In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle

Answers

Answer 1

Answer:

[tex]B = 108[/tex]

[tex]C = 36[/tex]

[tex]D = 36[/tex]

Step-by-step explanation:

Given

[tex]B =13x - 35[/tex]

[tex]C = 5x - 19[/tex]

[tex]D=2x+14[/tex]

[tex]BC = BD[/tex]

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

[tex]B + C + D = 180[/tex]

Since [tex]BC = BD[/tex], then [tex]C = D[/tex]

[tex]B + C + D = 180[/tex] can then be rewritten as:

[tex]B + C + C = 180[/tex]

[tex]B + 2C = 180[/tex]

Substitute values for B and C

[tex]13x - 35 + 2(5x - 19) = 180[/tex]

Open Bracket

[tex]13x - 35 + 10x - 38 = 180[/tex]

Collect Like Terms

[tex]13x + 10x = 180 + 38 + 35[/tex]

[tex]23x= 253[/tex]

Divide both sides by 23

[tex]x = 11[/tex]

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

[tex]B =13x - 35[/tex]

[tex]B = 13 * 11 - 35[/tex]

[tex]B = 108[/tex]

[tex]C = 5x - 19[/tex]

[tex]C = 5 * 11 - 19[/tex]

[tex]C = 36[/tex]

[tex]D=2x+14[/tex]

[tex]D = 2 * 11 + 14[/tex]

[tex]D = 36[/tex]

Answer 2

The measure of m<B, m<C and m<D are 108, 36 and 46 respectively

What are triangles?

From the triangle BCD, if BC=BD, then

m<C = m<D (Base angles are equal)

Given the following paramters:

m<C = 5x-19m<D = 2x + 14

Hence;

5x - 19 =2x + 14

5x- 2x = 14 + 19

3x = 33

x = 11

m<B = 13x - 35

m<B = 13(11) - 35

m<B = 108 degres

m<C = 5x - 19

m<C = 55- 19

m<C = 36

m<D = 180 - 144

m<D = 36 degreees

Hence the measure of m<B, m<C and m<D are 108, 36 and 46 respectively

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Related Questions

For each triangle, check all that apply.
PHOTO ABOVE
⚠️TEST

Answers

Answer:

Step-by-step explanation:

Triangle A - Equilateral triangle because all the angles are equal which means all the sides will be equal.

Triangle B - Isosceles Triangle because 2 sides are equal (we know this because 2 of the angles are equal)

Triangle C - Equilateral triangle because all the sides are equal.

Triangle D - Scalene triangle because all the sides have different lengths.

Stephanie wants to find out how much a visit to an amusement park will cost her. The amusement park charges a $20 admission fee, as well as SO 50 for each nder. The expression 0.50r + 20 represents this situation Evaluate this expression when r = 15 Explain what this value means in terms of the context of Stephanie's visit to the amusement park​

Answers

Answer:

Step-by-step explanation:I didn't mean to add

Answer:

$27.50 is the amount of money in total she has to pay.

Step-by-step explanation:

$27.50 means the amount of money total she has to pay for admission fee as well as for each nder.

In ATUV, Y is the centroid.
If YU = 9 then what is ZY and ZU

Answers

Answer:

I need more information.... ??

Step-by-step explanation:

If YU = 9 then what is Zy and ZU

mathematics and social studies and ela and acdemic success and science

Answers

Answer:

is this a question?

Step-by-step explanation:

Answer:

that is a lot of things to be good at

Step-by-step explanation:

The value of (Square root) 13 i is between _____.
A- 2 and 3
B- 5 and 6
C- 4 and 5
D- 3 and 4

Answers

Answer:

D

Step-by-step explanation

on the calculator it's 3.605551275 but rounding it is 4 so it's in between 3 and 4

- 12 x (- 8)

plz help ASAP

Answers

Answer:

Its 96 hope it helped :)

Step-by-step explanation:

Answer:

96x

Step-by-step explanation: (2 negatives make a positive)

1. multiply the common factors first

-12x (-8)

(-12)*(-8) = 96

2. now you bring down the X and multiply X to 96

x(96) = 96x

write the negation of the conclusion of the statement If the game is field hockey, then the game is a team sport.

Answers

Negation in a statement is to make it negative. In this example; ”If the game is field hockey, then the game is a team sport.”
You would change it to ”If the game ISN'T field hockey, then the game MAY NOT be a team sport”

Factor 1.2 out of

1.2x - 7.2

help asap

Answers

Answer: 1.2(x - 6)

Step-by-step explanation:

Because you're factoring out 1.2, you don't need to do anything with 1.2x

Divide -7.2 by 1.2 which is 6.

Put it in your factor equation.

soo uh who's good at math i mean really,if you plz tell me everything about it i just wanna get this over with
(I'm dumb btw)​

Answers

Answer:

Your not dumb you probably just don't learn as fast as other people tell me what u need help on and ill try to explain it to u : )

Step-by-step explanation:

your not dumb lol don’t think like that

y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.

Answers

Answer:

9

Step-by-step explanation:

formula for inverse proportion is y = [tex]\frac{k}{x}[/tex]

k is the constant of probability

to find k,

y is 12, x is 6

12 = [tex]\frac{k}{6}[/tex]

so x = 12 × 6

∴ k is 72

so y = [tex]\frac{72}{8}[/tex]

∴ y is 9

Please gimme an answer ill give thanks, 5 starrs, and Brainliest if I can

Answers

Answer:

The slope is 5/3

Step-by-step explanation:

Slope is y/x so its 5/3 becuase you go up 5 and over 3. And it's an incline so the slope is positive.

Brainly deleted my answer the first time lol. Please mark brainliest if correct.

Need Answer ASAP only 5 min

Answers

70 mb is the answer

Answer: 70

Step-by-step explanation:

1. Divide 528 by 264 to get 2

2. Do 2 times 35 to get 70

?!?!?!djsjsj?!?!?!?djsj

Answers

Hope this helps! As long as you keep posting I’ll keep answering- always happy to help!
Oof I could never learn that stuff

If correct will mark brainliest!!!!

Answers

What's the question--?

Which angles are adjacent angels?

Answers

Answer:

KJL and IJL

Step-by-step explanation:

3. Use your graphing calculator to find the value of f'(0) for f(x) = cos(x) - eX. (4 points)

Answers

Answer:

-1

Step-by-step explanation:

Derivative of cos(x)=-sin(x)

Derivative of e^x=e^x

Derivative of cos(x)-e^x= - sin(x)-e^x

plug in 0 to the spots of x and you will get 1 because sin(0) is 0 e^0 is 1

0-1=-1

Need Answer ASAP I ONLY HAVE 5 min.

Answers

Answer:

B

Step-by-step explanation:

The answer is B since after cross multiplying 150 against all of the fractions you get 25.

Answer:

25

Step-by-step explanation

1/5 of 150 is 30

1/3 of 150 is 50

1/10 of 150 is 45

add all that together and get 125

150-125=25

A spherical hot air balloon has a diameter of 55 feet when the balloon is inflated the radius increases at a rate of 1.5 feet per minute. approximately how long will it take to inflate a balloon 2/3 of its maximum volume? use. 3.14 as pie

Answers

Answer: 46.90mins

Step-by-step explanation:

The given data:

The diameter of the balloon = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.

Solution:

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon

= 4/3 × 3.14 × 55³

= 696556.67 ft³

When the volume 2/3 the maximum volume

= 2/3 × 696556.67 ft³

= 464371.11 ft³

The radius, r₂ at the point is

= 4/3·π·r₂³

= 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4

= 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the

above length

Time taken for the radius to increase the length.

= is 70.369 ft/(1.5 ft/min)

= 46.90 minutes

46.90mins is the time taken to inflate the balloon.

After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?

0.04 percent
2.0 percent
4.0 percent
37.3 percent

Answers

Answer:

0.04

Step-by-step explanation:

1680=1500+1500x3xr

1680-1500=1500x3xr

r=180/4500

r=0.04

Answer:

The answer is 4.0 percent

Step-by-step explanation:

I just answered that question and got it right

find the curved surface area of a cylindrical tank of base radius 30 cm and height 2m

Answers

Answer:

37 700m² (rounded off to 3 s.f.)

Step-by-step explanation:

When the curved surface area of a cylindrical tank is laid out, it will be like a rectangular piece of sheet with the circumference of the base circle as its length and the height as its breadth.

Circumference of base circle with radius 30cm = pi × 30 × 2

                                                                              = 60pi

2m = 200cm

Curved surface are = 60pi × 200

                                 = 12 000pi

                                 = 37 700m² (rounded off to 3 s.f.)

[tex]{\pink{\underline{\textsf{\textbf{Answer : }}}}}[/tex]

➡️ 37,680m² will be the curved surface area of the cylindrical tank.

[tex]{\purple{\underline{\textsf{\textbf{Explanation : }}}}}[/tex]

Given that, A cylindrical tank of base radius is 30cm and it's height is 2m or, 200cm

We need to find the curved surface area

We know that,

➩ Curves surface area of a cylinder = 2πrh

r (radius) = 30cm.

h (height) = 200cm.

Therefore,

➩ Curves surface area of a cylinder:

➩ 2 × 3.14 × 30 × 200

➩ 2 × 18,840

➩ 37,680 m² ans.

Describe the relationship between using the Distributive Property to simplify an expression and to factor an expression. Give an example to justify your answer.

Answers

Answer:

Step-by-step explanation:

To factor a polynomial, first identify the greatest common factor of the monomial terms. Then use the Distributive Property to rewrite the polynomial as the product of the GCF and the other parts of the polynomial. (Remember, the distributive property says that a(b + c) = a • b + a • c.)

To factor a polynomial, first identify the greatest common factor of the monomial terms. Then use the Distributive Property to rewrite the polynomial as the product of the GCF and the other parts of the polynomial

What is Number system?

A number system is defined as a system of writing to express numbers.

The relationship between using the Distributive Property to simplify an expression and to factor an expression is given here.

The distributive property tells that

a(b-c)=ab-ac and a(b+c)=ab+ac

It means you can separate the common term and represent it as the factor.

Example 12x+4y

The factors of 12 are 4,3

The factor of 4 are 1,2,4

The common factor is 4.

12x+4y=4(3x+y)

We taken out the common factor and has distributive property.

Hence To factor a polynomial, first identify the greatest common factor of the monomial terms. Then use the Distributive Property to rewrite the polynomial as the product of the GCF and the other parts of the polynomial

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Ann, Brian and Carol share the cost of a car. Ann pays 25 of the cost, Brian pays 13 and Carol pays the rest.

a) What fraction of the cost does Carol pay?

b) Ann pays $1600 more than Brian. Find the total cost of the car.

Answers

Complete question :

Ann, Brian and Carol share the cost of a car. Ann pays 2/5 of the cost, Brian pays 1/3 and Carol pays the rest.

a) What fraction of the cost does Carol pay?

b) Ann pays $1600 more than Brian. Find the total cost of the car.

Answer:

4/ 15

8000

Step-by-step explanation:

A)

Fraction carol paid :

Total fraction = 1/1

Fraction paid by Ann and Brian = (2/5 +1/3)

(2/5 + 1/3) = (6 + 5) / 15 = 11/15

1 - 11/ 15 = 4/ 15

Ann = 2/5 ; Brian pays 1/3

Ann pay 1600 more than Brian

2/5 - 1/3 = (6 - 5) = 1/5

1/5 of amount = 1600

If :

1/5 = 1600

1 = x

1/5x = 1600

x = 1600 ÷1/5

Total amount = 8000

please help i’m so close to being done :(

Answers

Answer:39 i dont im 12 ps out

Step-by-step explanation:

A. Samantha
B. none
C. Esther
D. Polly​

Answers

C i just need to ask a question so i am typing this

​Gayla draws a rectangle. Jared then draws a different rectangle by increasing both the length and the width by 5%. Lyda draws a third rectangle by increasing both the length and the width of Gayla’s by 5 inches. Are any of the resulting rectangles scale drawings of one another? List whose rectangles, if any, and explain how you know..

Answers

1/2                                                                                      

Step-by-step explanation:

Second rectangle and third rectangle are resulting rectangles scale drawings of one another

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

Gayla draws a rectangle.

Second rectangle:

Jared then draws a different rectangle by increasing both the length and the width by 5%.

Third rectangle:

Lyda draws a third rectangle by increasing both the length and the width of Gayla’s by 5 inches.

Let us assume 1 inches as 1 percentage.

So second rectangle and third rectangle are resulting rectangles scale drawings of one another

Hence,  second rectangle and third rectangle are resulting rectangles scale drawings of one another

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HAIIIIIII PLS HELPPPPPP
dis is confusing -_-
Miguel has $30. He spends $8.00 on a movie ticket, $3.85 for snacks and $1.00 for bus fare each way.

How much money does Miguel have left?
Miguel has_____dollars left

Answers

Answer:

$16.5

Step-by-step explanation:

$30-$8-$3.85-$1-$1 = $16.5

PLEASE HELP ME OML
I HAVE A 13 IN MATH
{WHAT ARE THE ANSWERS TO THE 3 CIRCLED PROBLEMS}

Answers

Answer:

8. Undefined.

9. -3 (Square root of 3)

10. Undefined.

Step-by-step explanation:

For number 8 and 10, you can't take the square root out of a negative number. It's just not possible :)

Answer:

Number 8 is 8.7

Number 9 is -5.2

Number 10 is 8

The cost of fencing a square garden at the rate of Rs.5 per
metre is Rs. 2000. Find the total length of the fence.

Answers

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

Cost per metre = Rs. 5

Total cost = Rs. 2000

Then total length of the fence = Rs.2000/Rs.5

= 400 metre

Total length of the fence = 400 metre

Please help me with this question! :)

Answers

Answer:

Y=2x+3 I think i´m not totally sure

Step-by-step explanation:

2x to the power 2 minus 5x+6 X=-2

Answers

Answer:

=(x-2)(x-3)

Step-by-step explanation:

This is what I got. I hope this can help you.

(X-2)(x-3)
Step by step explanation
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