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garik1379 [7]
3 years ago
13

If U is between T and B, find TU. TU = 6x + 16, UB = 2x – 1, TB = 55.

Mathematics
1 answer:
enot [183]3 years ago
3 0

Answer:

TU = 46

Step-by-step explanation:

Here, we are concerned with finding TU

Mathematically;

Since U is between T and B, by convention;

TB = TU + UB

Substituting the values so we can find x;

55 = 6x + 16 + 2x -1

55 = 6x + 2x + 16-1

55 = 8x + 15

8x = 55-15

8x = 40

x = 40/8

x = 5

But TU = 6x + 16; substitute the value of 5 for x

TU = 6(5) + 16

TU = 30 + 16

TU = 46

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Elden [556K]

Answer:

x = 18°\\\angle A = 73°

Step-by-step explanation:

By interior angle property on one side of the transversal.

\angle A+ \angle B = 180°\\6x - 35° + 3x + 53°  = 180°\\9x + 18° = 180°\\9x = 180° - 18°\\9x = 162°\\x = \frac{162°}{9}\\ \huge \red {\boxed {x = 18°}} \\\therefore \angle A = 6x - 35°\\\therefore \angle A = 6\times 18°- 35°\\\therefore \angle A = 108°- 35°\\ \huge \purple {\boxed{\therefore \angle A = 73°}} \\

3 0
3 years ago
Solve for m.<br> 22m^2 + 7m - 2 = 0
pshichka [43]

Answer:

x= -1/2 and x=2/11

Step-by-step explanation:

Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x

Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0

Look at it as if there are two equations: 22x^2+11x and -4x-2

Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)

Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)

Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2

Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:

(11x-2)(2x+1)

Solve each equation for x by equaling them both to zero

5 0
3 years ago
27 divided by 52,758
marta [7]

Answer:

511

Step-by-step explanation:

ok

3 0
3 years ago
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LOTS OF POINTS!!! HELP WITH 7 ANd EXPLAIN!!
saveliy_v [14]

Answer:

w=4

Step-by-step explanation:

The surface area of a prism is SA= 2lw+2lh+2hw

We are trying to find out the width if the SA is 240 square inches, length is 12 inches, and the height is 5 inches. Let's plug these numbers into the equation.

240=(2*12*w)+(2*12*5)+(2*5*w)

          24w+120+10w

240= 34w+120

-120           -120

120= 34w

120/34 = 34w/34

w is approximately equal to 3.5 which can be rounded to 4

w=4

Hope this is right! It was confusing at first but I understood it!

3 0
3 years ago
The formula
son4ous [18]

Answer:

The truck travel must to have a constant speed of 22.06\ ft/sec

Step-by-step explanation:

we have

d=1.3t^{2}+t+2

where

d expresses a car's distance in feet

t is the number of seconds

<em>Find the distance d for t=8 sec</em>

d=1.3(8)^{2}+8+2=93.2\ ft

<em>Find the distance d for t=8.2 sec</em>

d=1.3(8.2)^{2}+8.2+2=97.612\ ft

The total distance in this interval of 0.2 sec is

97.612-93.2=4.412\ ft

<em>Find the speed of the car</em>

Divide the total distance by the time

4.412/0.2=22.06\ ft/sec

therefore

The truck travel must to have a constant speed of 22.06\ ft/sec

4 0
3 years ago
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