In ABC, the measure of the largest angle is 16 less than 4 times the smallest angle. The measure of the middle angle is 7 more than half the measure of the largest angle. What is the measure of the middle angle?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let A ≤ B ≤ C

largest angle is 16 less than 4 times the smallest angle

C = 4A-16

middle angle is 7 more than half the measure of the largest angle

B = C/2 + 7

A+B+C = 180°

A = 28 ⅐°

B = 55 2/7°

C = 96 4/7°


Related Questions

Which of the following expressions had a constant of 6 and a coefficient of 2/3?

Answers

Answer:

The answer is d, 2/3y-6

Step-by-step explanation:

number of side number of triangle sum of the measure of the angles ​

Answers

Answer:

Quadrilateral

#sides = 4

#∆ = 4-2 =2

sum= n(4-2)180° = 360°

pentagon

#sides =5

#∆ = 5-2 = 3

sum = n = (5-2)180° = 540°

Octagon

#sides = 8

#∆= 8-2 = 6

sum = n = (8 - 2)180° = 1080°

Nonagon

#sides =9

#∆ =9-2 = 7

sum = n=(9-2)180° = 1260°

Heptagon

#sides= 7

#∆= 7-2 = 5

sum = n= (7-2)180° = 900°

What are m21 and m_2?

Answers

Answer:

<1  = 35degrees

<2  = 30degrees

Step-by-step explanation:

Using the theorem that the sum of external angle is equal to sum of interior angle

Considering the smaller triangle

Exterior angle = 115 degrees

Sum of interior = <1 + 80

Equating both

<1 + 80 = 115

<1 = 115 - 80

<1  = 35degrees

For the big rectangle

Exterior angle = 115 degrees

Sum of interior = <2 + 85

Equating both

<2 + 85 = 115

<2 = 115 - 85

<2 = 30degrees

7x + 9 = 58? solve for x

Answers

Answer: x=7

Answer Explanation: 7x=58-9...
58-9 is 49...
7x=49...
Divide 49 by 7 and you get 7.

The solution to the equation 7x + 9 = 58 is x = 7.

To solve the equation 7x + 9 = 58 for x, we can follow these steps:

Subtract 9 from both sides of the equation to isolate the term with x:

7x + 9 - 9 = 58 - 9

7x = 49

Divide both sides of the equation by 7 to solve for x:

7x / 7 = 49 / 7

x = 7

Therefore, the solution to the equation 7x + 9 = 58 is x = 7.

To know more about equation:

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Mark rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 5

Answers

Answer:

1/3

Step-by-step explanation:

p=1/6+1/6

=2/6

=1/3

Help!
Find the measures of the indicated angle in the parallelogram

Answers

The internal angles of a parallelogram add to 360 degrees. A parallelogram must have equivalent opposite interior angles. Therefore angles a and c are the same and angles b and d are the same. We now know that angles a and c add to 102 degrees so we do (360-102)/2. Which is 129 degrees for both angles. The answer is 129 degrees for angle b

pls help me ill mark brainliest

Answers

Answer:

Step-by-step explanation:

I got 480 in^3

evaluate the expression for the given value 3a^2 + 6b^3. a=3 b=2​

Answers

Answer:

5. is the answer

Step-by-step explanation:

It says on image below I think

Answers

Answer:C

Step-by-step explanation:

Answer: bro i cant see it can you make it lighter

Step-by-step explanation:


Aquestion that can be answered by
collecting data that has variability,

Answers

You need to give more info

The national mean annual salary for a school administrator is $90,000 a year (The Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state and to see if they differed from the national average. Click on the datafile logo to reference the data.
A. Formulate hypotheses that can be used to determine whether the population mean annual administrator salaries in Ohio differ from the national mean of $90,000.
B. The sample data for 25 Ohio administrators is contained below. What is the p-value for your hypothesis test in part A?
C. At alpha = 0.05, can your null hypothesis be rejected? What is your conclusion?
D. Repeat the preceding hypothesis test using the critical value approach?
Salary Data
77600
76000
90700
97200
90700
101800
78700
81300
84200
97600
77500
75700
89400
84300
78700
84600
87700
103400
83800
101300
94700
69200
95400
61500
68800

Answers

The answer is C okay

Please help me (>^ <)

-Solving Equations with variables on both sides

Answers

Answer:

1) x = -1

2) x = 11

3) x = -3

4) x = -14

5) x = -7

6) x = 5

7) x = 12

8) x = -4

Step-by-step explanation:

use the photomath app

HELP I REALLY NEED HELP WITH THIS
Write an equation with a variable AND solve it. A truck contained 77 gallons of gas. It leaked 11 gallons per minute, m, until here were 22 gallons left. How many minutes passed?
Equation:
Answer:

Answers

Answer:

answer = 5

Step-by-step explanation:

77-22=55

55÷11=5

whats the ansewr to 4/7--3/7

Answers

Answer:

1

Step-by-step explanation:

4-3=1 denominator never changes may i be marked brainliest?

Which is the graph of g(x)? ​

Answers

Answer: A because its always A

Step-by-step explanation:

2, 1, 1/2, 1/4 which number should come next​

Answers

1/8 should come next

Can someone solve for x? And maybe explain it in a simple way?

Answers

Answer:

x=10

Step-by-step explanation:

Because of the two parallel lines, the ratio between the sides must be the same.  Since the bottom is 12 to 18 (a ration of two to three) we know that x and x+5 would have the same ratio.  Logically, x would have to equal 10 so that x+5 would equal 15 and a ratio of two to three would exist there too.  If you go to solve a problem and the answer isn’t obvious, jut set up a ratio.

12/18=x/(x+5)

then cross multiply and solve

12(x+5)=18x

12x+60=18x

60=18x-12x

60=6x

10=x

Answer:

x=10

Step-by-step explanation:

You can set it up as a proportion, since the lines are parallel, the sections are proportionate to each other.

[tex]\frac{x}{12} = \frac{x+5}{18} \\18x=12(x+5)\\18x=12x+60\\6x=60\\x=10[/tex]

Cara is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1/5 of the sundaes are mint ice cream and 1/2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

Answer:

5

Step-by-step explanation:

HOPE THIS HELPS YOU!

brainliest?

1/5=20%

25. 100%
X. 20%
X=25•20/100
X=500/100
X=5.
5 are mint ice cream

25-5=20
1/2 of 20 is 10
10 are chocolate

25-(5+10)=25-15=10
10 are vanilla

In a park, the ratio of adults to children is 11 to 9. If there are 320 people in the park, how many children are there?

Answers

Answer:

144

Step-by-step explanation:

320 ÷ 20 = 16

adults : children

11 : 9

9×16 = 144

The courtyard outside East Middle School is in the shape of a rectangle and half-circle.
What is the approximate area of the courtyard?

Answers

Answer:

The correct option is the third one counting from the top. (5892 m^2)

Step-by-step explanation:

First, we need to remember that:

For a rectangle of length L and width W, the area is:

A = L*W

For a circle of diameter D, the area is:

A = pi*(D/2)^2

Where pi = 3.14

In the image, we can see a rectangle and half a circle, the total area of the image will be equal to the area of the rectangle plus the area of the half circle.

In the image, we can see a rectangle of length L = 100m and width W = 50m

Then the area of the rectangle is:

A = 100m*50m = 5000m^2

And we can see that for the half-circle the diameter is D = 50m

Note that the area of a half-circle is half of the area of a complete circle, then the area of that half-circle is:

A = (1/2)*(3.14*(50m/2)^2) = 981.25 m^2

If we add these two areas we get:

Total area =  5000m^2 + 981.25 m^2 = 5981.25 m^2

If we round it up, we get:

Total area = 5982 m^2

The correct option is the third one counting from the top.

The library of a contemporary elementary school is circular. The floor
plan includes sectors reserved for science materials, literary materials,
reference materials, and so on. Find the area of the reference section
excluding its storage area.
The area of the reference section excluding its storage area is
(Round to the nearest hundredth as needed.)

Answers

Answer:

The area of the reference section excluding its storage area is approximately 157.78 square feet.

Step-by-step explanation:

The area of the reference section excluding its storage area ([tex]A[/tex]), in square feet, is the area of the greater circular sector minus the lesser circular sector, that is:

[tex]A = \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}} \times \pi \times (37.5\,ft)^{2} - \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}}\times \pi \times (12\,ft)^{2}[/tex]

[tex]A \approx 157.781\,ft^{2}[/tex]

The area of the reference section excluding its storage area is approximately 157.78 square feet.

True or false
A sample space can be written as an organized list, a table or a tree diagram.

Answers

Answer: true I think

A cube has a surface area of 54cm2. What is the volume of the cube?

Answers

Answer:

27 cm³

Step-by-step explanation:

A = 6 a²

V = a³

V=6A3/2

36=6·543/2

36≈27cm³

Hope this helps! Pls mark brainliest

trigonometry
y=? x=?

Answers

Answer:

y=9cm

x=90°

Step-by-step explanation:

y=9cm(being perpendicular)

x=90°=being perpendicular)

Can the sides of a triangle have lengths 8, 17, and 18?

Answers

Answer:

Step-by-step explanation:

Tak

HELP ME OUT PLEASE URGENT

Answers

I think its 10



Correct me if im wrong

But all u have to do is multiply 2.5 x 4=10

Two sides of an isosceles triangle are 4 and 8. Which of the following choices could be the measure of the third side?
A. 10
B. 8
C. 6
D. 4

Answers

Answer:

8 is answer. isoceles triangles must have two equal sides, where the smaller makes the base and the two larger are the legs.

Step-by-step explanation:

The measure of the third side of an isosceles triangle is 8 units.

What is an isosceles triangle?

An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.

For the given situation,

The sides of an isosceles triangle are 4 and 8.

In isosceles triangle, two sides have equal length and the base should be less.

From the measurements given, the base could be 4 units and the third side is same as 8 units.

Hence we can conclude that the measure of the third side of an isosceles triangle is 8 units.

Learn more about an isosceles triangle here

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A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? mmnle 10 percent would be 10% You can find the percent​

Answers

Answer:

The percentage in mark up is 503.56%.

Step-by-step explanation:

The percentage in markup is the change(retail - cost) divided by the initial cost, and multiplied by 100%.

In this question:

Cost: 1.49

Change: 8.99 - 1.49 = 7.5

Percentage change:

(7.5*100%)/1.49 = 503.56%.

The percentage in mark up is 503.56%.

What’s the answer to this

Answers

Answer:

D: 39.71 pi m cubed

Step-by-step explanation:

To find the volume of a cylinder, you must use the equation V=pi times the radius squared times the height.

For this problem, the radius is 1.9 and the height is 11, and this gives you 124.75 which divided by pi, is rounded to 39.71

In the figure below, what is the measure of _x?
30
х
O A. 70°
OB. 300
o C. 60°
D. 90°

Answers

Answer:

50

Step-by-step explanation:

The sum of angle on a straight line is 180degres, hence;

X+3+x+20+x+7 = 180

3x+30=180

3x=180-30

3x = 150

X = 150/3

x = 50

Hence the value of x is 50

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