Find the measure of the missing angle using the exterior angle sum theorm.

Find The Measure Of The Missing Angle Using The Exterior Angle Sum Theorm.

Answers

Answer 1

Answer:

28°

Step-by-step explanation:

Theorem: the exterior angle of a triangle is equal tobthe sum of opposite interior angles of the triangle

therefore,

55 = unknown angle + 27

let the unknown angle be x

55 = x + 27

isolating x

x = 55 - 27

x = 28

thus, the missing angle is 28°


Related Questions

find the next four terms of the sequence 5, 4, 9, 13, 22

Answers

Answer:

38

Step-by-step explanation:

The first term of the given sequence is 9.

The second term is 13

= 9 + 4 . = 9 + 2 × 2.

The next number is 22.

= 13 + 9 . = 13 + 3 × 3 .

In the same way the next number of the given sequence will be

22 + 4 × 4 .

= 22 + 16 = 38.

Evaluate the expression 2

Answers

2^5 = 32

Hope this helps! :)

Answer:

32

Step-by-step explanation:

[tex]2^{5}[/tex]

= 2 × 2 × 2 × 2 × 2

= 4 × 4 × 2

= 16 × 2

= 32

Given a line segment that contains the points A,B, & C in order, if AB = x, BC = x, and AC is equal to 36, then x = _____.

Select one:
a. 18
b. 6
c. 36
d. 12

Answers

Answer:

a. 18

Step-by-step explanation:

AB+BC = AC

x + x = 36

2x = 36

x = 36/2

x = 18

If y is proportional to x, find the missing number.

A. 15
B. 12
C. 16
D. 18

HELPPP!!!!

Answers

Answer:

C. 16

Step-by-step explanation:

5 is half of 10, so 8 should be half of the next number.

Answer:

C. 16

Step-by-step explanation:

[tex] \frac{y}{x} = \frac{10}{5} = \frac{?}{8} \\ \frac{2}{1} = \frac{?}{8} [/tex]

cross multiplying

[tex]16 = ?[/tex]

so the missing number is 16

3
49:51
What is the solution to the system that is created by the equation Y =-X+6 and the graph shown below?
10
8
6
4
-10-8-6-44
2
4 6
8 10 x
4
46
-8
10
O (-8,-4)
O (-4,-2)
(4.2)
(6.3)
Mark this and retum
Save and Exit
Next
Submit

Answers

If you draw the graph of y = -x + 6 on the above graph the solution to system will be the coordinates of the point of intersection.
the equation of the line drawn above is y = 0.5x

so you can also find the solution by solving the system
y = 0.5x
y = -x + 6

0.5x = -x + 6
1.5x = 6
x = 6/1.5 = 4

and y = 0.5*4 = 2

The answer is (4, 2) - the third choice.

Find the perimeter of ΔNOP. Round your answer to nearest tenth if necessary. Figures are not necessarily drawn to scale

Answers

Answer:

P = 157.5 units

Step-by-step explanation:

3. Una forma de dividir facilmente entre 4 es dividiendo dos veces entre 2.Observa el ejemplo y aplica el procedimiento utilizado


Ejemplo: 568÷4=(568÷2)÷2
= 284 ÷2
= 142

a) 936÷4= c)2 812÷4=
b) 2 084÷4= d)3 720÷4=

Answers

Sbbshshshshhshsueieiee

hi can you help me in mate plis simplify the following algebraic expressions​

Answers

Answer:

[tex] \frac{3 {x}^{2} }{ {y}^{2} {z}^{6} } [/tex]

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

Write the product as a single power. 6^(5) * 6^(2) * 6^(5)

Answers

Answer:

6^12

Step-by-step explanation:

add up all the exponents

[tex]\displaystyle\bf \boxed{a^m\cdot a^n=a^{m+n}}\\\\6^5\cdot 6^2\cdot6^5=6^{5+2+5}=\boxed{6^{12} }[/tex]

Find x if : (-3/7)^-19 ÷ (-3/7)^8 = (-3/7)^- 2x+1​

Answers

Answer:

x=14

Step-by-step explanation:

(-3/7) power (-19-8)= (-3/7) power -2x+1

-19-8= -2x+1

-27= -2x+1

-27-1= -2x

-28= -2x

x=28/2

x=14

If 2.2 pounds = 1 kilogram and Mary weighs 120 pounds, how much does she weigh in
kilograms?

Answers

Given:

2.2 pounds = 1 kilogram

Weight of Mary = 120 pounds.

To find:

The weight of Marry in kilograms.

Solution:

We have,

2.2 pounds = 1 kilogram

Using this conversion, we get

1 pound = [tex]\dfrac{1}{2.2}[/tex] kilogram

120 pound = [tex]\dfrac{1}{2.2}\times 120[/tex] kilogram

                  = [tex]\dfrac{120}{2.2}[/tex] kilogram

                  [tex]\approx 54.54[/tex] kilogram

Therefore, the weight of Mary is about 54.54 kilograms.

How do I solve for X HELP

Answers

Answer:

x = 4 degrees

Step-by-step explanation:

The two angles have the same measurement. They are opposite angles.

26x + 7 = 31x - 13

Group like terms:

26x - 31x = -13 - 7

-5x = -20

x = 4

Check if you want to make sure.

Step-by-step explanation:

[tex]here \: is \: your \: solution : - \\ \\ both \: angles \: are \: equal \: (vertical \: anges) \\ \\ 26x + 7 = 31x - 13 \\ \\ solving \: the \: equation \: \\ \\ 26x - 31x = - 13 - 7 \\ \\ - 5x = 20 \\ \\ x = -20 \div 5 \\ \\ x = \: 4 \: degrees \: \: \: \:(Answer ✓✓✓( \\ \\ \huge\mathcal\blue{happy \: life (. ❛ ᴗ ❛.) }[/tex]

PLEASE HELPP ILL GIVE 20 POINTS

Answers

Answer:

C=20

Step-by-step explanation:

Question in the image

Answers

Answer:

c

Step-by-step explanation:

4.OA.2: The Turner family uses 548 liters of water per day. The Hill family uses 3 times as much water per day. How much more water does the Hill family use per day?

Answers

Answer:

1096 more water

Step-by-step explanation:

Let;

x = the water used in general

but used 3 times of the original = 3x

3*(548) = 1644 water a day

How much more water =New - original

where:

new = 1644

original= 548

1644 - 548

=1096 more water

Arrange the numbers as they appear from left to right on a horizontal number line.
2.85
-1.58
-2.5
-1.85
-2.57
-2.76
2.5

Answers

2.5 -2.76 -2.57 -1.85 -2.5 -1.58 2.85

Answer:

-2.76, -2.57, -2.5, -1.85, -1.58, 2.5, 2.85

hElP- please.
:) points!​

Answers

pretty sure the correct one is D !

Find all solutions to the equation.
cos x = sin x (6 points)

Answers

Answer:

Step-by-step explanation:

cos x=sinx

divide by cos x

1=tan x

tan x=1

[tex]tan x=1=tan \frac{\pi }{4}=tan (n\pi +\frac{\pi }{4})\\x=n\pi +\frac{\pi }{4} ,\\where~n~is~an~integer.[/tex]

x + 9x + 5 = 35 . Find value of x.

Answers

Answer:

x = 3

Step-by-step explanation:

x + 9x + 5 = 35

=> x + 9x = 35 - 5

=> x + 9x = 30

=> 10x = 30

=> x = 30/10

=> x = 3

Answer:

x = 3

Step-by-step explanation:

Combine like terms. Like terms have same variable with same exponent.

Here x and 9x are like terms

x + 9x + 5  =  35

     10x + 5 = 35

Subtract 5 from both sides

10x + 5 - 5 = 35 - 5

       10x = 30

Divide both sides by 10

10x/10 = 30/10

x = 3

the solution for 12x^2-13x+3=0

Answers

Answer: X= 3/4

Simplified: 1/3

I don’t know the answer so ignore the checked box

Answers

Answer:

CDHG

Step-by-step explanation:

Because you can go in that order and be able to get to the next letter. In the other option you cannot

A college with a graduating class of 4000 students in the year 2010 predicts that its graduating class will grow 5% per year.
Using an exponential function to model the number of students y in the graduating class t years after 2010 to predict the number
of students in 2017?

Answers

Hello,

[tex]u_0=4000\\u_1=4000*1.05 (for\ year\ 2011)\\\\u_n=4000*1.05^n\\So:\\year\ 2017: u_7=4000*1.05^7=5628,401690625\ \approx{5628}[/tex]

Using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4

What is an exponential function?

y = abˣ, where a is the initial population, b is the rate, and x is the time, is the standard exponential function.

How to solve this problem?

Here initial student population = 4000.

Rate = 5% = (100 + 5)/100 = 1.05

Time = 7 years.

Now, in 2017, the population will be y = 4000 * (1.05)⁷ = 5628.401691 ≅ 5628.4.

Therefore, using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4

Learn more about exponential function here -

https://brainly.com/question/14551308

#SPJ2

Find the greatest common factor of these three expressions.
6,63x^2, and 9x

Answers

Answer:

126x9

Step-by-step explanation:

SOMEBODY PLEASE ILL GIVE BRAINLIEST AND FREE ROUBUX

Answers

Answer:

The y-coordinate is 4. The point is (2,4)

Step-by-step explanation:

The point is 4 units above the x axis.

Answer:

y-coordinate=4

Step-by-step explanation:

What is the equation of the following line?

Answers

Answer:

c. y = -4x

Step-by-step explanation:

use slope formula

how do you know where to put the decimal point in problem 6?

6. 4 × 1.18 ​

Answers

Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product. To find out where the decimal point should be placed, count the number of decimal places after the decimal point in each factor.

Answer:

just do 64 * 118 = 7552

count the decimal points in BOTH the items 1 for the 6.4

and 2 in the 1.18 1+2 = 3

so starting from the right move in "3" positions and

put a decimal point

7.552

Step-by-step explanation:

can i please get some help on this one?

Answers

Answer:

wht yr u in tis is too hard yk

Step-by-step explanation:

can anyone answer this? (2y²-3xy)÷y.​

Answers

the answer would be y x(2y-3x)

Answer:

2y - 3x

Step-by-step explanation:

Given

(2y² - 3xy) ÷ y

Divide each term on the numerator by y , that is

[tex]\frac{2y^2}{y}[/tex] - [tex]\frac{3xy}{y}[/tex] ( cancel y on numerator/ denominator of both fractions )

= 2y - 3x

Find the measure of the indicated angle.

Answers

2x + 40 = 180

2x = 140

x= 70

answer is 70

f(x)=2^x by a factor of five

Answers

Wdym please specify what you want to solve.
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