find m<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

Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,-5) and (8,-8)

Answers

Answer:

4.2

Step-by-step explanation:

d=sqrt[(x1-x2)^2+(y1-y2)^2]

d=sqrt[(5-8)^2+(-5+8)^2]

d=sqrt[(-3)^2+(3)^2]

d=sqrt[9+9]

sqrt18=4.24

Delores works weekends at the local coffee shop. Last weekend, she worked for 7.5 hours on Saturday and 8 hours on Sunday. If she earns $9 per hour, how much did she earn last weekend?

Answers

Answer:

So she earned 148 dollars and 50 cents or 148.5

Step-by-step explanation:

Please help me with A B and C

Answers

Answer:

b)A box from all 4 sides increases as the number increase

c)

Step-by-step explanation:

a+(n-1)d

a-first terms

d- difference

5+(n-1)4

5+4n-4

4n+1(the nth term)

so for 50th

its 4*50+1

Answer is 201 tiles

Hope this helps you :))

HELP!! Use the properties of addition to simplify this expression. 6-8 +6f-2f​

Answers

Answer:

-2 + 4f

Step-by-step explanation:

6 - 8 + 6f - 2f​

2(3 - 4 + 3f -f)     [Distributive Property]

=> 2(-1 + 3f - f)

=> 2(-1 + 2f)

=> -2 + 4f

Answer:

4f-2

Step-by-step explan:

6-8+6f-2f

6-8+4f

4f-2

When is ignorance delightful

Answers

IKWKWMWMWM EXACTLYYYYYY

Answer:

Ignorance, or a lack of knowledge, isn't usually viewed as a good thing. However, there may be situations when you're happier not knowing the truth. A common expression used to describe these situations is “Ignorance is bliss.” This phrase is an idiom, which is means that it isn't meant to be taken literally.

I am super late

PLZ HELPP
Q: Nitrates are organic compounds that are a main ingredient in fertilizers. When those fertilizers run off
into streams, the nitrates can have a toxic effect on
fish. An ecologist studying nitrate pollution in two
streams measures nitrate concentrations at 42 places on Stony Brook and 42 places on Mill Brook. The parallel dotplots display the data.


1. Explain what the dot above 12 in the Stony Brook graph represents.


Answers

By looking at the dot graph, we can see that the single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was 12 mg/L

To understand this, first I want to give a brief explanation of how these graphs work.

You know that the ecologist did study the Nitrate pollution at 42 places in two lakes.

Each of these 42 places is represented with a dot in the corresponding graph.  Now looking at the graph, the position of the dots represents the nitrate concentration (you can see it in the horizontal axis) on one of these 42 places (42 dots for 42 places).

So, having a single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was of 12 mg/L

If you want to learn more, you can read:

https://brainly.com/question/16354226

Easy for smart people

Answers

less than sign and answer A because, on the left you are multiplying 72 by a number less than 1, so the value goes down

Answer:

72 x 3/7 < 72

Step-by-step explanation:

72 x 3/7 = 30 6/7. Therefore 72 is the bigger number.

I hope this helps you out :).

solve |y|+7>18
how do you solve this??

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

Step-by-step explanation:

Please explain why also, thank you :)

Answers

Answer:

decay

Step-by-step explanation:

The function is in the form

y = a (b)^x

a is the initial value and b is the growth or decay factor

When b < 1  it is decay

When b > 1 it is growth

Since b = .93 it is decay

3.3(n-8)-n=1.2

Simplify! ::)

Answers

Answer:

n=12

Step-by-step explanation:

3.3(n-8)-n=1.2

Distribute

3.3n -26.4 -n = 1.2

Combine like terms

2.3n -26.4 = 1.2

Add 26.4 to each side

2.3n -26.4+26.4 = 1.2 +26.4

2.3n = 27.6

Divide each side by 2.3

2.3n/2.3 = 27.6/2.3

n=12

the solution to the equation is n = 12. Let's simplify the given equation step by step: [tex]\(3.3(n - 8) - n = 1.2\)[/tex]

Step 1: Distribute the 3.3 to the terms inside the parentheses:

[tex]\(3.3n - 3.3 \times 8 - n = 1.2\)[/tex]

Step 2: Perform the multiplication:

[tex]\(3.3n - 26.4 - n = 1.2\)[/tex]

Step 3: Combine like terms:

[tex]\(3.3n - n = 1.2 + 26.4\)\\\(2.3n = 27.6\)[/tex]

Step 4: Isolate n by dividing both sides by 2.3:

[tex]\(n = \frac{27.6}{2.3}\)\\\(n = 12\)[/tex]

So, the solution to the equation is n = 12.

To know more about equation:

https://brainly.com/question/8651602

#SPJ3

Help! I’ll give you the brainly answer if you help!

Answers

Answer:

2,78,31,64,4-2,10-6,54,-97,-38,-8-7,-4-5,-11-1,-16

Write the following inequality in slope-intercept form.
10x + y > -1
Write your answer with y first, followed by an inequality symbol. Use integers, proper
fractions, and improper fractions in simplest form.

Answers

Answer:

y > - 10x - 1

Step-by-step explanation:

Given

10x + y > - 1 ( subtract 10x from both sides )

y > - 10x - 1 ← in slope- intercept form

Answer:

y > -10x - 1.

Step-by-step explanation:

10x + y > - 1

Subtract 10x from both sides:

y > -10x - 1.

What time is shown on the clock?


Answers

Answer:

its 12.03

have a great dayy

Answer:

12:40

hope this will help you have a great day

Is the following number rational or irrational?
TV4
Choose 1 answer:
A
Rational
В
Irrational

Answers

Answer:

B irrational :]..............

How can I solve this?

Answers

: 2(2x-7)+2(4x+3)=112

Step-by-step explanation:

Answer: Third Choice. 112 = 2 (2x - 7) + 2 (4x + 3)

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2l + 2w

l = length

w = width

Solve:

Given information

l = 2x - 7

w = 4x + 3

Perimeter = 112 cm

Given expression

Perimeter = 2l + 2w

Substitute values into the expression

[tex]\boxed{112 = 2 (2x - 7) + 2 (4x + 3)}[/tex]

Expand parentheses

112 = 4x - 14 + 8x + 6

Combine like terms

112 = (4x + 8x) + (6 - 14)

112 = 12x - 8

Add 8 on both sides

112 + 8 - 12x - 8 + 8

120 = 12x

Divide 12 on both sides

120 / 12 = 12x / 12

[tex]\boxed{x=10}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Which fractions are equal to 0.375?

Answers

The fraction that is equal to 0.375 is 3/8.

Hope this helps! :)

How does the graph of g(x) = (x + 5)3 - 9 compare to the parent function f(x) = x3?
g(x) is shifted 5 units to the left and 9 units down.
g(x) is shifted 9 units to the left and 5 units down.
g(x) is shifted 5 units to the right and 9 units down.
g(x) is shifted 9 units to the left and 5 units up.

Answers

a

Step-by-step explanation:

five to left and 9 to down

Is the answer A


Hopefully that helps youuu!!

How do you know that the absolute value of -|-9| is equal to -9?

Answers

Step-by-step explanation:

b/c -|9|

first we will out the number from absolut value

then it will give as -9

9. 6(0.4 +0.3) =
I need it now!!!!!
:)

Answers

Answer:

4.2

Step-by-step explanation:

0.4+0.3=0.7

0.7x6=4.2

Answer:

4.2

Step-by-step explanation:

6(0.4+0.3)

=> 6(0.7)

=> 6 x 0.7

=> 4.2

what is the shaded region known as​

Answers

The shaded region of a circle formed by one line as shown in the image is called a segment.

Answer: segment

I need help on this problem

Answers

Answer:

x 1 / 2 / 3 / 4 / 5

y -3 / 3 / 11 / 21 / 33

you can figure this put by just putting the equation above in a calculator and replacing all the x's with numbers and press equal the answer is y

example

1^2 + 3(1) -7 = -3

x= 1

y=-3

and you can use those coordinates to graph them

(1,-3) (2,3) (3,11) (4,21) (5,33) and so on

If f(x) = -6x and g(x) = -6x + 5, find (fog)

Answers

Answer:

Step-by-step explanation:

(f o g) is the same as f(g(x))

f(x) = -6x, substitute x with g(x) = -6x+5

f(g(x)) = -6g(x) = -6(-6x+5) = 36x -30

(f o g) = 36x -30

Simplify 4(2x3 – 5x2 + 8x + 2) - 6x - 8x3

Answers

Answer:

- 20x² + 26x + 8

Step-by-step explanation:

Given

4(2x³ - 5x² + 8x + 2) - 6x - 8x³ ← distribute parenthesis by 4

= 8x³ - 20x² + 32x + 8 - 6x - 8x³ ← collect like terms

= - 20x² + 26x + 8

Find the sum of the finite sequence: 4, 2, 0, –2, – 4.

Answers

Answer:

The answer to this question is0

The answer you’re looking for is 0

please helpppppppppp!!

Answers

Answer:

[tex](w ^{2})^{5} = {w}^{10} [/tex]

I hope I helped you^_^

Answer:

w raised to the power of 10

Step-by-step explanation:

When you have a power raised to a power, you multiply the exponents.

You can check by using a real number for the variable

(2²) raised to the power of 5

4 raised to the power of 5 = 4 x 4 x 4 x 4 x 4 = 1024

5x2 = 10

2 raised to the power of 10 = 1024

Pablo works as a tutor and gets paid 6 an hour complete the table and graph to showthis relationship

Answers

Answer:  Total Pay = 6X

Step-by-step explanation:  This assunes the question wants to know how to calculate Pablo's earning for a given tutoring time.

Pablo's rate is $6/hr.  Set X to the number of hours of tutoring.  Pablo's total pay would be:

Total Pay = 6X

This is line segments

Answers

Answer:

x = 7

Step-by-step explanation:

RT= RS+ST

70 = (7x +2 ) + (2x+5)

70 = 9x + 7

9x= 70 - 7

9x = 63

x= 63/ 9

x = 7

I hope I helped you^_^

Answer:

[tex]given \: that \: total \: length \: rt = 70 \\ \: then \: rs + st = rt \\ 7x + 2 + 2x + 5 = 70 \\ 9x + 7 = 70 \\ 9x = 63 \\ x = \frac{63}{9} \\ x = 7 \\ thank \: you[/tex]

QUICK PLEASE!!!
Consider f(x) Equals StartFraction 8 (x minus 1) Over x squared + 2 x minus 3 EndFraction.

Which statements describe the existence of vertical asymptotes at x = –3 and x = 1?

Answers

Answer:

A

Step-by-step explanation:

edge 2021

Answer:

It is A

Step-by-step explanation:

I got it right on the test Edge 2022.

In algebra - what can the letter "d" represent? For example, what does "d" stand for in this expression "2d + 3"? *

Answers

Answer:

A constant you need to find when given what the equation is equal to.

Answer:

Here, 'd' is the variable of 2.

factor & solve please helppp my brain is mush i don’t remember anything

Answers

This equation uses y and x so it cannot be factorised.

Let’s try the equation y^2 - 12y + 36 = 0

Look for two factors of 36 that add to -12.
This would be -6 and -6

(y - 6)(y - 6) = 0
(y - 6) must equal 0
y = 6
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