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kap26 [50]
4 years ago
5

Use the figure below to answer questions 10-11.

Mathematics
1 answer:
Anton [14]4 years ago
5 0

The two marked angles are complementary angles. This means that the angles are equal.

Hence, X + 1 = 2X - 3.

By rearranging, X = 4.

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Find the missing measurement. Round your answer to the nearest tenth. *
wariber [46]

Answer:

For the first image, the answer should be C) 11 ft.

For the second image, the answer should be C) 6 mi.

For the third image, the answer should be C) 6.9 m^2

Step-by-step explanation:

First image explaination: To get the area of a rectangle you would multiply length times width. 7 times 11 is the area given: 77- so the answer should be 11 ft.

Second image explaination: Divide 11.4 by 1.9.  

Third image explaination: Divide 41.4 by 6.

5 0
2 years ago
Which is bigger 3/11 or 3/12​
mr_godi [17]

Answer:

3/11

Step-by-step explanation:pls mark me brainliest

7 0
3 years ago
Read 2 more answers
Please Evaluate 27 times ( 1/3) to the 3 power. A). 1 B). 3 C). 9 D). 27
topjm [15]

Answer:

you want to follow PEMDAS so you would multiply 27 by 1/3 to get 81.003, which you would round to 81, then you would multiply 8 to the third power and you would get 512.

Step-by-step explanation:

27(1/3)^3

81^3

512

7 0
3 years ago
Which measurement is closest to the measure of segment W Z?
noname [10]
Like XZ divides the cord YV into two congruent parts (YW=5.27 cm=WV), this segment XZ must be perpendicular to the segment YV, then the angle XWY in triangle XWY is a right angle (90°) and the triangle XWY is a right angle.

We can apply the trigonometric ratios in triangle XWY:
Hypotenure: XY
sin 44°=(Opposite leg to 44°)/(hypothenuse)
sin 44°=YW/XY
sin 44°=(5.27 cm)/XY
Solving for XY. Cross multiplication:
sin44° XY=5.27 cm
Dividing both sides of the equation by sin 44°:
sin 44° XY / sin 44° = (5.27 cm)/sin 44°
XY=(5.27/sin 44°) cm
XY=(5.27/0.694658370) cm
XY=7.586462929 cm

This value XY is the radius of the circle, then:
XZ=XY→XZ=7.586462969 cm

tan 44°=(Opposite leg to 44°) / (Adjacent leg to 44°)
tan 44°=YW/XW
tan 44°=(5.27 cm)/XW
Solving for XW. Cross multiplication:
tan 44° XW=5.27 cm
Dividing both sides of the equation by tan 44°:
tan 44° XW / tan 44°=(5.27 cm)/tan 44°
XW=(5.27/tan 44°) cm
XW=(5.27/0.965688775) cm
XW=5.457244753 cm

WZ=XZ-XW
WZ=7.586462969 cm-5.457244753 cm
WZ=2.129218216 cm
Rounded to 2 decimal places:
WZ=2.13 cm

Answer: The <span>measurement is closest to the measure of segment WZ is
2.13 cm</span>
6 0
3 years ago
Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th
dexar [7]

Answer:

The labor fee is $14.25, each quart of oil costs $2.25.

Step-by-step explanation:

Let $x be thee price of each quart of oil and $y be a flat fee for labor.

1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,

5x+y=25.50.

2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,

7x+y=30.00.

3. Subtract from the second equation the first one, then

7x+y-(5x+y)=30.00-25.50,\\ \\7x+y-5x-y=4.50,\\ \\2x=4.50,\\ \\x=\$2.25.

Substitute it into the first equation:

5\cdot 2.25+y=25.50,\\ \\y=25.50-11.25,\\ \\y=\$14.25.

The labor fee is $14.25, each quart of oil costs $2.25.

6 0
3 years ago
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