Find the measure of the exterior angle.

Find The Measure Of The Exterior Angle.

Answers

Answer 1

Answer: 108 degrees

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two remote interior angles. (Remote referring to the farthest angles from the exterior angle) 2a = (a+10) + 44. Combine like terms.

2a = a+ 54. Subtract “a” from both sides.

a= 54

You can check for correctness by plugging in 54 for a. 2(54) = (54+ 10) + 44. 108= 108.

(Remember, the exterior angle should equal the sum of the two remote interior angles)


Related Questions

HEY CAN ANYONE HELP ME PLZ

There were 35 students in a class. If 5/7 of the students were present on Monday, then how many students were NOT present on Monday.

Which is NOT an equivalent fraction to:3/4.

Answers

Answer:

2/7 is correct answer

oky na

[tex] \Large \underline{\tt Given} :[/tex]

[tex] \\ [/tex]

Total number of students = 35

Students present on Monday = [tex] \tt \dfrac{5}{7}\: of \:35[/tex]

[tex] \\ [/tex]

[tex] \Large \underline{\tt To \: Find} :[/tex]

[tex] \\ [/tex]

Students not present on Monday = ?

[tex] \\ [/tex]

[tex] \Large \underline{\tt Solution} :[/tex]

[tex] \\ [/tex]

As, we have :

Students present on Monday = [tex] \tt \dfrac{5}{7} of 35[/tex]

[tex] \\ [/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{7} \times 35[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{\cancel{7}} \times \cancel{35}[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = 5 \times 5[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = 25[/tex]

[tex] \\ [/tex]

Now, we have to find students not present on Monday :

As, we have :

Total number of students = 35 Students present on Monday = 25

[tex] \\ [/tex]

Therefore,

Students absent on Monday = 35 - 25 = 10

[tex] \\ [/tex]

Hence, 10 students were not present on Monday.

Find the equation of a line traveling through the points (-6, -5) and (12, 7).
Helpp pls due soon

Answers

I really don’t understand sorry

What is the Area of a rectangle with the length of 1/3 yard and the width of 3/4 yard please someone help!

Answers

Answer:

here.

 Area = (length) x (width) .

     Area = (1/3 yard) x (3/4 yard)

                               =  (1/3  x  3/4)  yard²

                                  =        1/4     yard² .

Answer:

3/12

Step-by-step explanation:

1/3=4/12

3/4=9/12

4/12*9/12=3/12 (.25)

How many centimeters are equal to 5 inches?
Remember, 2.54 cm = 1 in. Do not include units in
your answer.

Answers

Answer:

12.7 is your answer

5 x 2.54 = 12.7

The left side of a logarithmic equation is shown.
log (3 + 2) + log (3 + 3) + log (7 - 2) = ...
When the equation is solved, the potential solutions are r = {5,3,1, 0}. Which solutions must be excluded?
A.-5, - 1,0
B.-5,8
C.-1,8
D.-5,-1

Answers

A-5 I think it’s true becuase I had the same question and got it correct

Round to the nearest tenth if necessary. Use 3.14 for π. How long does it take to travel 150 miles at a rate of 60 mi/h? Show your work! I will give brainliest!

Answers

Answer:

?

Step-by-step explanation:

Answer: Hello, Today we are going to divide you want to divide the distance by rate.

150m/60mph =2.5h

Hope this helps and hope you carry on and hope you have learned something.Thanks!

HELP ASAP PLEASE! I need to write an equation of the line in slope-intercept form.

Answers

Answer:

y=2x-2

Step-by-step explanation:

The slope-intercept form is known as y=mx+c

y= the y coordinate

m= the gradient/slope

x= the x coordinate

c= y intercept

The y intercept is when the line crosses the y axis. The graph shows the y intercept is (0,-2). This means our value of c is -2.

Now we must find the value of m. The value of m is the slope of the graph. I usually figure out the slope by doing the change in y / change in x (by counting along how many squares). The change in y is two squares up and the change in x is one square along.

Therefore, the gradient would be 2/1. This equals 2 (so m=2).

Now, we can easily substitute these values into the equation given earlier. Therefore, the equation would be y=2x-2.

A car and a motorcycle leave the city at the same time and drive to a lake that is 120 km away. The speed of the motorcycle is 20 km per hour greater than the speed of the car, so the motorcycle arrives at the lake 1 hour before the car. Find the speed of the car and the speed of the motorcycle. Plz answer fast!!

Answers

Answer:

40 km/h and 60 km/h

Step-by-step explanation:

Let the speed of the car is x, then the speed of motorcycle is x + 20

The distance = 120 km

Time:

120/x = 120/(x + 20) + 1120(x + 20) = 120x + x(x +20)120x + 2400 = 120x + x² + 20xx² + 20x = 2400 x² + 2*10x + 10² = 2500(x + 10)² = 50²x  + 10 = 50x = 40

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

Answer:

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

un número decimal infinito menor que -4 y mayor que -5​

Answers

Answer:

-4/2

Step-by-step explanation:

es menor que -4 pero es mayor que -5

7x = 7.7 help please

Answers

Answer: X=1.1

Step-by-step explanation: Have a brilliant day- Lily (^_^)

Find the value of y for the given value of t.
y = x + 5; 2 = 3

Answers

Answer:

4

Step-by-step explanation:

If u put it ona graph then u get 4

A trash bin has a capacity of 50 gallons. What percentage of its capacity is each of the following? 60% 10% 90% 200% 5 gal 30 gal 45 gal 100 gal 5 gal 30 gal 45 gal 100 gal

Answers

Answer:

5 gallons is 1/10 of 50 gallons; this is 10%

30 gallons is 30/50 or 60%

45 gallons is 45/50 or 90%

100 gallons is  200%

Step-by-step explanation:

The area of a square having length 1 cm =
mm.​

Answers

Answer:

100mm

Step-by-step explanation:

the answer is 100mm.

An employee makes less than
$
78
,
000
a year in income. Which inequality and graph represent the employee’s possible income?

Answers

The inequality of the statememt is x < 78000

How to determine the inequality

From the question, we have the following parameters that can be used in our computation:

An employee makes less than $78,000 a year in income.

Represent the earnings of the employee with x

So, we have

x is less than $78,000

When represented as an inequality, we have

x < 78000

See attachment for the graph

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

What is the slope of y = -5 + 42?

Answers

the answer is m=0
your welcome

Answer:

slope should be -5

Step-by-step explanation:

the equation is y=-5+42

slope equation form is y=mx+b

m is the slope in the equation, b is the y-intercept(where it hits the line if graphed)

so b should be 42 and slope should be -5

If you need to make $678 and it costs $28 to make it and you are selling it for $40 each .. What is the minimum you have to sell

Answers

Complete question :

Mitch is making birdhouses to sell. He needs to make at least $678. Each birdhouse costs $28 to make. He is selling them for $40 each. What is the minimum he can sell to reach his goal?

Answer:

57

Step-by-step explanation:

you need to make $678 and it costs $28 to make it and you are selling it for $40 each .. What is the minimum you have to sell

Target profit = $678

Expenses per product = $28

Income per sale = $40

Profit per sale = $(40 - 28) = $12

Let number of sales or product = x

Hence,

$12 * x ≥ 678

12x ≥ 678

x ≥ 678 / 12

x ≥ 56.5

To the nearest whole number = 57

How many solutions does the equation 3x - 7 = 4 + 6 + 4x have?
OTwo
O Zero
O Infinitely many
O One

Answers

Answer:

one

Step-by-step explanation:

3x-7=4+6+4x

3x=7+4+6+4x

3x=17+4x

3x-4x=17

-x=17

x=-17

29,30,32,35,39,\ Which is the next number in this pattern?

Answers

Answer:

44

Step-by-step explanation:

it's adding one each time

Answer:

44 Its definitely this answer

The height odf a regtangular pyramid is 4 inches. The base of the pyramid measures 9 inches by 9 inches. What is the volume of the rectagular pyramid in cubic inches?

Answers

Answer:

[tex]V=108\ \text{inches}^3[/tex]

Step-by-step explanation:

Given that,

The height of a rectangular pyramid is 4 inches

The base of the pyramid measures 9 inches by 9 inches.

We need to find the volume of the rectangular pyramid. The formula for the volume of the rectangular pyramid is given by :

[tex]V=\dfrac{lbh}{3}[/tex]

Substitute all the values,

[tex]V=\dfrac{4\times 9\times 9}{3}\\\\V=108\ \text{inches}^3[/tex]

So, the volume of the rectangular pyramid is [tex]108\ \text{inches}^3[/tex].

The area of a rectangular field is 48m2 and one of its sides is 6m . How long will a lady take to cross the field diagonally at the rate of 20m/min

Answers

Answer:

It will take her approximately 28 seconds to cross the diagonal of the pitch

Step-by-step explanation:

If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.

Step one: Find the length of the field from its area.

The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.

i.e area = length X breadth.

Let us assume that the breadth = 6m

its length will be area / breadth = 42/ 6 = 7m

The length of the pitch = 7 m

Step Two: Find the length of the diagonal using Pythagoras' theorem.

From Pythagoras'theorem, the length of the diagonal  can be obtained by

[tex]diagonal = \sqrt{l^2 +b^2}[/tex]

[tex]diagonal = \sqrt{6^2+ 7^2} = 9.22m[/tex]

The length of the diagonal is 9.22m

Step three: Find the time using her speed and the distance she needs to cover.

Time = distance / speed

time = 9.22 /20 = 0.46 minutes

It will take her approximately 28 seconds to cross the diagonal of the pitch

is it 6, 9, 18, or 8?

Answers

Answer:

8

Step-by-step explanation:

I know because I got distracted question before

the spinner shown is ​

Answers

Answer:

where is the spinner

Step-by-step explanation:

Write each ratio as a fraction in simplest form.
9:4

Answers

Answer: 2 and 1/4

Step-by-step explanation: You make the fraction 9/4 then simplify.

Select all ratios equivalent to 6:2.
20:1 15:5 21:7


HELP

Answers

Answer:

The answer is 21:7 and 15: 5 are equivelent to 6:2

Step-by-step explanation:

Can I get help please

Answers

Answer:

Step-by-step explanation:

Assume the parabola is vertical.

y = a(x-0)^2 +7

y = ax^2 + 17

Plug in (1,-2) and solve for a

-2 = a1^2 + 17

a = -19

y = -19x^2 + 7

100 POINTS Which statement is true about the residual plot below?
The sum of the residuals is greater than zero.
2
A linear model is a good it for the data.
.
.
1
2
3
4
5 x
No regression model is appropriate for the data.
-1
.
.
.
-2
-3
A quadratic model is appropriate for the data.
Done
BEL

Answers

Answer:

I believe that the answer would be A linear model is a good hot for the data.

Step-by-step explanation:

Answer:

A linear model is good fit

Step-by-step explanation:

I did this

Which expression shows the factored form of 16x + 12y - 4 PLZZZZZZZ HELP I WILL LIST YOU BRIANEST

answers:
4(4x +3y)

4(4x +3y – 1)

16(x +4y – 12)

A.14xy

Answers

Answer:

It is 4(4x + 3y - 1) I just did this quiz

Step-by-step explanation:

Can i get some help with this question please

Answers

Which question do you need to be answered?
Llllllllllllllllllllllllol

What is the total cost on a pair of shoes costing $48.00 when the tax rate is
4.35%?*

Answers

Answer:

$50.09

Step-by-step explanation:

48 increase 4.35% =

48 × (1 + 4.35%) = 48 × (1 + 0.0435) = 50.088

can somebody help me please​

Answers

A: (3,6)
B: (4,0)
C: (6,0)

Answer: your question is blurry

Step-by-step explanation:

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