The larger of two complementary angles is 6 degrees less than 7 times the smaller. Find the measure of the smaller angle.

Answers

Answer 1

Answer:

Step-by-step explanation:

The sum of two complementary angles is 90.

Let the two angles be x and y.

If x and y are complementary, then x+y = 90

If the larger of two complementary angles is 6 degrees less than 7 times the smaller then y = 7x-6 (y is the larger and x is the smaller)

Substituting y = 7x-6 into the formula above;

x+7x-6 = 90

8x - 6 = 90

8x = 90+6

8x = 96

x = 96/8

x = 12°

Hence the measure of the smaller angle is 12°


Related Questions

Point G is the incenter of the triangle. Point G is the incenter of triangle E D F. Lines are drawn from each point of the triangle to point G. Lines are drawn from point G to the sides of the triangle. Angle D F G is 16 degrees. Angle G F E is (2 x) degrees. What is the value of x? 4 8 24 32

Answers

Answer:

8

Step-by-step explanation:

8

Answer:

B

Step-by-step explanation:

2x=16

16/2=8

Answer is 8

I need help with this one please.

Answers

Answer:

m=3

Step-by-step explanation:

slope=m=y2-y1/x2-x1

(29,97),(18,64) for given points

m=64-97/18-29 ⇒ m=-33/-11

m=3

b): 97/29 ,64/18,-14/-8, 52/14,-71/-27

No, it does not matters which points you take to calculate the slope because at each point m=3for points (18,64) and (-8,-14)

m=-14-64/-8-18

m=-78/-26

m=3for points:(-8,-14) and (14,52)

m=52+14/14+8

m=66/22

m=3for points (14,52) and (-27,-71)m= 3write the equation of a line at a point (-8,-14)the equation of a line: y=mx+by=-14 , x=-8 , m=3, find b-14=3(-8)+b-14=-24+bb=-14+24b=10the equation : y=3x+10

Solve for x:
x - 6 = - 3x + 22
Plz I need this answer

Answers

Answer:

Your Answer is 7

Step-by-step explanation:

Very Simple!

x-6 = -3x + 22

Move the 6 over to the other side by adding 6 to both sides

x = -3x + 28

add 3x to both sides!

4x = 28

Divide by 4!

x = 28/4

x = 7!

Answer:

x=7

Step-by-step explanation

x-6 = -3x +22

 +6         +6

x          =        -3x +28

+3x               +3x

4x = 28

÷4.   ÷4

x=7

Which of the following is equivalent to 3⁴? 1. 12 2. 81 3. 7 4. 64

Answers

the correct answer is 81

Answer:

81

Step-by-step explanation:

9. The average of your 3 quiz grades is 24 points. Two of your quiz grades
are 30 points and 22 points. Write and solve and solve an equation to find
the third quiz grade. Please include both the equation and the answer.
Plz help!!!

Answers

Answer: x = 24 (x represents the 3rd quiz grade)

Step-by-step explanation:

what is 0.72 bar as a fraction

Answers

Answer:

0.72 is the same as 72100 (try putting both into a calculator!) as you can view 1.00 as 11 . Reducing the fraction gives you 72100 = 1825 .

K
(
28) cm
V
1 cm
M
Han
56x-5
1.5 cm
W
Given that figure JKLMNWWXYZ. Find the value of y

Answers

Answer:

[tex] \boxed{\sf y = 6 \ cm} [/tex]

[tex] \boxed{\sf x = 25 \degree} [/tex]

Step-by-step explanation:

It is given that JKLMN [tex] \sim [/tex] VWXYZ

So, from this we can say that:

JK [tex] \sim [/tex] VW & ∠LMN [tex] \sim [/tex] ∠XYZ

i.e.

(2y - 8) cm = 4 cm & 4x° = 5(x - 5)°

Solving for y:

⇒2y - 8 = 4

Adding 8 to both sides:

⇒2y - 8 + 8 = 4 + 8

-8 + 8 = 0:

⇒2y = 4 + 8

4 + 8 = 12:

⇒2y = 12

Dividing both sides by 2:

⇒[tex] \sf \dfrac{2y}{2} = \dfrac{12}{2} [/tex]

[tex] \sf \dfrac{2}{2} = 1: [/tex]

⇒y = [tex] \sf \dfrac{12}{2} [/tex]

[tex] \sf \dfrac{12}{2} = 6: [/tex]

⇒y = 6 cm

Solving for x:

⇒4x° = 5(x - 5)°

Expanding right hand ride expression:

⇒4x° = 5x° - 25°

Adding 25° to both sides:

⇒4x° + 25° = 5x° - 25° + 25°

25° - 25° = 0°:

⇒4x° + 25° = 5x°

⇒5x° = 4x° + 25°

Substracting 4x° from both sides:

⇒5x° - 4x° = 4x° - 4x° + 25°

4x° - 4x° = 0°:

⇒5x° - 4x° = 25°

5x° - 4x° = x°:

⇒x° = 25°

¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?
A 0.15
B 0.16
C 0.1
D 0.2

Answers

Answer: 0.2

Step-by-step explanation: Necesitamos ajustar la estimación de 0.1561 al décimo más cercano.

El número después del decimal es el número en el décimo lugar. Considere el número a un lado del lugar de las décimas y utilice el número para decidir si se reunirán o seguirán siendo el equivalente. Observe que el número a un lado del décimo lugar es mayor o equivalente a 5 o menos de 5. En el caso de que ese número sea más digno de mención o equivalente a 5, en ese punto el número se reunirá aún en la remota posibilidad de que ese número es menor de 5, en ese momento el número no se reunirá. Permanecerá igual.

Consideremos el número dado 0.1561

El número en el lugar de las décimas es 1

El número después del punto de las décimas es 5 (que es más prominente o equivalente a 5)

De esta manera, el número se reunirá en 0,2

Is -3/7 rational or irrational

Answers

Answer:

Is rational. The value is 0.42857.

Step-by-step explanation:

Suppose you are deciding whether to take a train or a car to travel 3,000 miles across a country. The train travels at 95 kilometers an hour, while a car will travel 65 miles per hour on average. Which mode of transportation will take less time? Note that 1 mi=1.6 km.

Answers

Answer:

The car

Step-by-step explanation:

Train:

1mi = 1.6 km

95km = 95/1.6 = 59.375 km

95km/h = 59.375mi//h

Car

     65mi/h

Comparative:

65 > 59.375

then:

the car is more faster

Answer:

The answer is A : the car will take less time because it travels at a faster speed. the train will travel at 95/1.6=59.03 while the car travels at 65

Step-by-step explanation:

Maria wants to purchase a shirt for $30. She also wants to purchase a purse for $60. She has to pay 7.5% sales tax on her purchase. What will be the total amount Maria pays including tax. ​
A. $96.75​

B. $6.75​

C. $83.25​

D. $90.00​

Answers

A)96.75

Multiply 90 x 7.5% to get 6.75

Add to get answer

Brainliest?


Yes I am kinda dumb lol

Answers

Answer:

I think it is A

Step-by-step explanation:

just trying to help

Answer: The answer is A

Step-by-step explanation: The other answers show an impossible answer. The rays cannot be crossed from A to T or C to T since they are on the other side of the ray.

( I hope this helps and I hope you understand it doesn’t make you any less smart to have difficulty with answering a question)

(I'm not 100% confident in the answer though)

-4x+1=2x-17 What is the solution for x ?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 4x + 1 = 2x - 17}[/tex]

Move 2x to left hand side and change it's sign

Similarly, move 1 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{ - 4x - 2x = - 17 - 1}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 6x = - 17 - 1}}[/tex]

The negative integers are always added but posses the negative ( - ) sign

[tex] \dashrightarrow{ \sf{ - 6x = - 18}}[/tex]

Divide both sides by -6

[tex] \dashrightarrow{ \sf{ \frac{ - 6x}{ - 6} = \frac{ - 18}{ - 6}}} [/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 3}}[/tex]

Hope I helped!

Best regards! :D

3. Which is the most precise measurement?

120 cm
128 cm
128.77 cm
128.8 cm

Answers

I think it is 128.77 cm. Because it has the most numbers, and it is presice.

The formula c = 2.54n can be used to convert a measurement of c centimeters to an equivalent measure of n inches. Henry is 170 cm tall. What is his height, in inches? Round your answer to the nearest tenth of an inch. 66.7 in. 66.8 in. 66.9 in. 67.0 in.

Answers

Answer:

66.9

Step-by-step explanation:

Answer:

[tex]\boxed {\tt 66.9 \ inches}[/tex]

Step-by-step explanation:

We are given the formula:

[tex]c=2.54n[/tex]

where [tex]c[/tex] is centimeters and [tex]n[/tex] is inches.

We know that Henry is 170 centimeters tall. Therefore, we can substitute 170 in for [tex]c[/tex]

[tex]170=2.54n[/tex]

We want to find out how tall Henry is, in inches. We must isolate the variable for inches, [tex]n[/tex], on one side of the equation.

[tex]n[/tex] is being multiplied by 2.54. The inverse of multiplication is division. Divide both sides of the equation by 2.54

[tex]\frac{170}{2.54} =\frac{2.54n}{2.54}[/tex]

[tex]\frac{170}{2.54}=n[/tex]

[tex]66.9291339=n[/tex]

Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 9 in the tenth place.

[tex]66.9 \approx n[/tex]

[tex]n \approx 66.9 \ inches[/tex]

Henry is about 66.9 inches tall.

. Una distribución de probabilidades permite organizar todos los resultados posibles de

una variable aleatoria junto con sus correspondientes probabilidades de ocurrencia.

El valor esperado E(x) de una variable aleatoria discreta se calcula multiplicando

cada valor que esta puede asumir por su probabilidad de ocurrencia y luego

sumando los productos.

La siguiente tabla muestra la distribución de probabilidades correspondiente al

tiempo (en minutos) que demora una computadora en recuperarse luego de una

falla. ¿Cuál es el tiempo más probable de espera para volver a utilizar la

computadora?

Tiempo (x) 2.0 3.0 4.0 5.0

Probabilidad P(x) 0.10 0.30 0.10 0.50​

Answers

Answer:

i don't understand Spanish ._.

Step-by-step explanation:

man I wish I understand you ._.

if 28 men can complete a work in 16 days wiil 8 men take to complete that work is it a.14 b.48 c.56 d.128

Answers

Answer:

56

Step-by-step explanation:

please help meee. i honestly do not get what is being posted and need help

Answers

It’s D because 10/3 is 3.3333, 3.3, the little thing (I forgot what it’s called) is always 3.14, and 11/4 is 2.75

any one single and i need help 50 times 6 dived by 30

Answers

Answer:

ahah yea and its 10 by the way

Answer:

heyyyyy :)    its 10

Step-by-step explanation:

What is the supplement of a 110 degree angle

Answers

Answer: 70 degrees

Step-by-step explanation: The supplement of an angle is the angle that has to be added to make 180°. So, the supplement of 110° is 70° because 110+70= 180.

In the triangle below, 21 = 35 and 23 = 100°.
1
3
What is the measure of angle 2?

Answers

Answer: Angle 2: 45°

Step-by-step explanation:

All triangles add up to 180, so all you would so is take both of those angles and subtract them from 180, so basically 180 - 135

Can (3,0) (0,-2) (6,2) and (-3,-4) be generated as a linear function yes or no?

Answers

Yes i think it is a linear function

please answer this I really need it!

Answers

Answer: 4/49 m^2

Step-by-step explanation:

Multiply

2/7 x 2/7 = 4/49

Answer: 4/49 m^2

Step-by-step explanation:

Area of a square = side X side

Side is 2/7

So, Area = (2/7)*(2/7) = 4/49 m^2

The “Get Up” challenge set to Ciara’s song is a dance that takes about 15 seconds to perform. What percent of the full 4-minute-and-23-second song does the dance represent?

Answers

Answer:

5.70%

Step-by-step explanation:

It takes the time to perform on Ciara's song = 15 seconds

Total time given as 4 minutes 23 seconds ≈ (4×60) seconds + 23 seconds

                                                                      = 240 seconds + 23 seconds

                                                                      = 263 seconds

Percent of time taken to perform of the full time = [tex]\frac{\text{time taken to perform}}{\text{Total time}}\times 100[/tex]

                                                                                = [tex]\frac{15}{263}\times 100[/tex]

                                                                                = 5.70 %

Therefore, percent of the time taken for the performance on the full song will be 5.70%  

Mr Cole made this diagram of his bedroom. Which is the area of Mr. Cole's bedroom?
10 ft
5 ft
4 ft
8 ft
A 90 square feet
B 82 square feet
c 72 square feet
D 36 square feet

Answers

The answer is 72 square feet

Answer:

B

Step-by-step explanation:

area =area of full shape - area of B

=10×9-4×2

=90-8

=82

5) Answer the following questions :
The total number of boys and girls in a school is 320. the
number of boys in this school is 180 find :
a) The ratio between the number of boys and that of girls.
b) The ratio between the number of boys & the total number of
pupils.
c)The ratio between the number of girls & the total number of
pupils.

Answers

Answer:

a)9:7 b) 9:16 c) 7:16

Step-by-step explanation:

the no of girls (320-180)=140

a) ratio of no of boys and girls=180/140=9/7=9:7

b)ratio of boys and total pupil=180/320=9/16=9:16

c) ratio of the girls and pupils=140/320=7/16=7:16

Answer:

a) 9:7 (9 being the boys,7 being the girls)

b)9:16 (9 being boys, 16 being the total pupils)

c)7:16 (7 being girls, 16 being the total pupils)

Step-by-step explanation:

a) No. of girls= 320-180

=140

Boys: Girls

180 : 140 [ ÷ 20]

9 : 7

b) Boys: Pupils

180 : 320 [ ÷ 20]

9 : 16

c). Girls: Pupils

140 : 320 [ ÷ 20]

7 : 16

Find point A ( x, y ) if point B is ( 6 , 10 ) and the midpoint between A and B is ( -4,5)

Answers

Answer:

(14,0)

Step-by-step explanation:

slope 10/5 or 2

4X-3 (x²+2x)
Find (f-g) (4)

Answers

Answer:

-11

Step-by-step explanation:

assuming 4x-3 = f(x) and the other equation = g(x)

(4x-3) - (x^2 +2x)

(4(4)-3) - (4^2 +2(4)

(16-3)-(16+8)

(13)-(24)

-11

the answer to this is -11

can someone pls help! is this correct?

Answers

Answer:

It's wrong

Step-by-step explanation:

Answer:yes it is correct

Step-by-step explanation:

why is knowing math so important

Answers

Math is used to help calculate certain things such as taxes and such, but they are mostly important for jobs since certain jobs require knowledge of math. Jobs such as working in a branch of engineer, architecture, etc.

Math is important because it helps us develop our critical thinking and analyzing skills. We perform math, daily.
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