∠C and ∠D are complementary.

Let m∠C=(8x)° and m∠D=(5x−1)°.

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

Complementary angles are angles that add up to 90°.

We have C and D as complementary.

Their sum is:

m∠C + m∠D = 90

Substitute values and solve for x:

8x + 5x - 1 = 9013x = 90 + 113x = 91x = 91/13x = 7
Answer 2

Answer:

x = 7

Step-by-step explanation:

Complementary angles are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are complementary. This means that the sum of ∠C and ∠D is equivalent to 90°.

⇒ ∠C + ∠D = 90°

⇒ 8x + 5x - 1 = 90°                                                          [∠C = 8x; ∠D = 5x - 1]

⇒ 13x - 1 = 90°

⇒ 13x = 90 + 1

⇒ 13x = 91

⇒ 13x/13 = 91/13

x = 91/13 = 7


Related Questions

Write the following as an inequality.
8 is greater than or equal to w, and w is greater than 4 use w only once in your inequality

Answers

Answer:

8 ≥ w > 4

Step-by-step explanation:

This says the w is greater or equal to 8 but it also says that w is greater than 4.

Answer:

8 ≥ w > 4

Step-by-step explanation:

Because 8 is greater than or equal to w, and w is greater than 4.

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
mm
4
M
3
mm
|*
mm
3
mm
Last one for today thank youu

Answers

Hope this helps Youuuuuuuu

Giving Brainliest

A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.


A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point

Answers

The spy will cover a distance of 60t in t hours and the special agent will cover a distance of 90t in t hours.

What is distance?

Distance is actually known as the amount of space between two points. When calculating speed, it is given as:

Speed = distance ÷ time

The spy's distance in t hours:

Distance = 60 × t = 60t.

The special agent's distance in t hours:

Distance = 90 × t = 90t

The distance between them will be =

Distance of special agent minus distance of the spy: 90t - 60t = 30t.

By the time the chase begins, the distance between the spy and special agent will be:

(2 × 60mph) - 0 = 120m - 0.

= 120m.

Time taken for the special agent to catch the spy: 120 + 60t = 90t

120 = 90t - 60t

120 = 30t

t = 120/30 = 4 hours.

Speed the special agent should chase the spy:

Distance = 240 miles

Time = 4 hours.

Then Speed = 240/4 = 60mph.

Learn more about speed on https://brainly.com/question/4931057

I need help, please? I am just really confused about this.

Answers

Answer:

blank space 1: 120

blank space 2: 85

Step-by-step explanation:

you subtract 35 from it

find the missing side length please!

Answers

Answer:

20.25

Step-by-step explanation:

The area of a rectangle is calculated by multiplying its width and length:

The area of the smaller rectangle is given as 9 ft^2 so to find its width we divide the given area with length which is 4.5

9/(4.5) = 2

The given rectangles are similar so their side lengths must be proportional

(4.5)/x = 2/9 cross multiply expressions

2x = 40.5 divide both sides by 2

x = 20.25

75% of 1250
find the value​

Answers

Answer:

937.5

Step-by-step explanation:

Given:

75% of 1250

Note:

Of = Multiply

Solve:

75% × 1250

= 937.5

~Lenvy~

Answer:

937.5

Step-by-step explanation:

We Know That 75% Is Same As 75

100

So, You Start By Dividing That, Or Making The Calculation Together, You Say

[tex] \frac{75}{100} \times \frac{1250}1[/tex]

[tex]0.75 \times 1250[/tex]

[tex] = 937.5[/tex]

Find the area of a right triangle with side lengths 12 cm, 35 cm, and 37cm

Answers

Answer:

210 cm sq

Step-by-step explanation:

Area of a triangle is 1/2bh.

12 cm and 35 cm would be both sides of the triangle, not 37 cm because it is the hypotenuse (largest side).

1/2*12*35=210 cm sq

A zoo measured the height, in feet, of 9 giraffes.
18, 16, 22, 14, 17, 19, 15, 19, 22
What is the median height of the giraffes?
16 ft
17 ft
18 ft
19 ft

Answers

Answer:

19 ft because the median is 4.5th item so,the commutative frequency just greater than 4.5 is 6.

so,median=9ft

Median is the middle value from lowest to highest.
So you order the numbers in:
14, 15, 16, 17, 18, 19, 19, 22, 22
The middle value/number is 18

An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?

A.
4 : 9

B.
8 : 27

C.
9 : 4

D.
27 : 8

Answers

Answer: C)

Formula: 1/3(3.14)•r^2•h

Explanation: 1/3•1^2•4•3.14

Gary wanted to determine the average height of boys at the high school. His older brother is on the basketball team, so he asked him to measure his teammates. After interpreting the results, Gary determined the average height of a high-school-aged boy to be 6 feet, 1 inch. HELP ASAPPPPP

Would you consider these results to be valid?

Yes, because only high-school boys were surveyed.

Yes, because the results were obtained randomly by measuring the boys basketball team.

No, because boys on the basketball team are likely to be taller than the average high school boy.

No, because there are no girls surveyed.

Answers

Answer:

The answer would be "no because boys on the basketball team are likely to be taller than other boys at the school"

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

complete the proof, word bank at bottom

Answers

Answer:

Step-by-step explanation:

2) definition of angle bisector

4) division property of equality

5) division property of equality

6) substitution property

7) SAS similarity

What is the value of x?

Answers

Answer:

x = 88 -5y/2

Step-by-step explanation:

(2x - 4) + 5y + x = 180
x = 180 - (2x - 4) -5y -x

x = 180 - x - 4 -5y

x = 176 - x -5y

2x = 176 - 5y
x = 88 -5y/2
Hope this helps :)


[tex] { \alpha }^{2} \beta + \alpha { \beta }^{2} [/tex]
Please solve this ​

Answers

If a and B are the zoros of the quadratic polynomial p(x)=4x^2 - 5x-1, find value of a^2B + aB^2 .

Solution

SINCE a and B are the roots of the polynomial: 4x^2-5x-1

Sum of the roots a+B =5/4

Product of the roots aB=-1/4

HENCE

a^2B+aB^2=aB(a+B)=5/4(-1/4)=-5/16

Concept:Relationship Between Zeroes and coefficients of a Polynomial

Help! How do I fill out the box at the top of the page? This isn't making sense (I'm in 7th)

Answers

Answer:

x= 4

y= 9

so in that case (x,y) would be (4,9)

then you go down to the x axis and go to 4.

then you go up 9 and that is your first point

same thing for the rest of them so it would be (6,3)

(1,3)

(8,7)

(8,9)

I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!

1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If Sofie uses only the completed surveys, what conclusion could she make about the percent of all high school students who use social media while doing schoolwork?


2.Tony decides to use observation. He visits 10 students and observes them doing schoolwork at home for 30 min. If a student looks at social media during that time, he notes it.
(a) Provide an advantage of using observation.
(b) Provide a disadvantage of using observation.
(c) What are the sample and population for Tony’s research?
(d) Suppose 3 of the 10 students looked at social media during the observation. What conclusion could Tony make about the percent of high school students who use social media while doing schoolwork?

Much thanks and appreciation!

Answers

Answer:

1. A. how much of the students time is spent on social media during school hours.

B. By using some kind of selection technique Like Having students draw number from a hat, who ever have the specific numbers will take her survey.

C. The population for Sofies research would be a rate of 5/2. For every 5 people who take the survey only 2 turned it in.

D. She would conclude that 1 out of every 2 or 50 percent of students use social media while doing school work.

2. a) It helps to get accurate data or records of the information he wants to process and also is a direct way of carrying out analysis.

b) The students definitely might get distracted in the process of his observation and there fore render the data collection not as accurate as it will be for analysis.

c) The sample are the 10 students

  The  population are high school students

d) Tony 's conclusion will be 3 out of 10 looked at social media

thus 3/10 * 100 = 30 %

Step-by-step explanation:

Use the data below.

22, 16, 18, 14, 16, 34, 20

Mean:

Median:

Mode:

Range:

Answers

Step-by-step explanation:

mean = sum of all data points / number of data points

(22+16+18+14+16+34+20)/7 = 140/7 = 20

median is the number, where half of the data points are smaller, and the other half are larger.

first we need to sort the data points

14, 16, 16, 18, 20, 22, 34

median = 18

mode is the data point occurring most often.

mode = 16 (occurring 2 times, while the others occur only once).

range is the difference between the largest and the smallest data point.

range = 34 - 14 = 20

Jack drives to his grandmother’s house at a constant rate of 65 miles per hour. If he can get to her house in 2 hours, how far does he live from his grandmother?

O:63
O:67
O:130
O:195

Answers

Answer:

130

Step-by-step explanation:

just multiply 65 by 2 and you get 130

pls what is the awer

Answers

10/75=13.333333334 so around 66 people

you can also just divide 500 by 75 then take it times 10 :)

The diameter of a circle is 13 m. Find its circumference in terms of pie

Answers

Answer:

The answer is [tex]13\pi[/tex] or 40.84

Step-by-step explanation:

We are given the diamater so

[tex]r=\frac{d}{2}[/tex]

[tex]r=\frac{13}{2}[/tex]

[tex]r=6.5[/tex]

Formula for circumference.

Take note.

C = circumference

r = radius

[tex]C=2\pi r[/tex]

You want your answer in terms of Pi.

So we can write another equation.

[tex]2\pi r=\pi x[/tex]

x stands for the number in terms of Pi.

Now we can solve for x.

[tex]x=\frac{2\pi r}{\pi }[/tex]

Now lets plug in what we know.

[tex]x=\frac{2*\pi*6.5 }{\pi }[/tex]

[tex]x=13[/tex]

The work shows the long division of 647 ÷ 3.



Find the values of a and b in the long division problem.

a =

b =

So, 647 3 = 215 +

Answers

I'm assuming ratio of a to b is the remainder of the long division.

Systems of equations by graphing

What would y = for this system?

Answers

Answer:

y = 0

Step-by-step explanation:

The intersection point of the system lies on the x-axisWe the y-value of the x-axis is 0y = 0

What is the area of this figure?

Answers

Answer:

234 mm^2

Step-by-step explanation:

These questions are tricky but to make them easier, try to break down the shape into smaller regular shapes and work them out.

I would divide this shape into 2 rectangles and one triangle

Area of small bottom rectangle: 4 x 11 = 44mm^2

Area of rectangle in the middle: 14 x 8 = 112mm^2

Area of triangle: 12 x 13/2 = 78mm^2

Add all the areas together = 44+112+78 = 234mm^2

Answer please!!!
Best answer gets brainliest!!!

Answers

Answer:

B. 6

Step-by-step explanation:

So in order to find this, you need to find the middle of the first quadrant, and the middle of the third quadrant. In this case, we would do, (11+13)÷2. This would equal 12. Next we do (19+17)÷2=18. Now we do 18-12=6

Write an equation in slope-intercept form for the line that passes through (6,6) and is
perpendicular to the line described

Answers

Answer:

Step-by-step explanation:

Solution :

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

perpendicular to the line described by : y = 2/3 x -2

So : product for two slopes = -1   means : m×2/3=-1

m = -3/2

now : y = -3/2 x+b

but this line :

through the point (6,6) : 6 =(-3/2)(6)+b....... b=15

conclusion :

the equation is : y = -3/2x +15

algebric expression 2f + 14 3 + 7f - 10 5.​

Answers

ANSWER..

•••••••••••••••••••••••••••••••••••••••••••••••••••

2f + 14 3 + 7f - 10 5.

Simplify:

[tex] = (9f + 38)[/tex]

•••••••••••••••••••••••••••••••••••••••••••••••••••

#Carry on Learning

what is the value of x

Answers

Hey there!


Assuming #1 ….


x + 7x + x = 180°
REWORD

1x + 7x + 1x = 180°

COMBINE the LIKE TERMS

(1x + 7x + 1x) = 180°

8x + 1x = 180°

9x = 180°

DIVIDE 9 to BOTH SIDES

9x/9 = 180/9

CANCEL out: 9/9 because it equal 1

KEEP: 180/9 because it give you the x-value

NEW EQUATION: x = 180/9

SIMPLIFY IT!
x = 20
||||~~||||~~||||~~||||~~~||||~~||||~~||||~~||||~~~||||

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

The sum of all the angles made at a point on a line where n lines meet, then the sum of (n+1) angles is 180°, as here, 2 lines meet at the center of the semicircle and so, 3 angles are here.So, by using this property we will be having the equation ;

[tex]{:\implies \quad \sf x^{\circ}+7x^{\circ}+x^{\circ}=180^{\circ}}[/tex]

[tex]{:\implies \quad \sf 9x^{\circ}=180^{\circ}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{180^{\circ}}{9}=\bf \boxed{20^{\circ}}}[/tex]

This is the required answer

I NEED HELP RIGHT NOWW

what is the y intercept of this line

Answers

Answer:

(0,21)

Step-by-step explanation:

when you want to find the x intercept make y=0

to find the y intercept make x=0

Sharon and Paul gave a 15% tip after having their hair cut. The amount of the tip was $6. Sharon's
haircut cost $25. Write and solve an equation to find x, the cost of Paul's haircut?

Answers

Answer: 31

Step-by-step explanation:

25+6 which equals the answer 31!

Using digits, what time is represented by quarter to eleven?

Answers

Answer:

10:45

Step-by-step explanation:

Answer:

10:45 :)

Step-by-step explanation:

What is the measure of x? Please help asap!

Answers

[tex]4x + x = 180[/tex]

[tex]5x = 180[/tex]

[tex]x = \frac{180}{5} = 36[/tex]

Answer:

36

Step-by-step explanation:

This is a Linear Pair. Adjacent (next to) angles that form a straight line. A good rule of thumb for 90% of Geometry, angle relationships are usually either supplementary or congruent. In this case, since they together form a straight line, they are supplementary.

x + 4x = 180

5x = 180

180/5 = 36

If you plug these numbers in, you have a 36 degree angle and a 144 degree angle (sum of 180). Easy way to check your work if ever unsure.

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