In triangle ABC, m∠A=(6x+9)∘, m∠B=(x−8)∘, and the exterior angle at C is 141∘.

What is the measure of angle B?
12∘
20∘
141∘
129∘

Answers

Answer 1

Answer:

12°

Step-by-step explanation:

Let's start with the easy first.

We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.

Now, we can use this to find the remaining two angles.

180° - 39° = 141°

So, this means that we can set up m∠A + m∠B = 141°.

6x + 9 + x - 8 = 141

7x + 1 = 141

7x = 140

x = 20

Finally, we can plug in for our x value and find m∠B.

m∠B = x - 8

m∠B = 20 - 8

m∠B = 12°

Answer 2

Answer:

12

Step-by-step explanation:


Related Questions

Please help me thank you

Answers

Answer:

19/24 option d is correct

PLEASEEEEE HELPP
Karen is having a party. She’ll have 2 tables fir every 6 guest

Answers

Answer:

i hate these questions lol her name do be karen sorry um you do multiplicaton for this question i hate aleks expesially thqat question i feel you bro

Step-by-step explanation:

Answer: it’s all in the explanation!

Step-by-step explanation:

So, in the question, it states that she’s gunna have two tables for every six guests. You’re gonna need to find out how much people are going to be at ONE table, so two divided by six! And as you know, that equals three. For the first space, since it’s a odd number, you need to use the three instead of six since there’s gunna be one table by itself. So three times 5. The first space is gunna be 15 :). The second space is somewhat the same process. What times three equals 21? Seven! So for the second space, you’re gunna pit seven. For the third one, you do 8 times three, which equals 24. And for the last space, it’s 10, for three times ten :), hoped this helped!

Helppppppp mmemeeeeme plzzzz

Answers

Hope this helps you solve your math problem.

A trapezoid with a height of 19 meters has a base of 26 meters and another base of 46 meters. What is the area of the trapezoid?


the area of the trapezoid is

A 342m2 B 598m2 C 684 m2D 1,368m2

Answers

Answer:684

Step-by-step explanation:

A= 1/2 h (b1+b2)

A= 1/2 19 (46+26)

A= 9.5 (72)

A=684

The answer is C... 684

A 6-sided die rolled twice. Let E be the event the first roll is a 5 and F the event "the second roll is a 5".
(a) Are the events E and F independent? |
Input Yes or No: Yes
(b) Find the probability of showing a 5 on both rolls. Write your answer as a reduced fraction.
Answer:

Answers

C an you po at a pi c tire of it please

david invest $10,000 in a CD that pays 8% compounded quarterly. how long will it take his investment to double

Answers

Answer:

Step-by-step explanation:

1. Write a equation

[tex]10,000(1+\frac{0.08}{4})^4^x[/tex]

2. plug in 20,000 to y

[tex]20,000=10,000(1+\frac{0.08}{4})^4^x[/tex]

3. Solve

HELP PLEASE ONCE MORE

Answers

Answer:

40 cubic units

Step-by-step explanation:

16x 3 = 48

48- 8 is 40

Find the measure of minor arc KL.
(x - 1)
G
H (5x + 7)04

Answers

Answer:

m(minor arc KL) = 153°

Step-by-step explanation:

"Measure of intercepted arcs between two diameters are equal in measure"

By this property,

m(JK) = m(HL)

(7x - 1)° = (5x + 7)°

7x - 5x = 7 + 1

2x = 8

x = 4

Therefore, m(arc HL) = (5x + 7)

                                  = 5(4) + 7

                                  = 27°

Now measure of minor arc KL = m(arc KH) - m(arc HL)

                                                  = 180° - 27°

                                                  = 153°

Therefore, measure of minor arc KL is 153°

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Make sure to simplify radicals. Leave your answers as radicals in simplest form.

Answers

n = 50√3
m = 5√2
just use trigonometry

NO LINKS-DOCS ETC
PLZ SOLVE ASAP
LOTS OF POINTS
WILL MARK BRAINLYEST

Answers

Answer: Betsy is incorrect.

Step-by-step explanation:

The area of a trapezoid is a+b/2 multiplied by h.

First, we should do 5+8/2= 6.5

Next, we multiply 6.5 with 4 because 4 is the height of the trapezoid.

6.5 times 4= 26

Betsy thought the answer was 52, but it is 26 so she is incorrect.\

I hope this helps, may god bless you! :)

One coin is flipped six times. What is the probability of flipping two heads and four tails?

Answers

Answer:

1/6 x 1/6 = 1/36

1/36 is our probability of getting two heads and four tails.

What are the missing numbers in the data set? Assume the numbers are in order.



24, 28, 32, 39, ___ Range = 18

Group of answer choices

41

42

43

44

Answers

Answer:

42

Step-by-step explanation:

To find the range, first put all the numbers in order. Then subtract the lowest number from the highest.

Hope this helps!If you have any questions revolving around this topic,feel free to ask me and I will be happy to help,Good luck!

The graph of a 4th-degree polynomial is shown. How many real zeros does this function have?
A. 1
B. 2.
C. 3
D. 4​

Answers

Answer:

C:  3

Step-by-step explanation:

The graph touches or crosses the x-axis in 3 places; thus, there are 3 real zeros.

I think 4 and don’t click on any links plz and thank you hope this is right and this helps

Plz show work,... need help fast please

Answers

Step-by-step explanation:

For 18:

[tex] {10}^{2} + {y}^{2} = {26}^{2} \\ 100 + {y}^{2} = 676 \\ {y}^{2} = 676 - 100 \\ {y}^{2} = 576 \\ y = \sqrt{576} \\ y = 24 \: in[/tex]

For 19

[tex] {10}^{2} + {( \frac{15}{2}) }^{2} = {c}^{2} \\ 100 + \frac{225}{4} = {c}^{2} \\ \frac{625}{4} = {c}^{2} \\ c = \sqrt{ \frac{625}{4} } \\ c = \frac{25}{2} \\ c = 12.5 \: m[/tex]

(b) Rewrite the percentage in the sentence below as a decimal.
The photographer filled 40% of her memory card with animal pictures.

Answers

40% = 0.4
Explication:
40 / 100 = 0.4

Harold can solve 25 math problems in 40 minutes. At that rate, how many minutes will it take Harold to solve 60 math problems?

Answers

25 problems in 40 minutes
60 problems in x minutes
25x=2400
x= 96
96 minutes

(4x-1)2=11
whats the solution

Answers

Answer:

x = 13/8

Step-by-step explanation:

(4x−1)(2)=11

Simplify both sides of the equation.

(4x−1)(2)=11

(4x)(2)+(−1)(2)=11 (Distribute)

8x+−2=118x+−2=11

8x−2=11

Add 2 to both sides.

8x−2+2=11+2

8x=13

Divide both sides by 8.

8x/8 = 13/8

which brings you to the answer of

x = 13/8

(Note:If this was a little confusing,feel free to ask me any questions revolving around this topic)

I don’t know what 2⁄3 × 1⁄8 × 5⁄9 =

Answers

Answer:

5/108

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5/108

Step-by-step explanation:

2/3 * 1/8 is 2/24

^2/24 can be simplified to 1/12

^ 5/9 * 1/12 is 5/108.

Therefore,

Your answer is 5/108 , if I understood the question correctly.

14. Classify the figure below. Identify how many faces, vertices, and edges.​

Answers

Answer:

5 faces

8 edges

5 vertices

The values and 14 are plotted on the number line.
&
What is the approximate clifference in tenths between the two values?
1.1

Answers

Answer: 12.9

Step-by-step explanation:

A line of infinite extent whose points correspond to the real numbers according to their distance in a positive or negative direction from a point arbitrarily taken as zero. I hope this explain the answer better!

What is the volume of this solid figure made with cubes?

Answers

Answer:

15 cubic units

Step-by-step explanation:

Use multiplication (V = l x w x h) to find the volume of a solid figure.

3*5=15

Suppose you buy a $10,000 bond at face value. The bond pays $450 annual interest. What is the yield on this bond? (Calculate to one decimal place)

HELP ASAP

Answers

Answer:

Yield on this bond = 4.5%

Step-by-step explanation:

Given:

Face value of bond = $10,000

Annual interest receives from bond = $450

Find:

Yield on this bond

Computation:

Yield on bond = [Annual interest / Face value]100

Yield on this bond = [Annual interest receives from bond / Face value of bond]100

Yield on this bond = [450 / 10,000]100

Yield on this bond = [0.045]100

Yield on this bond = 4.5%

What are all the values of x that make the quadratic A
equation below true?
x² – 16=0

Answers

x^2 = 16
x = 4
x = -4
good luck :)

Of 300 students in the cafeteria, 180 had lunch. Write the simplified ratio of the students in the cafeteria to the students that had lunch.

Answers

Answer:

300 : 180 = 5 : 3

Answer...
300 : 180 = 5 : 3


Find the surface area of the following triangular pyrarnid using the net.
Each triangle is congruent, with a base of 7 ftand a height of 6ft.

Answers

Answer:

B 84 is our answer

Step-by-step explanation:

triangle formula for surface area is base x height divided by 2 so 7 x 6 = 42 42 ÷ 2 = 21 All the other triangles are going to be the same so 21 x 4 = 84 so 84 is our surface area

Consider the system of quadratic equations
y = 3x^2 - 5x,
y = 2x^2 - x - c,
where c is a real number.

(a) For what value(s) of c will the system have exactly one solution (x,y)?

(b) For what value(s) of c will the system have more than one real solution?

(c) For what value(s) of c will the system have no real solutions?

Solutions to the quadratics are (x,y) pairs. Your answers will be in terms of c, but make sure you address both x and y for each part.

Answers

9514 1404 393

Answer:

  (a)  c = 4

  (b)  c < 4

  (c)  c > 4

Step-by-step explanation:

(a) The solutions to the system of equations can be found by substituting one expression for y into the other equation:

  3x^2 -5x = 2x^2 -x -c

  x^2 -4x +c = 0 . . . . . . . subtract the right side expression

The discriminant is

  d = b^2-4ac = (4)^2 -4(1)(c) = 16-4c.

The system will have exactly one solution when d = 0.

  16 -4c = 0

  4 -c = 0

__

(b) There will be more than one real solution when d > 0

  4 -c > 0

  c < 4 . . . . two real solutions

__

(c) There will be no real solutions when d < 0.

  4 -c < 0

  c > 4 . . . . no real solutions

_____

Additional comment

The question posed here simply asks for a value of c. It does not ask for the solutions (x, y). We can count them without knowing exactly what they are.

The table shows the height of a softball that Hallie threw in the air. Is the relationship shown linear? Why or why not?
••no links just answers••
I know it's not linear but I dont know why.​

Answers

Answer:

Not a linear relationship

Step-by-step explanation:

Given

The attached table

Required

Linear or not

To do this, we simply calculate the slope of the table at different intervals.

Slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (0.5,7.2)[/tex]

So, the slope is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{7.2 - 0}{0.5-0}[/tex]

[tex]m = \frac{7.2}{0.5}[/tex]

[tex]m = 14.4[/tex]

Let:

Let:

[tex](x_1,y_1) = (1,10.7)[/tex]

[tex](x_2,y_2) = (2,12.2)[/tex]

So, the slope is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12.2 - 10.7}{2 - 1}[/tex]

[tex]m = \frac{1.5}{1}[/tex]

[tex]m = 1.5\\[/tex]

See that the calculated slopes are not equal.

Hence, it is not linear

What value of x and y will make the polygon below a parallelogram?

Answers

Answer:

[tex]x = 4[/tex]

[tex]y =1[/tex]

Step-by-step explanation:

Given

The attached figure

Required

x and y

If the attached is a parallelogram, then:

Either segment of a diagonal are equal; So, we have:

[tex]3x = 12[/tex]

[tex]x + y = 5y[/tex]

In [tex]3x = 12[/tex]

Divide both sides by 3

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

Substitute [tex]x = 4[/tex] in [tex]x + y = 5y[/tex]

[tex]4 + y = 5y[/tex]

Collect like terms

[tex]5y - y =4[/tex]

[tex]4y = 4[/tex]

Divide both sides by 4

[tex]y = \frac{4}{4}[/tex]

[tex]y =1[/tex]

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Use the regression equation to predict the life span, y, for a gestation period of 6 months, x. Assume the variables x and y have a significant correlation. Gestation, x 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, y 30 12 6 3 25 12 10 40

Answers

Answer:

For a gestation period of 6 months, the life span is 15.

Step-by-step explanation:

Gestation(months)   x        8     2.1    1.3     1    11.5    5.3   3.8    24.3

Life span (years)       y       30    12      6      3   25      12    10     40

y =?   x= 6 months

Assuming the variables x and y have a significant correlation

Graphing the data on a spreadsheet

Using the linear equation obtained

y =  1.5229*x + 6.3425

x=6

y = 1.5229*6 + 6.3425

y = 15. 5

In the diagram below of triangle HJKHJK, LL is a midpoint of \overline{HJ}HJ and MM is a midpoint of \overline{JK}JK. If LM=71-9xLM=71−9x, and HK=23-xHK=23−x, what is the measure of LMLM?​

Answers

Answer:

Step-by-step explanation:

Since J is the midpoint of HK,  then HJ=JK   and 3x+5=9x-3  solve for x

6x=8   x=8/6=4/3     so HJ=3x+5=3(4/3)+5=9 = JK   HK=2(9)=18

the full segment HK is 18,  each half of it is 9 =HJ=JK

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