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Answer 1
Answer

[tex] m \angle B = 22 \degree[/tex]

Explanation:

Given:

[tex]\sf m \angle A = 120 \\ \sf m\angle B =x \\\sf m \angle C = x+16[/tex]

To find:

[tex]\sf m\angle B \: = ?[/tex]

Solution:

We know that,

sum of all the interior angle of triangle equals 180 degrees.

[tex]\sf m \angle A + m\angle B + m \angle C = 180 \degree \\ \sf 120 + x + x + 16 = 180 \degree \\ \: \sf 2x+136= 180\degree \\ \: \sf 2x=180-136 \\ \:\sf 2x=44 \degree \\ \sf \: x= \frac{44}{2} \\ \:\sf x= 22 \degree[/tex]

Measure of angle B is equal to x hence,

[tex] m \angle B = 22 \degree[/tex]

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Related Questions

Simplify: ^6 square root x times ^4 square root y^3

Answers

The expression [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is an illustration of an algebraic expression

The simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

How to simplify the expression?

The expression is given as:

[tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex]

Rewrite the expressions as exponents

x^1/6 * y^3/4

Multiply the expresions

x^1/6y^3/4

Hence, the simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

Read more about expressions at:

https://brainly.com/question/723406

Answer:

Step-by-step explanation:

edge

4 to the 5th power times 4 to the -7th power divided by 4 to the -2nd power

Answers

Answer:

1

Step-by-step explanation:

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

=1

Hey!

Your answer is 1.

Heres how i got the answer

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

Hope this helps!

last number of 1²+2²+...+2007²

Answers

Answer:

4028054 is the last number when we operate it....

Can someone help me I need this done ASAP like TODAY… I know D. I just dont know A, B, C. Please helppppppppp meeeeeeeeee

Answers

Answer:

Please see explanation

Step-by-step explanation:

base= -3

the exponent is 5

in expanded form -3×-3×-3×-3×-3

evaluation = -3×-3×-3×-3×-3= -243

what can you add to get negative 8 and multiple to get positive 7

Answers

Step-by-step explanation:

-1 and 8 Below we prove the -1 and 8 multiple to -8 and add up to this -1 × 8= -8

Complete the two-way frequency table below, which shows the
distribution of blood types for students in their first year at a local
college.
O AB AB Total
Male (M) 210 17474 42
Female (F)|31526111163
Total
What is P(ABM), and are the events "the student is male" and "the
student has blood type AB" independent events? (7 points)
а
21
; they are independent because P(M N AB) = P(M)
250
· P(AB)
Ob
T!
; they are dependent because P(M NAB) P(M) · P(AB)
5
Ос
21
; they are independent because P(M N AB) = P(M)
625
P(AB)
Od
1
--; they are dependent because P(M N AB) = P(M) · P(AB)
4

Answers

Answer:

a.

Step-by-step explanation:

Probability that is a AB type blood given is a Male

P(AB/M)  = 42/500 = 21/250

Probability that they are Male with an AB type blood out of all AB type blood people = Probability that is a Male out of all students

P(M∩AB) = P(M)  

 (42/105) = (500/1,250)

            .4 = .4 ✅

The events "the student is male" and "the student has blood type AB" are independent events.

can someone help mepleace

Answers

Answer:Click on the file below

Step-by-step explanation:

8th Grade Math!!

find the area of the rectangle.

the area of the rectangle is __ square feet. (simplify your answer)

Answers

Answer:

[tex]48x^{13}\ ft^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

To find the area of the rectangle we just need to do Length * Width which will give us the area in square feet (it really depends on the units that they are giving the L and W in).

[tex](8x^6) * (6x^7)[/tex]

[tex]((8*6)(x^6*x^7))[/tex]

[tex](48*x^{6+7})[/tex]

[tex]48x^{13}[/tex]

Answer:  [tex]48x^{13}\ ft^2[/tex]

Graphing a linear equation of the form y=mx how do I plot y=-2x

Answers

a line through the origin with a slope of -2 (for every 1 unit to the right, move 2 units down)

when plotting, plug in values for x, i would recommend starting with 0, 1, and -1, then find y for each of these x values, then connect the points

A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4cm and a height of 5cm. What is the total area, is square centimeters, of the shape?

Answers

Answer: 120 cm²

Step-by-step explanation:

Let's start by finding the area of one triangle

The formula for finding the area of a triangle is [tex]A=\frac{hb}{2}[/tex]

Where

A is the area

h is the height (5 for this)

and b is the base (4 for this)

Let's sub in our values and solve.

[tex]A=\frac{(5)(4)}{2}\\A=\frac{20}{2}\\A=10[/tex]

Since there are 12 triangles in the shape we must multiply our area for one triangle by 12 to find the total area of the shape

12×10=120

HELP MEEEEE THIS IS DUE IN 2 HOURSSS

Answers

It should and probally is B

Help me for 10 help me please

Answers

what do you need help with

Answer:

Answer:

what do u need help in?


2. Brian thinks that 1.75 x 10-3 is less than 1.25 10-2. Is he correct? Justify your answer.

Answers

Answer:

Yes

Step-by-step explanation:

∠2 and ∠4 are "blank" angles.

Answers

Answer:

angles 4 and 2 are congruent

Step-by-step explanation:

the same

Triangle ABC is a right triangle, and mC is 78°.


What is mA?
A. 2°
B. 12°
C. 22°
D. 32°

Answers

Answer:

[B] 12°

Step-by-step explanation:

Given:

Triangle ABC is a right triangle, and m∠ C is 78°.

Solution:

Knowing that Triangle = 180 degree

Square in a right angle = 90° angle.

Thus,

78+90 =168

180-168 is 12

Hence, the answer is [B] 12 degree

Kavinsky

Answer:

the answer is

Step-by-step explanation:

B

A water balloon is launched in the air from a height of 12 feet and reaches a maximum height of 37 feet after 1.25 seconds. Write an equation to represent the height h of the water balloon at time t seconds. Then, find the height of the balloon at 2 seconds.

Answers

The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the water balloon after t minutes, hence:

h(t) = -16t² + vt + h₀

Where h₀ is the initial height = 12 feet and v is the initial velocity, hence:

h(t) = -16t² + vt + 12

The height of 37 feet after 1.25 seconds, hence:

37 = -16(1.25)² + v(1.25) + 12

v = 40 m/s

h(t) = -16t² + 40t + 12

After 2 seconds:

h(t) = -16(2)² + 40(2) + 12

h(2) = 28 feet

The height of the balloon at 2 seconds is 28 feet

Find out more on equation at: https://brainly.com/question/1214333

Jack went to baseball practice at 5:45 p.m. He returned home at 8:22 p.m. How long was he gone for? SHOW YOUR WORK PLEASE

Answers

Answer:

2 hours and 37 mins

Step-by-step explanation:

you want to get to a full hour so 5:45 closes hour would be 15 minutes later which would be 6:00 and then you add 2 hours which would be 8:00 and you have 22 minutes to get 822 p.m. so you add the minutes together 15 + 22 which you'll get 37 and you'll have the 2 hours on the side so it would be 2 hours and 37 minutes


If you draw out a red marble, keep it, then draw out a
blue marble, is it independent or dependent probability?
Independent

Answers

Answer:

dependent

Step-by-step explanation:

the probability of drawing the blue marble was changed when you drew the red marble and did not put it back

Round 6.385 to the nearest half.

Answers

6.4 is the answer. 6.385 Rounded to the Nearest Tenth
To round 6.385 to the nearest tenth consider the hundredths’ value of 6.385, which is 8 and equal or more than 5. Therefore, the tenths value of 6.385 increases by 1 to 4.
That answer is 6.5
Hope this helps

4. Convert: 32 cups = gallons 10 gallons 3 gallons 2 gallons 1 gallon​

Answers

Answer:

2 gallons

Step-by-step explanation:

:/

please help me with this question

Answers

Ok I’m here what did you need help on

*URGENT* PLEASE HELP

Answers

[tex] \frac{3z}{2} - 5 = 28 \\ [/tex]

[tex] \frac{2}{3} . \frac{3z}{2} = 33. \frac{2}{3} \\ [/tex]

[tex]z = 22[/tex]

Helppppppppppppppppl

Answers

Answer: A

Step-by-step explanation: You're Welcome

Five friends share 4 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?

Answers

each friend gets 4/5 of a bag of trail mix

Help help help math math

Answers

Answer:

-2

Step-by-step explanation:

(-3x/2) - 3 = 3

add 3 to both sides

(-3x/2) = 3

multiply both sides by 2

-3x = 6

divide both sides by -3

x= -2

Carlos ran 3 1/2 miles on Saturday and
2 1/2 miles on Sunday. How many yards
did Carlos run in all? Show your work.

Answers

Answer:

6 yard

Step-by-step explanation:

Since, it given that:

Carlos ran 3 1/2 miles on Saturday and 2 1/2 miles on Sunday.

And asking for how many yards carlos run in all

in all = add

3 1/2 + 2 1/2

Add the whole number

3 + 2 = 5

Since they have the same denominator we can just add them

1/2 + 1/2 = 1 whole

Since it a whole we can add to the whole number

5 + 1 = 6

Thus, Carlos run  6 yards.

Lenvy

Answer:

6 yards

Step-by-step explanation:

To Find:

How many yards did Carlos run in all?

Solution:

In all means addition in this question

Thus,

3 1/2 and 2 1/2

3 1/2 + 2 1/2

we can turn them into improper fraction and then find the answer
3 1/2 = 7/2 and 2 1/2 = 5/2

7/2 + 5/2 = 12/2

12/2 = 6

Hence, Carlos run 6 yards in all

[RevyBreeze]

If a giraffe eats 75 pounds of acacia leaves a day, how many grams would that be?​

Answers

Answer:

34,050 grams

Step-by-step explanation:

To convert pounds to grams, you must multiply the mass (75) by 454.

454 * 75 = 34,050

34,050 grams is equal to 75 pounds.

Hope this helps:)

Divide $3600 among Nancy Beverly and Todd in the ratio 2:3:4?

Answers

Answer:

nancy: $800, beverly: $1200, todd: $1600

Step-by-step explanation:

finding the portion of one part of the ratio:


3600 ÷ 9 = 400 (9 came from 2 + 3 + 4 in the ratio)

Nancy: 2 x 400 = $800

Beverly: 3 x 400 = $1200

Todd: 4 x 400 = $1600

checking the answer:

1600 + 1200 + 800 = 3600

What is the distance between the points(-4,-1) and (-6,8) in simplest radical form.

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-6 - (-4)]^2 + [8 - (-1)]^2}\implies d=\sqrt{(-6+4)^2+(8+1)^2} \\\\\\ d=\sqrt{(-2)^2 + 9^2}\implies d=\sqrt{85}[/tex]


Find the product of the sum of 76 and 13 and the difference of 92 and 49.

Answers

3827

hope it helps...!!!

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