Need to know the following angle

Need To Know The Following Angle

Answers

Answer 1

Given:

[tex]m\angle A=(2x-15)^\circ[/tex]

[tex]m\angle B=(x-5)^\circ[/tex]

[tex]\text{Exterior}\ m\angle C=148^\circ[/tex]

To find:

The [tex]m\angle ABC[/tex].

Solution:

In triangle ABC,

[tex]\text{Exterior}\ m\angle C=m\angle A+m\angle B[/tex]          [Exterior angle theorem]

[tex]148=(2x-15)+(x-5)[/tex]

[tex]148=3x-20[/tex]

[tex]148+20=3x[/tex]

[tex]168=3x[/tex]

Divide both sides by 3.

[tex]\dfrac{168}{3}=x[/tex]

[tex]56=x[/tex]

Now,

[tex]m\angle ABC=(x-5)^\circ[/tex]

[tex]m\angle ABC=(56-5)^\circ[/tex]

[tex]m\angle ABC=51^\circ[/tex]

Therefore, [tex]m\angle ABC=51^\circ[/tex].


Related Questions

5 - ( m - 4 ) = 2m + 3 ( m -1 )

Answers

Answer:

m=2

Step-by-step explanation:

A square of side 72 cm and a rectangle of length 90 cm have same perimeter. Find the difference in areas ?

A)216cm2
B)304cm2
C)324cm2
D)328cm2

Answers

Answer:

324 cm²

Step-by-step explanation:

→ Work out perimeter of square

72 + 72 + 72 + 72 = 288

→ Work out the width of the rectangle

288 - (90 × 2) = 108

108 ÷ 2 = 54

→ Work out area of square

72 × 72 = 5184 cm²

→ Work out area of rectangle

90 × 54 = 4860 cm²

→ Minus the areas from each other

5184 cm² - 4860 cm² = 324 cm²

Answer:

C) 324cm²

Step-by-step explanation:

1) they have the same perimeter so to find it you add all four sides of the square because they are all the same ( 72+72+72+72=288)

2) now you multiply 90 by 2 because the rectanglehas to sides of the same length(90×2=180) the answer you get you are going to subtract to 288 (288-180=108)

3) now divide 108 by 2 (108÷2= 54) the answer you get equals the width of the side of the rectangle

4) to get the area of the rectangle you multiply 54 with 90 (54×90=4,860) to get the area of the square you multiply 72 times 72 (72×72=5,184)

5) now you subtract 5,184 and 4,860 ( 5,184-4,860= 324cm²)

Write the equation of the line with the given slope and y Intercept.
m=0 b = -11

Answers

y=-11 As we input x and y in y=mx+b we know that slope is zero so the x drops therefore -11 remains as y-intercept and its parallel (-11,0)

Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7

Answers

I have no idea math is so freaking hard x

Algebra 1 Honors
BUSINESS a printing press valued at $120,000depreciates 12% per year. What will be the approximate value for the printing press in 7 years?
A. $19,200 B. $265,282 C. $49,041 D. $55,728

Answers

Answer:

19200

brainliest if correct

Explanation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

Evaluate the expression when a=−2 and b=3.
ab=

Answers

Answer:

ab = -2 * 3 = -6

Step-by-step explanation:

What is the constant for 5c2+7d

Answers

Answer:

2

Step-by-step explanation:

5 and 7 are the coefficients if you need them

The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
Solve for m.

Answers

Answer:

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

Step-by-step explanation:

Given the expression

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Solving for 'm'

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Flip the equation

[tex]\frac{k}{2}\left(m+n\right)=A[/tex]

Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]

[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]

Add (-1)/2 × kn to both sides

[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]

simplify

[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]

Divide both sides by k/2

[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]

[tex]m=\frac{2A-kn}{k}[/tex]

Therefore,

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

WILL GIVE BRAINLIEST PLS HELP
Write each of
these ratios in
their simplest form.
A) 3:9 B) 12:36 C) 13:39 D) 71:213
E) 142:213 F)38:57 G) 33:44 H) 31:42

Answers

a) 1:3

b) 1:3

c) 1:3

d) 1:3

e) 2:3

f) 2:3

g) 3:4

h) 31:42

Step-by-step explanation:

3:9=1:3

12:36=1:3

13:39=1:3

71:213=1:3

142:213=2:3

38:57=2:3

33:44=3:4

the simplest form of 31:42 is 31:42 because 31 is prime number so we can't divide it.

what is the value of x? -6x=90
Please show you got the answer

Answers

Answer:

-15

Step-by-step explanation:

-6x = 90

x = 90 ÷ -6

x = -15

Answer:

X = -15

Step-by-step explanation:

90/-6 is equal to -15.

You divide the number from the side with the variable from the other side of the = sign.

Marcus is building a fence around his rectangular backyard. The length of his backyard is
75
3/4

ft, and the width is
81
1/4

ft. If the fence is
3/4

finished, how much fencing is left to complete?

Answers

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer:235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

Which expression uses the greatest common factor and the distributive property to rewrite the sum 45 + 20?

5(9+4)​

9(5)+20

5(11+4)​

4(5+5)

Answers

5(9+4) is the correct answer

Marcos reads 3 1/2 books in 1 3/4 weeks. At this rate, how many books does Marcos read in 1 week

Answers

3.5 books in 1.75 weeks
X books in 1 week
3.5/1.75=2 books

majorly confused about this and how to solve.​

Answers

Answer:

The answer is 59.5

Is this right, if not then what is the equivalent expression of it, please make the answer easy and simple

Answers

Answer:

[tex]\dfrac{6x+2}5}[/tex]

Step-by-step explanation:

The given expression is :

[tex]\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}[/tex]

We need to write the equivalent expression for the above expression.

Taking like terms together,

[tex]=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}[/tex]

So, the equivalent expression is [tex]\dfrac{6x+2}5}[/tex].

help me plz its algebra 1

Answers

Answer:

C. x > -7 and x <= 3

Step-by-step explanation:

-3 < x + 4 <= 7

Subtract 4 from the three expressions.

-7 < x <= 3

-7 < x means x > -7.

Then you have x <= 3.

Answer: C. x > -7 and x <= 3


A basketball player made 44 out of 100 attempted free throws. What percent of free throws was made?

Answers

Answer:he has a 44% free throw rate

Step-by-step explanation:

44% because 44/100 = .44 .44x100 = 44%

a motorboat moves across a lake at a constant speed. when it begins it from the shore. after 9 minitues it is 14 km from the shore. which function decribes the motorboat distance from the shore?
a. y= 4x + 50
b. y= -4x + 50
c. y= 9x + 50
d. y= -9x + 50

Answers

Answer:

Answer:

The function describes the motorboat's distance from the shore  

Step-by-step explanation:

A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore

After 9 minutes, it is 14 km from the shore.

So, rate of change =  

Negative sign shows that there is decrease in distance per minute

The rate of change of distance is 4 km / minutes

General equation : y = mx+c

Where m is the slope and c is the constant

Substitute the values in the equation :

y=-4x+50

Where y is the final distance and x is the minutes

So, Option C is true

Hence The function describes the motorboat's distance from the shore

Step-by-step explanation:

Please help me 19 points for whoever answers number 3

Answers

15%

amount error is guess subtract actual amount 198-172 = 26
26/172 = 0.15
0.15 x100 = 15%
15% the person above is correct

The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find the original number.

Answers

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

X = 8

Original number: 84 Reversed number: 48

Substitute into equation model

48 +2= 84 -34

50 = 50

True!

Which of the following best describes the slope of the line below?

Answers

Answer:

c.positive

Step-by-step explanation:

Which one is correct please hurry..the audio is just reading the question

Answers

Answer:

3/29

Step-by-step explanation:

Step-by-step explanation:

ahsjsjsjajajajjahajaiaiaijzjsbwbw

Does the sum of -21 and 12 equal 0?

Answers

No the sum is -21 is bigger than 12 because

The library is 6 miles east of the city hall. The mall is 10 miles west of the library. How far and in what direction is the mall from the city hall? A. 16 miles west B. 16 miles east C. 4 miles west D. 4 miles east

Answers

Answer:

b

Step-by-step explanation:

Answer:

4 miles west

Step-by-step explanation:

Help please ASAP please I’ll mark you as brainlister

Answers

Answer:

a = 4

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

hypotenuse = a

opposite = 2√3

adjacent = b

theta = 60°

the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a

[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]

[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]

[tex]4 = a[/tex]

[tex]a = 4[/tex]

A standard die is rolled twice find each probability.

Answers

Answer:

1/6

Step-by-step explanation:

Because u have a 1/6 chance of getting any of the numbers

which expression shows the correct way to expand (6x-6)^2?

Answers

Answer:

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Step-by-step explanation:

Even if I don't know the options I can give all the option that will be right for expending this. Just look at each step and see which one is one of the options.

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Write the ratio as a fraction in simplest form.

51:9

Answers

Answer:

The ratio of 51:9 in it's simplest form is 17:3.

HELPPP PLEASE THIS IS DUE IN 20 MINUTES, GIVE ME THE ACTUAL ANSWERS OR ELSE I WILL REPORT

Answers

Answer:

Step-by-step explanation:

1.

2.

3.

Selecting an SUV with a blue exterior?

Answers

Answer:

good choice in vehicle!

Step-by-step explanation:

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