find m<YDC
please help!​

Find M&lt;YDC Please Help!

Answers

Answer 1

Answer:

∠YDC measures 140°.

Step-by-step explanation:

We can consider using the Exterior Angle Theorem. According to the theorem, the exterior angle of a triangle is equal to the two opposite interior angles.

In other words:

[tex]\displaystyle m \angle YDC = m\angle DCB + m\angle CBD[/tex]

Substitute:

[tex]\displaystyle (15x + 5) = (80) + (6x+6)[/tex]

Solve for x. Combine like terms:

[tex]15x + 5 = 6x + 86[/tex]

Simplify:

[tex]9x = 81[/tex]

And divide. Hence, the value of x is:

[tex]x = 9[/tex]

∠YDC is given by:

[tex]\displaystyle m\angle YDC = 15x + 5[/tex]

Since we now know the value of x, substitute and evaluate:

[tex]\displaystyle \begin{aligned} m\angle YDC &= 15x + 5 \\ &= 15(9) + 5 \\ &= 135 + 5 \\ &= 140^\circ\end{aligned}[/tex]

In conclusion, ∠YDC measures 140°.


Related Questions

What is the answer to -4x-5x work

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-4x - 5x}[/tex]

[tex]\huge\text{= -4x + (-5x)}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{= (-4x - 5x)}[/tex]

[tex]\huge\text{= -9x}[/tex]

[tex]\huge\boxed{\mathsf{Answer: -9x}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

-9x

Step-by-step explanation:

-4x-5x

Combine like terms

-4x-5x

-9x

help if you can id appreciate it

Answers

Less than 14 means

x < 14

Answer:

A. x < 14

Step-by-step explanation:

'<' = "less than"

'=' = "equal to"

'>' = "greater than"

what is -x when x= -3


( Evaluate the following expression)

\*/ Algebra 1 \*/ [Algebraic Expressions]

Answers

3 because x= -3 and -x is basically - -3 which 2 negatives make a positive

measure at least pairs of corresponding angles in XJYN and ZSCH using a protractor. Record your measurements to the nearest 5. what do you notice?

Answers

Answer:

any file to have a reference?

Please send me an answer sheet for this paper.​

Answers

Answer:

Q.1. x=8-5

x=3

Q.2. -3x=16-7

-3x=9

x=-9/3

x=-6

Q.3. 3p=6*7

3p=42

p=42/3

p=16

Q.4. 2(x+5)=24

2x+10=24

2x=24-10

2x=14

x=14/2

x=7

Step-by-step explanation:

For Q1.

1. x + 5 = 8

x = 8 - 5

x = 3

2. -3x + 7 = 16

-3x = 16 - 7

-3x = 9

x = 9/-3

x = -3

3. 3P/7 = 6

3P = 6*7

3P = 42

P = 42/3

P = 14

4. 2(x + 5) = 24

2x + 10 = 24

2x = 24 - 10

x = 14/2

x = 7

5. x/5 - 8 = 9

x/5 = 9 - 8

x = 5

For Q.2:

1. 12 + 4(x + 3(x + 4)) = 108

12 + 4(x + 3x + 12) = 108

12 + 4x + 12x + 48 = 108

60 + 16x = 108

6x = 108 - 60

x = 48/6

x = 8

2. 5x + 7(4 - (x + 3)) = 31

5x + 28 - x + 3 = 31

6x + 31 = 31

6x = 0

x = 0

3. 2(3y - 2(y + 5) + 3) = -4

2(3y - 2y + 10 + 3) = -4

2(y + 13) = -4

2y + 26 = -4

2y = 30

y = 15

4. 20 - 2(2x -(2 - x) + 10) = -44

20 - 2(2x - 2 + x + 10) = -44

20 - 2(3x + 8) = -44

20 - 6x - 16 = -44

4 - 6x = -44

-6x = -44 - 4

-6x = -48

x = -48/-6

x = 8

5. 5(3x - 4(x + 2) + 5(2x + 1)) = 60

5(3x - 4x - 8 + 10x + 5) = 60

5(3x - 4x + 10x - 8 + 5) = 60

5(9x - 3) = 60

45x -15 = 60

45x = 60 + 15

x = 75/45

x = 1.67

For Q.3:

1. x/2 + x/3 = 10

(3x + 2x)/6 = 10

5x/6 = 10

5x = 60

x = 12

2. 1/3(2x/7 - 1) = 3

1/3(2x - 7/7) = 3

2x - 7/7 = 3/(1/3)

2x - 7/7 = 1

2x - 7 = 7

2x = 14

x = 7

3. (P + 2/2) + ( 2P - 6/4) = 5

(2P + 4 + 2P - 6)/4 = 5

(4P - 2)/4 = 5

4P - 2 = 20

4P = 22

P = 5.5

4. x/3 - (2x + 1)/3 - (x - 3)/5

(x - 2x + 1)/3 - (x - 3)/5

(1 - x)/3 - (x - 3)/5

(5 - 5x - 3x - 9)/15

(-8x - 4)/15

5. (y - 2)/3 + (2y + 5)/5 - (y + 7)/3

5/3 + (2y + 5)/5

(25 + 6y + 15)/15

(40 + 6y)/15

prove this question
please​

Answers

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]cos^{4}[/tex]A + [tex]sin^{4}[/tex]A - 2cos²Asin²A ← is the expansion of

= (cos²A - sin²A)²

Substitute sin²A = 1 - cos²A

= (cos²A - (1 - cos²A) )²

= (cos²A - 1 + cos²A)²

= (2cos²A - 1 )²

= right side , then proven

Show your work:
(5n^4 - 2n²) – (4n² + 4n^4) + (3n² + 2n^4)​

Answers

5n^4-2n^2-4n^2-4n^4+3n^2+2n^4
Collect terms
3n^4-3n^2

Answer:

3[tex]n^{4}[/tex] - 3n²

Step-by-step explanation:

(5[tex]n^{4}[/tex] - 2n²) - (4n² + 4[tex]n^{4}[/tex]) + (3n² + 2[tex]n^{4}[/tex])

Remove parenthesis, distributing the second one by - 1

= 5[tex]n^{4}[/tex] - 2n² - 4n² - 4[tex]n^{4}[/tex] + 3n² + 2[tex]n^{4}[/tex] ← collect like terms

= (5 - 4 + 2)[tex]n^{4}[/tex] + (- 2 - 4 + 3)n²

= 3[tex]n^{4}[/tex] + (- 3)n²

= 3[tex]n^{4}[/tex] - 3n²

Help asapShape A is congruent to shape ____because a 180° rotation about the origin and then a translation unit(s) right maps shape A onto it.
Shape B is congruent to shape____ because a 90° clockwise rotation about the origin and then a translation unit(s) left maps shape B onto it.

Answers

Answer:

Shape A is congruent to shape D and has been translated 2 units to the right

Shape B is congruent to shape E and translated 1 unit to the left.

Step-by-step explanation:

Shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The shapes are given in the picture.

From the definition of congruency; congruent figures are those that are exactly the same size and shape. Congruent is represented by the symbol .

Form A has been translated into two units to the right and is congruent with shape D.

Form B is translated one unit to the left and congruent to shape E.

Thus, shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

The ratio of boys to girls in a college marching band is 5:6. If there are 121 total students in this band, how many boys are in the band?

Answers

Answer:

Step-by-step explanation:

The ratio of boys to girls in the band is 5:6 and there are a total of 121 people.

We can call each bit of the ratio 'parts'.

So, there are a total of 5+6=11 parts in total, and there are a total of 121 people.

Therefore, each part of the ratio is equal to 121 ÷ 11 = 11.

Since there are 5 parts assigned to the number of boys in the band, then the total number of boys in the band is equal to 11 × 5, which is equal to 55 boys.

How would I get the answers to 9-14?

Answers

Answer:

9.  38

10.  19

11.  91

12.  89

13.  110

14. 109

Step-by-step explanation:

A line (PT) is always a total of 180 degrees and QVR = RVS (given) so let x = QVR then

PVQ + QVR + RVS + SVT = 180

72 + x + x + 70 = 180

72 + 2x + 70 = 180

2x = 180 - 72 - 70

2x = 180 - 142

2x = 38

x = 19

so

9. QVS = QVR + RVS = 2x = 19 + 19 = 38

10. QVR = x = 19

11. PVR = PVQ + QVR = 72 + 19 = 91

12. TVR = TVS + SVR = 70 + 19 = 89

13. PVS = PVQ + QVR + RVS = 72 + 19 + 19 = 110

14. TVQ = TVS + SVR + RVQ = 70 + 19 + 19 = 109

ALGEBRA 1 MATH PLEASE HELP !!!

Answers

Answer:

|x + 2|

Step-by-step explanation:

Translating to the left and right has the number on the inside with the variable. Adding goes left and subtracting goes right.

(if you want an explanation on why it's opposite like that then just comment)

8x-4(x-3)-3(2x+5)-6

Answers

Answer:

8x - 4x + 12 - 6x - 15 - 6

Combine like terms

-2x - 9

If your equation is equal to zero then continue down.

-2x - 9 = 0

-2x = 9

x = -9/2

  = -4  1/2

kendra revived a bonus that was 30%of her monthly earnings is her monthly earnings were 930 how much was kendras bonus

Answers

Hey there! I'm happy to help!

30% is the same thing as 0.3 because 0.3 is 30% of 1. If you multiply something by 1, it will just stay the same, so you need that percent of 1.

To convert a decimal to a percent, you move the decimal to the left two spaces.

Now, we simply multiply this by 930.

0.3×930=279

So, Kendra will receive a bonus of $279.

Have a wonderful day and keep on learning! :D

the solution for 3x-5=2x+3-(x-4)​

Answers

Answer:

3x-5=2x+3-(x-4)

first deal with the bracket first. multiply -1 by x and -4.

3x-5=2x+3-x+4

group like terms that is sort them according to the letters.

3x+x-2x=3+4+5

4x-2x=12

2x=12.divide both sides by 2.

2x=12

2 2

x=6

HELP ME PLEASE ASAP!​

Answers

Answer:

second option

Step-by-step explanation:

Pythagoras for right-angled triangles :

c² = a² + b²

c is the Hypotenuse, the line opposite of the 90 degree angle.

a and b are the other 2 sides.

the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.

so, we have (-2, -3) and (3, 2)

distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =

= (-5)² + (-5)² = 25 + 25 = 2×25 = 50

distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)

Function n represents a cubic function that passes through the points (-1,0) and (0,2).
Which statement is true?

Answers

Answer: B

Step-by-step explanation:

y-intercept of m is -6

y-intercept of n is 2

Since -6 < 2:

A: false

B: true

C: false

D: false

Joy drinks 4 bottles of water per day. Each bottle contains
16.5 fluid ounces. How many fluid ounces of water does
she drink per day?
a) 66 fluid ounces
b) 68 fluid ounces
c) 660 fluid ounces
d) 680 fluid ounces

Answers

Answer:

A) 66

Step-by-step explanation:

I have no explanation to this but hope it's help

Answer:

a) 66 fluid ounces

Step-by-step explanation:

it's easy

all you have to do is multiply the amount of bottles Joy drinks in a day (in this case 4) with the amount of fluid ounces contained in each bottle she's drinking (in this case 16.5)

so in other words

4 x 16.5 = 66

No. of acute angles in the given figure:_____

Answers

Answer:

looks like there's 5

Step-by-step explanation:

acute angles are under 90°

obtuse are over 90°

right angles are 90°

If f(x)= 3^x, prove that f(x) + f (x + 1)= 4 f (x) (3 marks)

Answers

Answer:

4 f(x)

Step-by-step explanation:

step by step explainantion is in picture below

make a factor tree for 24

Answers

24 = 2 x 12, 24 = 8 x 3, 24 = 6 x 4, draw factor trees that all show 24 = 2 x 2 x 2 x 3 at the end.

Pls give me a brainliest if this helped thx

Step-by-step explanation:

24

^

2 12

^

2 6

^

3 3

^

3 1

Therefore its 2,2,3,3

-3/10q - 8/5q + 9 = 10

Solve for q

Answers

Answer:

-1 9/10

Step-by-step explanation:

-3/10q - 8/5q + 9 = 10

-3/10q - 16/10q + 9 = 10

-19/10q + 9 = 10

-19/10q = 1

-19 = 10q

-19/10 = 10q/10

-1  9/10 = q

What is the product?
-1

Answers

Answer:

3.(-2/0) this is your answer

raise the quotient of r and 6 to the 3rd power!!!!!!!!! IF YOU HELP RIGHT AWAY YOU GET A BRAINLY THIS IS 7th GRADE!!!!!!!

Answers

r/6^3 is the answer lol
Answer:  (r/6)^3

Explanation:

The expression r/6 is the quotient of r and 6. The quotient is the result of a division problem. For example, the quotient of 100 and 25 is 4 because 100/25 = 4.

We'll then raise r/6 to the 3rd power to get the final answer (r/6)^3

We could rewrite it in its equivalent form (r/6)^3 = (r^3)/(6^3) = (r^3)/216, but the answer in bold is sufficient in my opinion.

The diameter of a cylindrical propane tank is 6 feet the total volume is 989.9 cubic feet find the length of the tank

Answers

→20 lb tank: 18” tall and 12” in diameter. Holds 5 gallons of propane. ...

→33 lb tank: 2 feet tall and 1 foot in diameter. Holds 8 gallons of propane. ...

→100 lb tank: 4 feet tall and 18” diameter. ...

→420 lb tank: 4 feet tall by 3 feet diameter. ...

→500 gallon tank: 5 feet tall by 10 feet long.

Hope this helps ^_^  

A swimmer wins the 50-yard freestyle with a time of 24.76 seconds. Find the swimmer’s average speed to the nearest hundredth of a yard per second.

Answers

Answer:

2.02 yards per second

Step-by-step explanation:

Distance/time= Average speed or speed

50yard/ 24.76sec=  2.01938 yards per second ~ 2.02 yards per second

Given the points X(-9, 2) and Y(5, -4), find the length of XYXY. Round to the nearest hundredth.

Answers

Answer:

15.23

Step-by-step explanation:

the length of XY =√(5+9)²+(-4-2)²

=√14²+(-6)²

=√196+36

=√232

= 15.23

X(-9,2) Y(5,-4)

[tex]\\ \rm\longmapsto XY=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{(5+9)^2+(-4-2)^2}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{(14)^2+(-6)^2}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{196+36}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{232}[/tex]

[tex]\\ \rm\longmapsto XY=15.2[/tex]

There are 75 boys, 60 girls and 15 teachers at a kindergarten.
What is the simplest ratio of boys to girls to teachers?

Answers

Answer:

boys:girls:teachers

5      :    4        :1

Step-by-step explanation:

75 boys, 60 girls and 15 teachers

boys:girls:teachers

75     : 60  :15

Divide each  term by 15

75 /15 : 60/15  :15/15

5      :    4        :1

Rebecca bought a square rug for her office. If the area of the rug is 65ft estimate the side length of the rug to the nearest tenth.

Answers

Answer:16.3 ft

Step-by-step explanation:

The estimated value of the side length of the square rug is : 8.062 feets

Given that the area of the square rug = 65 ft²

Recall :

Area of a square = s²

Where, s = side length

Therefore,

Area of rug = s²

65 ft² = s²

65 = s²

Square both sides

√65 = s

8.062 = s

The estimated side length of the rug is 8.062 feets.

Learn more : https://brainly.com/question/1658516?referrer=searchResults

The solution set for -18 < 5x - 3 is _____. 3 > x -3 > x 3 < x -3 < x

Answers

Answer:

x < -3.

x is less than negative 3

Step-by-step explanation:

-18 < 5x - 3

-18 + 3 < 5x (- 3 + 3)

-15 < 5x

-15/5 < 5x/5

-3 > x

x < -3

What is 30% of $37.50

Answers

answer is
11.25 US $
9.225 is the exact answer . If the directions say to round to nearest 100 than 9.23
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