Answers
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
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
Find the sum of the finite sequence: 4, 2, 0, –2, – 4.
Answers
Answer:
The answer to this question is0
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
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]
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
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
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,-16Please 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
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
factor & solve please helppp my brain is mush i don’t remember anything
Answers
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
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
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.
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
Hopefully that helps youuu!!
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
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
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.
Easy for smart people
Answers
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 :).
Is the following number rational or irrational?
TV4
Choose 1 answer:
A
Rational
В
Irrational
Answers
Answer:
B irrational :]..............
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.
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
When is ignorance delightful
Answers
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
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 :))
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:
Which fractions are equal to 0.375?
Answers
The fraction that is equal to 0.375 is 3/8.
Hope this helps! :)
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
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:
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
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
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
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