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mixer [17]
3 years ago
7

Point Tis on line segment SU. Given TU = 4x + 1, SU = 8, and ST = 3x,

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0

Answer:

5 units

Step-by-step explanation:

If point T is on the line segment SU, then ST + TU = SU.

Given

TU = 4x + 1

SU = 8

ST =  3x

To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;

3x+4x+1 = 8

7x+1 = 8

subtract 1 from both sides

7x+1-1 = 8-1

7x = 7

divide both sides by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the length TU

Since TU = 4x+1

TU = 4(1)+1

TU = 5

Hence the numerical length of TU is 5 units

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Find the measure of the indicated angle to the nearest degree.
deff fn [24]

Given:

A right triangle with legs 5 units and 6 units.

To find:

The measure of angle opposite of side whose length is 5 units.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Opposite}{Adjacent}

Let \theta be the missing angle. Then, for the given triangle,

\tan \theta=\dfrac{5}{6}

\theta=\tan^{-1}\dfrac{5}{6}

\theta=39.805571^\circ

Round the value to the nearest degree.

\theta\approx 40^\circ

Therefore, the measure of the required angle is 40 degrees.

8 0
3 years ago
Solve the equation.<br> Z<br> -7=<br> 3<br> 12<br> 7<br> Oz=<br> 3<br> Oz=2<br> Oz=-21<br> Oz=21
Troyanec [42]

Answer:

What is equation?

Step-by-step explanation:

6 0
4 years ago
If math students typically earn 24 points out of 35 possible on a test, how many points would be typical if there were 100 possi
Lilit [14]

Answer:

68.6

Step-by-step explanation:

Given the initial ratio of 24 points out of 35 possible points, you can set up a proportion (equivalent ratios) to find the expected number of points math students would ear on a test of 100 possible points:

\frac{earned}{possible}=\frac{24}{35}=\frac{x}{100}

Where 'x' is the number of points earned on the 100 point test.

Cross-multiply: 35x = 24(100) or 35x = 2400

Divide both sides by 35: 35x/35 = 2400/35

Solve for x:  x = 68.6

5 0
4 years ago
Please need help on this
jenyasd209 [6]

Answer: do you need help with 1 and 2?

Step-by-step explanation:

3 0
4 years ago
Change the fraction 7/12 to a decimal. Round your answer to the nearest thousandth
alina1380 [7]
Just divide.

\sf\dfrac{7}{12}\rightarrow7\div12\rightarrow0.58\overline{3}

0.583333. . .
      ^ This is the thousandths place

Look at the number after that, if it's 5 or more we round up, if it's 4 or less we round down.

It's 3, so we round down to 0.583.
7 0
3 years ago
Read 2 more answers
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