_3) = (0,7)[/tex]

[tex]G(x_3,y_4) = (1,0)[/tex]

Required

Find the coordinates of [tex]E(x_2,y_2)[/tex]

To do this, we make use of mid-point formula which is:

[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]

This gives:

[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

Multiply through by 2

[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]

[tex](-2,3) = (x_2+1,y_2+0)[/tex]

[tex](-2,3) = (x_2+1,y_2)[/tex]

By comparison:

[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]

So, we have:

[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]

[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]

This gives:

[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]

Hence, the 4th coordinate is: [tex](-3,3)[/tex]

Answer: 80.6 kg

Step-by-step explanation:

The answer is B. x is 400 g lighter than y.

Answer:

B. x is 400 g lighter than y.

Answer:

sowkdiwdjs

help me

Step-by-step explanation:

please lol

Answer:

OK this is easy the answer is r=2.4

Step-by-step explanation:

so what you would do is simply add 3.1 and 1.7to get 4.8

then you would divide 4.8 by 2 and get r=2.4

Answer:

h = 1,125

v = 450

Step-by-step explanation:

Total number of seats = 1575

h = number of seats in the home section

v = number of seats in the visitor section

There are two and a half times as many seats in the home section as there are in the visitor section.

h = 2 1/2 * v

h = 2 1/2v

Total = h + v

1575 = 2 1/2v + v

1575 = 3 1/2v

1575 = 7/2v

v = 1575 ÷ 7/2

= 1575 × 2/7

= (1575*2) / 7

= 3150 / 7

= 450

v = 450

h = 2 1/2v

= 5/2*450

= 2250/2

= 1,125

h = 1,125

Answer:

150pi

Step-by-step explanation:

lets just say the two circles are 10 and 10 in diameter. so, one square is 5 radius. The square is 25pi area. so two are 50pi area. the area of the rectangle is 200, so 150pi

Please tell me if I'm wrong D:

Answer:

21 hours

Step-by-step explanation:

84,000 = 4,000x, x = hours

84,000 ÷ 4,000 = x

x = 21

good luck, i hope this helps :)

Answer:

84000/4000=21 hours

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Answer:

The answer is option C

Step-by-step explanation:

To find the indicated angle we use sine

sin ∅ = opposite / hypotenuse

From the question

The opposite is 37

The hypotenuse is 41

So we have

sin ? = 37/41

? = sin-¹ 37/41

? = 64.4805

? = 64° to the nearest degree

Answer:

DE = 10

Please put the Brainlest

Answer:

278 divided by 50 is about 5 and a half so 5 would be your answer because he is completely filling 5 boxes.

Answer:

For number 2: 8/165

Step-by-step explanation:

The total number of coins = 11 ( 3 + 4 + 4 = 11).

The probability of picking a nickel first = 3/11 ( 4 nickels out of 11 total).

The probability of picking a dime second = 4/10 = 2/5 ( 3 dimes out of 10 coins left).

The probability of picking the third coin as a quarter = 4/9 ( 3 quarters out of 9 coins left).

I don't know the other problem, sorry.

Answer:

2)  8/165

3) 4/15

Step-by-step explanation:

2) P(N,D,Q) = 3/11 x 4/10 x 4/9

3) P(M,D) = 4/10 x 6/9