exterior angle theorem

Exterior Angle Theorem

Answers

Answer 1
Answer: 141
Shape: Triangle
Degrees of a triangle: 180
Missing Angle: 180 - (32 + 109) = 39
——————————————————-
Supplementary Angles = 180
M = 180 - 39 = 141

Related Questions

(-6,-13) is reflected over the y-axis.

Answers

It will become (6, -13)

HELP! THIS IS DUE IN 30 MINUTESSS

Answers

Answer:

Base: 3 cm

Height: 7 cm

Step-by-step explanation:

The area of a parallelogram is base × height = area. We're given the area of the parallelogram as 21 cm^2 and the height as 7 cm.

base × 7 = 21This means that the base must be 3 cm because 3 × 7 = 21.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Calculate the value of x and give reason.

Answers

since these two angles are the same, we can write down following equation:

70=x+20

then x = 50

#3 i
Find the area of the figure.
5.2 ft
6.5 ft
3.9 ft
10.4 ft
The area is
square feet.

Answers

Answer:

77.74 square feet

Step-by-step explanation:

1. We have to keep the triangle and the rectangle apart and find the area of each separately then add the areas together.

The formula for the area of a rectangle is height x width = area

So, 6.5 feet x 10.4 feet = 67.6 feet squared

The formula for the area of a triangle is height x width x (1/2) = area

So, 5.2 feet x 3.9 feet x (1/2) = 10.14 feet squared

Now, add the two areas together.

10.14 square feet + 67.6 square feet = 77.74 square feet

Answer: 77.74 square ft

Step-by-step explanation:

first do the rectangle. 10.4 times 6.5. then traiangle(b times height divided by 2). then add them together.

Find the value of x.
If necessary, you may learn what the markings on a figure indicate.

Answers

Answer:

x = 36

Step-by-step explanation:

The two markings mean the sides are congruent. The triangle with two congruent sides is an isosceles triangle. According to base angle theorem (only applicable to isosceles triangles), the two base angles are equal.

The angle adjacent to x is 27.

The sum of all angles in a triangle is 180

We can create an equation using parts whole postulate (PWP.)

x + 27 + 27 + 90 = 180

x + 54 + 90 = 180

x + 144 = 180

x = 36

Hope this helps :)

Have a great day!

In one day, The Tool Shed rented out 25 self-propelled and riding mowers for a total fee of $900. The dolly rental cost was $20 for each self-propelled mower and $40 for each riding mower. Find the number of self-propelled mowers "(x)" and the number of riding mowers " (y)' rented for that day

Answers

They rented out 5 self-propelled mowers and 20 riding mowers.

Data;

Total number of tool rented out = 25Cost of tools rented = $900

System of Equations

To solve this problem, we have to write a system of equations to represent the problem.

since we have

x = self - propelled mowery = riding mowers

Let's write equations with these variables.

[tex]x+y = 25...equation (i)\\20x+40y = 900...equation(ii)[/tex]

From equation (i)

[tex]x+y= 25\\x = 25 - y...equation(iii)[/tex]

Put equation (iii) into equation (ii)

[tex]20x+40y=900\\x = 25-y\\20(25-y)+40y=900\\\\500-20y+40y=900\\500+20y=900\\20y=900-500\\20y=400\\\frac{20y}{20}=\frac{400}{20}\\ y=20[/tex]

Let's substitute the value of y into equation(i)

[tex]x+y =25\\x+20 = 25\\x = 25 - 20\\x = 5[/tex]

From the calculations above, they rented 5 self-propelled mowers and 20 riding mowers.

Learn more on system of equations here;

https://brainly.com/question/13729904

Is 0.5 greater than 0.59: PLEASE ITS DUE TODAY AND I HAVE TO TURN IT IN TODAY

Answers

Answer:

No.

Step-by-step explanation:

Let's see this in fraction form:

Simplified:

0.5 = 5/100.59 = 59/1000.5 = 50/100

59/100 has a 9 digit in the hundreths:

Equation:

50/100 < 59/1000.5 < 0.59.

When can you use the square roots of perfect squares to determine the perfect roots of decimals ?

Answers

If you want to find the decimal value of a square root, you can use the 2 closest perfect squares to them.

Example

Approximate the value of sqrt20

Pick the 2 closest perfect squares, one before and one after 20:

16 and 25.

So, the square root of 20 has to be between 4 and 5.

Since 20 is closer to 16 than it is to 25,

We can estimate the decimal value of sqrt20 to be around 4.4


So, your task this week is a maths problem;
The distance between Exeter and London is 175 miles. Sam left Exeter at 10:00 on Tuesday for London. Morgan left London for Exeter at 13:00 the same day. They travelled on the same road. Up to the time when they met, Sam's average speed was 25 miles per hour, and Morgan's average speed was 35 miles an hour.
At what time did Sam and Morgan meet?

Answers

Answer: Sam and Morgan met up at 18:00. Sam left Exeter at 10:00, and was on the road for 7 hours. I know this because 175 / 25 = 7. 10:00 + 7:00 = 17:00 meaning Sam got there at 17:00. Morgan on the other hand left at 13:00 and had an average speed of 35 mph. 175/35=5. 13:00 + 5:00 = 18:00. By 18:00 both Sam and Morgan had arrived in London thus 18:00 us your answer.

Step-by-step explanation:

I need help PLEASE subtracting mixed numbers i need help 3 - 1 3/4 how do you get the answer please show meeeeeee

Answers

Answer:

5/4

Step-by-step explanation:

3 - 1 3/4
=2 4/4 - 1 3/4
=1 1/4

Since 3 can be converted to 2 4/4 we can use that to calculate 1 3/4 alot more easier.

Hope this helps, pls mark as brainliest.

Can someone explain this? Plzzzz

Answers

Answer: 13.7636

The value is approximate. Round it however you need to.

====================================================

Explanation:

x = number of years

y = cost

The teacher wants to know what value of x will make y = 2500.

Plug it in and solve for x.

y = 134.02x + 655.40

2500 = 134.02x + 655.40

2500-655.40 = 134.02x

1844.6 = 134.02x

x = 1844.6/134.02

x = 13.7636 approximately

Somewhere between year 13 and 14 is when the price should be $2500. This is of course based on the regression line estimate which isn't perfect.

An engineer stands 30 ft. from a building and notes a 55 degree angle of elevation to the top of the building. How high is the building? Round your answer to 1 decimal place.

Answers

Answer:  42.8 feet

Work Shown:

h = height of the building

h is opposite the reference angle (55)

the adjacent side is 30 feet

tan(angle) = opposite/adjacent

tan(55) = h/30

h = 30*tan(55)

h = 42.84444 which is approximate

h = 42.8 feet

Write the equation in slope-intercept form that has a x-intercept of 30 and a y-intercept of 15

Answers

Answer:

[tex]\displaystyle y = -\frac{1}{2}\, x + 15[/tex].

Step-by-step explanation:

All non-horizontal line in the cartesian plane intersects the [tex]x[/tex]-axis at a unique point. The [tex]x\![/tex]-coordinate of that point is the [tex]\! x[/tex]-intercept of this line.

The [tex]x[/tex]-intercept of the line in this question is [tex]30[/tex]. Thus, the [tex]x\![/tex]-coordinate of the intersection of this line and the [tex]\! x[/tex]-axis would be [tex]30\![/tex].

Like all other points on the [tex]x[/tex]-axis, the [tex]y\![/tex]-coordinate of that intersection would be [tex]0[/tex]. Therefore, the coordinates of that intersection would be [tex](30,\, 0)[/tex].

Similarly, the [tex]y[/tex]-intercept of a non-vertical line is the [tex]y\![/tex]-coordinate of the point where that line intersects the [tex]y\!\![/tex]-axis.

The slope-intercept form of a line is in the form [tex]y = m\, x + b[/tex], where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the [tex]y[/tex]-intercept of this line. Both [tex]m\![/tex] and [tex]b\![/tex] are constants.

It is given that the [tex]y[/tex]-intercept of the line in this question is [tex]15[/tex]. Therefore, [tex]b = 15[/tex]. The slope-intercept equation of this line would be [tex]y = m\, x + 15[/tex] for some slope [tex]m[/tex] to be found.

All points [tex](x,\, y)[/tex] on this line should satisfy the equation [tex]y = m\, x + 15[/tex] of this line. The [tex]x[/tex]-intercept of this line, [tex](30,\, 0)[/tex], is a point on this line. Thus, the equation [tex]y = m\, x + 15\![/tex] should hold for [tex]x = 30[/tex] and [tex]y = 0[/tex]. Substitute these two values into the equation and solve for the slope [tex]m[/tex]:

[tex]0 = 30\, m + 15[/tex].

[tex]\displaystyle m = -\frac{1}{2}[/tex].

Therefore, the slope-intercept equation of this line would be:

[tex]\displaystyle y = -\frac{1}{2}\, x + 15[/tex].

50 points, Trigonometric Identities - in image: will give brainly to the best answer, help is appreciated :), unreasonable answers will be reported

Answers

Answer:

Sequence: b >> a >> d

Step-by-step explanation:

The steps are as below:

[tex]sec^2x - tan^2x = 1\\[/tex][tex]1/cos^2x - sin^2x/cos^2x = 1[/tex][tex](1 - sin^2x)/cos^2x = 1[/tex][tex]cos^2x/cos^2x = 1[/tex][tex]1=1[/tex]
sec²x-tan²x1/cos²x-sin²x/cos²x1-sin²x/cos²xcos²x/cos²x1

The order is

b,a,d

One person has 4 carrots. Another person has 3 carrots. How many carrots do they have all together?

Answers

Answer:

7 carrots all together

Step-by-step explanation:

4+3=7

[tex]\frac{1}{32}[/tex] ÷ ∛2 = [tex]2^{n}[/tex]

Answers

Answer:

[tex]n=-\frac{16}{3} (or) -5\frac{1}{3}[/tex] (or) -5.3 repeating

9 less than the product is 7 and x is 75..

Answers

The answer is 7x - 9 = 75. Please mark me brainiest

A cook is comparing prices for chicken and beef. The prices are proportional to the number of pounds bought and are described below.

Chicken: The price, y, in dollars, of x pounds of chicken is represented by the graph.

Answers

Answer:

$2.00

Step-by-step explanation:

PLEASE HELP ASAP!! will mark brainlest!

Answers

Answer:58 mi

Hope this could help.

35
28
=
20
m
i need it done asap the asingmentis do today i dont want to fail math class

Answers

Can You Take A Picture Of The Question Please

-3=z-8
Help me solve this equation

Answers

Answer: 5 = z

Step-by-step explanation: You just need to isolate z to find out what it is equal to. So you simply just add 8 from both sides and z is equal to 5.

or, -3=z-8

or, -3+8=z

or, z=5 Ans.

Find the area of the quadrilateral EASY given in the adjoining figure.​

Answers

Answer:

The area of quadrilateral EASY is 24 cm².

Step-by-step explanation:

Here's the required formula to find the area of quadrilateral EASY :

[tex]\longrightarrow{\pmb{\sf{Area_{(Quadrilateral)} = \dfrac{d}{2}\Big(h_1 + h_2\Big)}}}[/tex]

[tex]\pink\star[/tex] d = 6 cm[tex]\pink\star[/tex] h₁ = 5 cm[tex]\pink\star[/tex] h₂ = 3 cm

Substituting all the given values in the formula to find the area of quadrilateral EASY :

[tex]\longrightarrow{\sf{Area_{\tt(EASY)} = \dfrac{d}{2}\Big(h_1 + h_2\Big)}}[/tex]

[tex]\longrightarrow{\sf{Area_{\tt(EASY)} = \dfrac{6}{2}\Big(5+3\Big)}}[/tex]

[tex]\longrightarrow{\sf{Area_{\tt(EASY)} = \cancel{\dfrac{6}{2}}\Big( \: 8 \: \Big)}}[/tex]

[tex]\longrightarrow{\sf{Area_{\tt(EASY)} =3\big( \: 8 \: \big)}}[/tex]

[tex]\longrightarrow{\sf{Area_{\tt(EASY)} =3 \times 8}}[/tex]

[tex]\longrightarrow{\sf{Area_{\tt(EASY)} =24 \: {cm}^{2}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Area_{\tt(EASY)} =24 \: {cm}^{2}}}}}}[/tex]

Hence, the area of quadrilateral EASY is 24 cm².

[tex]\rule{300}{2.5}[/tex]

Identify the initial amount a and the rate of growthr (as a percent) of the exponential function y = 25(1.2)t Evaluate the function
when t=5. Round your answer to the nearest tenth.
a =
r=%
When I = 5, y =

Answers

Answer:

y = 62.21

a = 25

r = 1.2 - 1 from (1 + r) part of the formula = .2 or 20%

Step-by-step explanation:

y = 62.21

y = final amount

y = a(1+r)^t

chip said to dale, "if you give me one acorn, then we will have an equal number of acorns." Dale replied with delight, "If you give me one acorn, then I will have double the number you have!" What was the number of acorns each of them had

Answers

Answer:

chip had two acorn and dale had four

3. Find the actual area of the hallway.
4. Find the actual area of the kitchen.​

Answers

Hallway:

1/2 in x 5 in to get the area in inches
Multiply that by 6 to get the ft
(15 ft)

Kitchen:

3 in x 3 in
Multiple that by 6 to get the ft
(54 ft)

(REMEMBER: Final label is ft.)

Hallway = (1/2 in. (width) x (2 in. (length) + 3 in. (length)) x 6 ft. (actual size)

Hallway = (1/2 in. (width) x 5 in. (length)) x 6 ft. (actual size)

Hallway = 5/2 in. (area) x 6 ft. (actual size)

Hallway = 15 ft^2 (final answer)

Kitchen = (3 in. (width) x 3 in. (length)) x 6 ft. (actual size)

Kitchen = 9 in. (area) x 6 ft. (actual size)

Kitchen = 54 ft^2 (final answer)

Newport Township is building a new playground area for neighborhood kids. The playground will be a square with a perimeter of 56 8 3 x An equivalent expression is 56 8 ( 1 3 x ). Which expression represents the length of one of the playground's sides? 224 StartFraction 32 over 3 EndFraction x 14 two-thirds x 14 StartFraction 8 over 3 EndFraction x 4 (56 StartFraction 8 over 3 EndFraction x).

Answers

Answer: Its B aka 14+2/3x

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

a computer software retailer used a markup rate of 40% for a computer game that cost the retailer $25

Answers

Answer:

35$

Step-by-step explanation:

25 x 1.40 = 35

three coworkers decided to buy fruit to share at lunchtime.Antonio spent $1.47 on bananas.Laura spent $2.88 on apples Suzane spent $2.85 on oranges

Answers

okay? what’s the question?
If you’re asking how much the total is, then your answer is $7.20

Solve -4(1.75 + x) = 18

Answers

Answer:

-25/4

Step-by-step explanation:

-4 ( 1.75 + x ) = 18

-7 - 4x = 18

-4x = 18 + 7

-4x = 25

x = 25 ÷ -4

x = - 25/4

Hope this helps!

Pls give brainliest

Aroon is asked to choose five integers so that the mode is 2 more than the median and the mean is 2 less than the median.

What is the largest possible value of the range of Aroon's five integers?

Answers

The mean is the sum of observations divided by number of observations.x bar = (∑x)/nThe median is the middle value of the ordered data or the value of the interval n+1/2 for odd numbered data.The mode is the repeated value.

The highest value is 0

Number of observations= n= 5Median is the 3rd value when the data is arranged.Mode is unknown

The relation between Mean, Median and mode is given by

Mode= 3 Median - 2Mean---- equation1

According to the given condition

Mode= 2+median ----- equation 2

Putting equation 2 in equation 1

2+median= 3 Median - 2Mean

2 Mean= 3 Median - 2- Median

2 Mean= 2 Median - 2

Mean= Median-1

Mean- Median=1--------Eq. A

According to the second condition

Median- Mode=-2-----------eq. 3

Putting eq. A in eq. 3

Mean -1 - Mode=-2

Mean- Mode=-1

or

Mode- Mean=1------equation 4

Adding equation A and equation4

Mode- Mean=1

Mean- Median=1

Mode+ Median =2------- equation5

Again Putting equation2 in equation 5

2+median + Median =2

2 Median =2-2

2 Median =0

Median=0

Mean= 0-1

Mean= 0-1=-1

Mode- Mean=1

Mode-(-1)=1

Mode=0

Putting values in the formula of mean

x bar =∑x/5

(-1)5 = 0+0+ x1+x2+0

-5=  x1+x2

So the highest value is 0.

Learn more about mean here

https://brainly.com/question/542771

https://brainly.com/question/14532771

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