Answers
Hey!
----------------------------------------------------------------
We Know:
m∠AED = 34°
m∠EAD = 112°
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Solution:
You notice 4 small triangles in both triangles. That shows that both triangles are the same.
The angles are the same for m∠BDC and m∠AED.
The angles are the same for m∠ADB and m∠EAD
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Angles:
m∠BDC = 34°
m∠ADB = 112°
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Congruent Angles:
m∠AED ≡ m∠BDC
m∠EAD ≡ m∠ADB
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Hope This Helped! Good Luck!
The measure of the angle ∠BDC is 34.
The measure of the angle ∠ADB is 112.
We have,
In the diagram,
There are two congruent triangles.
ΔAED and ΔBDC
Now,
The congruent angles are:
∠AED = ∠BDC
∠EAD = ∠DBC
∠ADE = ∠BCD
Now,
∠AED = 34
∠EAD = 112
This means,
∠AED = ∠BDC = 34
∠EAD = ∠DBC = 112
And,
The sum of the three angles inside a triangle is always 180.
So,
∠AED +∠EAD + ∠ADE = 180
34 + 112 + ∠ADE = 180
∠ADE = 34
Now,
∠ADE = 34
This means,
∠ADE = ∠BCD = 34
Now,
∠ADE + ∠BDC + ∠ADB = 180
34 + 34 + ∠ADB = 180
∠ADB = 180 - 68
∠ADB = 112
Thus,
The measure of the angle ∠BDC is 34.
The measure of the angle ∠ADB is 112.
Learn more about triangles here:
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Related Questions
Growing up, Joe lived in a small town. When he left for college, the population was 840.
The population has grown by 5% after Joe's first year of college. What is the new
population? Show your work.
Answers
Answer:
the population is 840 initially to which we subtract the 95% that leaves us a total of 42 to which we add the initial amount of population, which would give us as a final result 882
reply:
The total number of people that increased the population was 42 since Joe left, but in total there are 882 people.
What is the solution to the equation? 15= -x/5
A.3
B.75
C.-75
D. -3
Answers
Answer:
C.-75
Step-by-step explanation:
15=-x/5
(15)*(5)=-x
75=-x
x=(-1)*75=-75
X is 2,5,6,9,11 and y is 0,2,46,8 is this a function or a nun function
Answers
Answer:
yes it is a function because none of the x value repeat. If they did repeat, then when plotted on a graph it would not pass the vertical line test.
Step-by-step explanation:
change -2-3 into addition problem
[tex]( - 2 - 3 = [/tex]
Answers
Answer: - (2 + 3) = -5
Step-by-step explanation:
When combining numbers that have the same sign, you add them and then include the sign.
For example:
-2 - 3 = -(2 + 3) = -5
-6 - 5 = -(6 + 5) = -11
-7 - 8 = -(7 + 8) = -15
hope this helped, pls mark as brainliest :)
3x-4 when x = 7 how do I do this equation I’m confused
Answers
3x-4
3(7)-4
21-4
17
Answer:
17.
Step-by-step explanation:
1. Plug in 7 for x.
2. 3(7)-4
3. 3 times 7 is 21.
4. 21 minus 4 is 17.
5. The Answer is 17.
-|7 - 10|
Evaluate the following expression
Answers
|7-10| = 3 (absolute value), then multiply to the negative sign. answer:-3
What is a multiplication expression with a product of 5 to the power of 13
Answers
Answer:
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5
Step-by-step explanation:
9n+27=7n-3
Solving equations- variables on both sides
Answers
Answer:
n=-5
Step-by-step explanation:
Find m2ABC.
(2x)=(5x+5)
OPTIONS
25
60
50
130
Answers
Answer:
130°
Step-by-step explanation:
[2x] + [5x + 5] = 180
7x + 5 = 180
- 5 - 5
_____________
7x = 175
__ ____
7 7
x = 25
[tex]5(25) + 5 = 125 + 5 = 130[/tex]
I am joyous to assist you anytime.
The sum of a number and 9 is 12.
Answers
Answer:
x=3
Step-by-step explanation:
You take 12-9 to get 3 :)
Answer:
[tex]3[/tex]
Step-by-step explanation:
Simple, all you have to do is backwards equation. If the sum is 12. Subtract 12 by one of the numbers given.
[tex]12 - 9[/tex]
[tex]==> 3[/tex]
[tex]3 + 9 = 12[/tex]
What is the midpoint of NH
Answers
Answer:
the answer would be k or -3 hope this helps
Answer: K
Step-by-step explanation:
The answer for this question would be K
Why is 4.13 x 1000 = 4130 and 413,000 ÷100 = 4130 true
Answers
Answer:
Step-by-step explanation:
4.13*1000=4130
Because you move the decimal to the right 3 times'
413000/100=4130
Move the decimal 2 times to the left
The statement [tex]""4.13 x 1000 = 4130[/tex] and [tex]413,000/100 = 4130[/tex]"" is true due to the rules of multiplication and division with powers of ten.
Firstly, when multiplying a number by 10 raised to a power, the decimal point in the number moves to the right as many places as there are zeros in the power of ten. In this case, 4.13 is being multiplied by [tex]10^3[/tex] (which is 1000). The decimal point in 4.13 moves three places to the right, resulting in 4130. This is because [tex]10^3[/tex] means [tex]10 x 10 x 10,[/tex] and each multiplication by 10 moves the decimal point one place to the right.
Secondly, when dividing a number by 10 raised to a power, the decimal point in the number moves to the left as many places as there are zeros in the power of ten. Here, 413,000 is being divided by [tex]10^2[/tex] (which is 100). The decimal point in 413,000 moves two places to the left, resulting in 4130. This is because [tex]10^2[/tex] means [tex]10 x 10[/tex], and each division by 10 moves the decimal point one place to the left.
Therefore, both parts of the statement are true:
- [tex]4.13 multiplied by 10^3 (1000) equals 4130.[/tex]
- [tex]413,000 divided by 10^2 (100) equals 4130.[/tex]
In summary, the operations performed on the numbers are consistent with the rules for manipulating decimal numbers when multiplying or dividing by powers of ten.
A line passes through the point (–3, 4) and its y-intercept is (0, –2). What is the equation of the line that is parallel to the given line and passes through the point (–5, 2)?
Answers
Answer:
y = - 2x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = [tex]\frac{-2-4}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
• Parallel lines have equal slopes, hence slope of parallel line = - 2, thus
y = - 2x + c ← partial equation of parallel line
To find c substitute (- 5, 2) into the partial equation
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = - 2x - 8 ← equation of parallel line
solve the equation for x. Round your answer to the nearest hundredth 8(x-7)=454
Answers
Answer: 63.75 or 225/4
I just did it on an IT Inspired inspired Calculator to solve for X and 63.75
Step-by-step explanation:
8(x - 7) = 454
x - 7 = 454/8
x - 7 = 57
x = 57 + 7
x = 64
Which pair of expressions are equivalent?
6t+5+ 2t and 11t+5
P+3+ 2p and 5t+3
3n+7+n and 4n+ 7
2X+2+7x and 9x+7
Answers
Answer:
3n + 7 + n and 4n + 7
Step-by-step explanation:
Answer:
C. 3n+7+n and 4n+ 7
Step-by-step explanation:
hope this helps! edge2021!
Billy and Maria ordered flyers to advertise the school dance. Flyers cost $8.75 for the
first 50, and $1.50 for each additional 10. The bill was $19.25. How many flyers did
they order?
Answers
Answer:
120
because they got 50 for 8.75 and if you add 1.50 until you get to 19.25 you would get 120
Does the point (-4, 3) fall on the graph of this line? How do you know? Show your work. ( 2 points) PLEASE HELP ILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Since we know the line goes through points [tex](8,9)[/tex] and [tex](2,4)[/tex], we can construct a line in slope-intercept form
[tex]y = mx + b[/tex]
where [tex]m[/tex] is the slope and [tex]b[/tex] is the Y-intercept.
The slope can be found using the two points provided:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]\frac{9 - 4}{8 - 2}[/tex]
[tex]\frac{5}{6}[/tex]
The line is now represented as
[tex]y = \frac{5}{6}x + b[/tex]
To solve for [tex]b[/tex], we can plug in one of the two points:
[tex]y = \frac{5}{6}x + b[/tex]
[tex](9) = \frac{5}{6}(8) + b[/tex]
[tex]4 = \frac{20}{3} + b[/tex]
[tex]b = \frac{-8}{3}[/tex]
We know have our line:
[tex]y = \frac{5}{6}x - \frac{8}{3}[/tex]
To determine if the point [tex](-4, 3)[/tex] falls on this line, we just plug the numbers into the equation and see if it holds true:
[tex]y = \frac{5}{6}x - \frac{8}{3}[/tex]
[tex](3) = \frac{5}{6}(-4) - \frac{8}{3}[/tex]
[tex]3 = \frac{-10}{3} - \frac{8}{3}[/tex]
[tex]3 = \frac{-18}{3}[/tex]
[tex]3 = -6[/tex]
This does not hold true, so the point is not on the line.
What is the range of y= square root x+7+5?
Answers
Answer:
12x
Step-by-step explanation:
7+5+x
7+5=12
12+x=12x
X can be any thing so whatever the two variables are use that to get y
Answer:
The range is y≥ 5
Step-by-step explanation:
I count on equal steps my first number is -2 my fifth number is 26 what’s my third number
Answers
Answer:
12
Step-by-step explanation:
28 / 4 = 7
1) -2
2) -2+7=5
3) 5+7=12
4) 12+7=19
5)19+7=26
When moving in equal steps from -2 to 26 over four steps, each step increases the value by 7. Therefore, after two steps from -2, the third number you reach is 12.
Explanation:The question is about stepping evenly or moving in equal intervals from an initial number. Given that the first number is -2 and the fifth number is 26, we need to determine what the third number would be. Taking -2 being the first and the fifth being 26 means there are 4 steps between them. To find the equal steps between, you need to subtract -2 from 26 and divide by 4 (the steps in between), which gives you 7. This means each step increases the value by 7. Therefore, the first number is -2, the second number is -2+7 = 5, and third number is 5+7=12.
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Use Math Tools Terrell had a chain of
56 paper clips. Some of the paper clips fell off. Now there
are 38 paper clips in the chain. How many fell off?
Brain Builders
9. Li counts 203 stars in the sky. The next night, she counts 178 st
After three nights, she had counted a total of 500 stars. How m
Answers
Answer:
I know only answer for the first one
18 paper clips
Step-by-step explanation:
56 paperclips originally - x paperclips = 38 paperclips
56 - x = 38
+ x + x
56 = 38 + x
- 38 - 38
18 = x
x = 18
1.98x=11.88 what does x equal?
Answers
Answer:
6
Step-by-step explanation:
Look at picture for help solving it.
Figure 1 is reflected over the x-axis and then reflected over the line x = k to produce Figure 2. What is the value of k?
Answers
Answer: try negative three-3 hope this helps you!
Step-by-step explanation:
4−(2x+4)=5
pls help:)
Answers
Answer:
The answer would be -2 1/2
Step-by-step explanation:
anice’s mother gave her a ten dollar bill to buy five pounds each of bananas and apples at the grocery store. When she got there, she found that bananas were 80¢ per pound and apples were $1.40 per pound.
Did Janice’s mother give her enough money? If so, should she receive any change? If not, how much more money does she need?
Answers
Answer:
No, she didn't give her enough money. She needs $1 more.
Step-by-step explanation:
5 pounds of bananas at 80¢ per pound
[tex]5*0.80=$4.00[/tex]
5 pounds of apples at $1.40 per pound
[tex]5*1.40=$7.00[/tex]
$4.00 + $7.00 = $11.00
Subtract Anice's $10 from $11.00
[tex]11-10=1[/tex]
Anice needs $1 more
One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 555, find the numbers..
Answers
Answer:
first = 65
second = 325
Third = 165
Step-by-step explanation:
Let the first number = x
first: x
second: 5x
Third = x + 100
first + second + third = 555
x + 5x + x + 100 = 555 Combine
7x + 100 = 555 Subtract 100 from both sides
7x + 100 - 100 = 555 - 100
7x = 455 Divide by 7
7x/7 = 455/7
x = 65
the answer for 6 + 4 ( 2 + 3 ) 2
Answers
6 + 4 ( 5 ) 2
6 + 20 x 2
40 + 6
46
Answer:
106Step-by-step explanation:
[tex]6+4\cdot(2+3)^2[/tex]
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
[tex]6+4\cdot(2+3)^2\\\\=6+4\cdot(5)^2\\\\=6+4\cdot25\\\\=6+100\\\\=106[/tex]
EF=4x-15,FG=5x+7 and EG=46 find the value of EF
Answers
Rewrite 2x - 2y = 8 in slope-intercept form. A -2y = -2x + 8 B 2x = 2y + 8 C x = y - 4 D y = x - 4
Answers
Answer:
all work is shown and pictured
The slope-intercept equation of line is [tex]y=x+4[/tex]
Slope-intercept form:The slope- intercept equation of line is written as,
[tex]y=mx+c[/tex]
Where m is slope and c is y- intercept of line.
Given equation of line is, [tex]2x-2y=8[/tex]
[tex]2y=2x+8\\\\y=\frac{2x+8}{2}=x+4\\ \\y=x+4[/tex]
The slope-intercept equation of line is [tex]y=x+4[/tex]
Learn more about the equation of line here:
https://brainly.com/question/18831322
Evaluate the expression when m = 6 and n = 31.
Answers
Answer:
7
Step-by-step explanation:
n-4m= 31 - 4(6) = 31 -24 = 7
What is the length of one leg of the triangle?
11 units
11/units
22 units
22/2 units
Answers
Answer:
The length of one leg of the triangle is 22 units
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the length of one leg of the triangle
we know that
In the right isosceles triangle of the figure
The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse
[tex]cos(45\°)=\frac{x}{22\sqrt{2}}[/tex] ---> equation A
[tex]cos(45\°)=\frac{\sqrt{2}}{2}[/tex] ----> equation B
equate equation A and equation B and solve for x
[tex]\frac{x}{22\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]
[tex]x=\frac{\sqrt{2}}{2}(22\sqrt{2})=22\ units[/tex]
therefore
The length of one leg of the triangle is 22 units