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Oduvanchick [21]
2 years ago
10

Find the value of x. Then find the measure of each labeled angle. (2x + 24) (In picture)

Mathematics
1 answer:
Anna007 [38]2 years ago
6 0

Answer:

X= 52

2X+24 =128

Step-by-step explanation:

128+52= 180

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The diagram shows a 3 cm x 5 cm x 4 cm cuboid
Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since AB \perp BC, the length of segment AC is determined by Pythagorean Theorem, that is:

AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}

AC \approx 5.831\,cm

The length of segment AC is approximately 5.831 centimeters.

b) Since AB \perp BC \perp AD, the length of segment AD is determined by this Pythagorean identity:

AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}

AD \approx 7.071\,cm

The angle ACD is determined by the following trigonometric expression:

\cos C = \frac{AC}{CD}

\cos C = \frac{5.831\,cm}{7.071\,cm}

\cos C = 0.825

C = \cos^{-1} 0.825

C \approx 34.448^{\circ}

The angle ACD is approximately 34.448º.

4 0
2 years ago
What is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5,9.1)?
umka21 [38]
(-3, 1.5)....simply add the x coordinates together, divide them by two, and then do the same for the y coordinates.
4 0
3 years ago
A car travels 20 1/2 miles in 2/3 of an hour. What is the average speed, in miles per hour, of thr car?
zmey [24]

Answer:

27.33333... mph

Step-by-step explanation:

Find 1/3 of 20 1/2: 1/3*41/2=41/6

That equals 6.83333...

Now add 20 1/2 and 6.83333 = 27.3333...

Therefore, 27.33333... mph

3 0
2 years ago
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-Dominant- [34]

Answer:

Amount of fuel antifreeze = 6,279 gallon

Step-by-step explanation:

Given:

Amount of fuel =  273,000-gallon

Antifreeze = 2.3 %

Find:

Amount of fuel antifreeze

Computation:

Amount of fuel antifreeze = Amount of fuel × Antifreeze

Amount of fuel antifreeze = 273,000 × 2.3 %

Amount of fuel antifreeze = 6,279 gallon

8 0
3 years ago
Taylor ran 2 1/4 miles and walked 2 4/5 miles. How far did she run and walk
irinina [24]
Okay. So, we should convert fractions to the least common denominator, which is 20. That would be 2 5/20 and 2 16/20. Add both of those numbers up to get 5 1/20. Taylor ran and walked 5 1/20 miles.
5 0
3 years ago
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