You want to build this bookshelf. Given that a∥ b and m∠3=x and m∠2=x+30. Find the measure of ∠4, ∠5, and ∠6
m<4= ___ Degrees
m<5= ___ Degrees
m<6= ___ Degrees
Answers
Answer:
[tex]\huge\boxed{m \angle 4 = 105 \textdegree}[/tex]
[tex]\huge\boxed{m \angle 5 = 75 \textdegree}[/tex]
[tex]\huge\boxed{m \angle 6 = 105 \textdegree}[/tex]
Step-by-step explanation:
We can use basic angle relationships to find the measures of m∠4, m∠5, and m∠6.
We know that angles m∠3 and m∠2 are supplementary. This means their angle lengths add up to 180°. Since we know the expression for both, we can add them and solve for x.
[tex](x) + (x+30)=180[/tex] [tex]2x+30=180[/tex] [tex]2x=150[/tex] [tex]x = 75[/tex]So x = 75°, aka m∠3 is 75°. This means m∠2 is going to be [tex]75+30=105[/tex]°.
m∠4 is an opposite angle to m∠2. This means their angle lengths are the same. Therefore, m∠4 is 105°.
We also know that m∠3 and m∠5 are alternate interior angles, meaning their angle lengths are the same. Since m∠3 is 75°, m∠5 is also 75°.
We also know that m∠6 is a corresponding angle to m∠2. This means their angle lengths are the same. Since m∠2 is 105°, m∠6 is also 105°.
Hope this helped!
Related Questions
3) This is one term that is expressed as a real number, a variable, a product, or quotient of a variable and real number.
Answers
Answer:
Your answer: Monomial
A monomial has one term that is expressed as a real number, a variable, a product, or quotient of a variable and real number.
Step-by-step explanation:
Hope this helped : )
PLEASE HELP, ASAP!!! I WILL GIVE A THANKS, 5-STAR RATING, AND BRAINLIEST!!!
*Also, please include the coordinates of the new line and fill the blanks*
*Problems 5 through 12, do them all*
Answers
I forgot the pic, but somebody help me
Answers
Answer:
1) The value of x is:
2) The degree for angle 1 is: 59°
3) The degree for Angle 2 is: 121°
Step-by-step explanation:
First we must find x, to do that we must find out what we are given:
m<1 = (2x + 23)°
m<2 = (7x - 5)°
Now we must see if there is any info that can help us find the angles:
Angle 1 and 2 are supplementary.
The word 'supplementary' is very important as it can help us evalute how to set up our problem.
Supplementary means the sum of 2 angles that create a 180°
So our measures will = 180°
(2x + 23) + (7x - 5) = 180°
Now we must try and find the value of x:
1) Remove the parenthesis, and combine like terms:
2x + 7x + 23 - 5 = 180°
9x + 18° = 180°
- 18° = -18°
---------------------
9x = 162°
2) Divide both sides by 2 in order to get 'x' value by itself:
[tex]\frac{9x}{9}=\frac{162}{9}[/tex]
[tex]x=18[/tex]
Your value of x is 18.
Now you must substitue the value of x into you measures, to get your angles:
(2x + 23)°
2(18) + 23
36 + 23
= 59°
(7x - 5)°
7(18) - 5
126 - 5
= 121°
Is this statement true? Let's find out!
121° + 59° = ?
= 180°
It is true.
If granola costs $2.20 per pound, how much does 0.8 pound of granola cost?
$1.40
$1.76
$2.28
$2.75
Answers
Answer:
$1.76
Step-by-step explanation:
when you multiply 2.20x 0.8 you get 1.76. at first I thought division was needed, but the answer to 2.20/0.8 is 2.75- which is more than the original cost. (sorry if this is confusing but) 0.8 pound is less than 1 pound, so the answer would need to be less than 2.20.
8 hundred + 10 tens+0 ones
.........
Answers
Answer:
it's 900
Step-by-step explanation
HELP ME WITH THIS AND ILL GIVE YOU BRAINLIEST AND 5 STARS AND 2$ ON CASHAPP *CRIES*
Answers
Answer:
B
Step-by-step explanation:
8x10 = 80
1x1/10 = 0.1
6x1/1000= 0.006
add it all together and get 80.106
Hello.
The answer here is choice B. (8 x 10) + (1 x 1/10) + (6 x 1/1000)
Explanation:
To figure it out, answer each problem.
8 * 10 = 80
1 x 1/10 = 0.1
6 x 1/1000 = 0.006
All of these added together is 80.106
Please explain your reasoning
Answers
Answer:
0.13
Step-by-step explanation:
Answer:
352 yds/min
Step-by-step explanation:
Hope this helps! Please consider making me brainliest!
Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.
-x^2 = -36
Answers
Answer:I think it is 18
Step-by-step explanation:
Beacause 2x18+36
PLEASE HELP WILL REWARD 43 POINTS
Find the measures of the complementary angles that satisfy each case:
The measure of the first angle is 40° less than the measure of the second.
Answers
Answer:
first - 25 degrees, second - 65 degrees
Step-by-step explanation:
Is the ratio 4.2 : 1.5 proportional to the ratio 12.6 : 4.5? Explain
Answers
A line is represented by the equation y=x-7. What is the y-intercept of the line?
Answers
Answer: -7
In the slope-intercept format y = mx+b, b is always the y-intercept. If it is with a positive sign, the y-intercept is positive and if it is negative then the y-intercept is negative.
An architect built a scale model of a sports stadium using a scale in which 3 inches represents 25 feet. The height of the sports stadium is 230 feet. What is the height of the scale model in inches?
Answers
Answer:
9 is the height of the scale model in inches.
Step-by-step explanation:
230/25 = 9
A teenager ate 2/9 of a pizza in 5/18 of an hour. If the teenager ate at a constant rate, how long will it take for the teen to eat a whole pizza?
Answers
Answer:
It would take 1.25 hours,
Step-by-step explanation:
if you multiple 2/9 by 4.5 you will get 9 so you need to do the same for 5 which gives you 22.5 which divided by 18 gives you 1.25
bowl contains candies of the same size in three flavors: orange, strawberry, and pineapple. If the probability of randomly pulling out an orange candy is fraction 1 over 9 , and the probability of randomly pulling out a strawberry candy is fraction 2 over 9 , what is the probability of randomly pulling out a pineapple candy? (5 points)
Group of answer choices
fraction 3 over 9
fraction 2 over 9
fraction 6 over 9
fraction 5 over 9
Answers
Answer:
5 to 9
Step-by-step explanation:
Answer:
To find this add 3 and 1 together. This gives you 4. Then, you subtract 4 from 9. The answer is 5. Therefore, the probability to pull out a pineapple candy would be 5/9.
S
What do you think of my doggo (sorry for bad lighting lol)
Answers
Answer:
I SEE... I SEE
Answer:
I believe it's a winsome pet
Step-by-step explanation:
5 stars
brown rat and opossum
hamster and lemming
opossum and prairie dog
Determine if each pair of animals has the same ratio of body length to tail length. Explain your reasoning.
Answers
Answer:
Hamster and lemming has about the same body to tail ratio. Since, their body to tail ratios is about 20%. However opossum and prairie dog do not at all. The opossum is about 73.47% and the prairie dog is about 14.29%.
Step-by-step explanation:
Answer:
Hamster and lemming have the same ratio of 1/5 and the others are unequal.
Solve for c ) if you could help I would appreciate
Answers
Answer:
3
Step-by-step explanation:
Find the coordinates of the image of J(8,7) after a reflection over the x-axis.
Answers
Answer:(8,-7)
Step-by-step explanati
If the measure of <3 is 117 degrees, what is the measure of <7?
Answers
Answer:
117
Step-by-step explanation:
The answer is 117 because angle 3 and 7 are corresponding so they have the same measure
Hope this helps dude ^-^
Answer: the measure of <7= 117
Step-by-step explanation: they zig zag so angle of 2,3,6 and 7 equal 117
while 1,4,5 and 8 equal 63( you can get 63 by doing 180-117) all angles side by side equal 180, so for example <1 and <2 equal 180, <3 and <4 equal 180.
(Score for Question 1: ___ of 6 points)
1. Explain whether each following example is proportional or non-proportional.
(a)
(b)
(c) A gallon of milk costs $1.99. A half-gallon of milk costs $3.89.
(d)
x y
2 13
3 19.5
4 26
5 32.5
Answer:
Answers
5555.555550006874
Step-by-step explanation:
Answer the area of the trapezoid
Answers
Answer:
8700 meters
Step-by-step explanation:
Find the height of a triangle that has an area of 18 in.² and a base of 9in.
PLZ SHOW STEP AND STEP CUZ I NEED TO SHOW MY WORK
Answers
Answer:
The height of the triangle is 4 in.
Step-by-step explanation:
Formula= a=1/2bh
Subsitute= 18 in^2=1/2(9)h
Multiply= (9)1/2= 4.5 in.
Divide 18/4.5= 4 in.
So the height would be 4 in.
Check If you aren't sure.
a=1/2bh
a=1/2(9)(4)
a=1/2(36)
a=18 in^2
Answer:
The height of the triangle is 4 in.
Step-by-step explanation:
Formula= a=1/2bh
Subsitute= 18 in^2=1/2(9)h
Multiply= (9)1/2= 4.5 in.
Divide 18/4.5= 4 in.
So the height would be 4 in.
Check If you aren't sure.
a=1/2bh
a=1/2(9)(4)
a=1/2(36)
a=18 in^2
please help me i hate graughs
Answers
Answer:
C. y = 3x - 4
3x+8(2x - 6) = 2 + 14x
Answers
Answer:
x=10
Step-by-step explanation:
Simplifying 3x + 8(2x + -6) = 2 + 14x
Reorder the terms: 3x + 8(-6 + 2x) = 2 + 14x 3x + (-6 * 8 + 2x * 8) = 2 + 14x 3x + (-48 + 16x) = 2 + 14x
Reorder the terms: -48 + 3x + 16x = 2 + 14x
Combine like terms: 3x + 16x = 19x -48 + 19x = 2 + 14x
Solving -48 + 19x = 2 + 14x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14x' to each side of the equation. -48 + 19x + -14x = 2 + 14x + -14x Combine like terms: 19x + -14x = 5x -48 + 5x = 2 + 14x + -14x
Combine like terms: 14x + -14x = 0 -48 + 5x = 2 + 0 -48 + 5x = 2
Add '48' to each side of the equation. -48 + 48 + 5x = 2 + 48
Combine like terms: -48 + 48 = 0 0 + 5x = 2 + 48 5x = 2 + 48
Combine like terms: 2 + 48 = 50 5x = 50
Divide each side by '5'. x = 10
Simplifying x = 10
Keira divided 123.52 by 3.2 and got 38.6. Without using a calculator, how could she check to determine if her answer is reasonable?
NO SAMPLE RESPONSE FROM EDGINUTY
Answers
The solution to the quotient of 123.52 by 3.2 is 38.6
Decimals and fractionsGiven the expression solved by Keira as;
123.52/3.2
Convert the decimals to fractions
123.52 = 12352/100
3.2 = 32/10
Substitute
123.52/3.2 = 12352/100÷ 32/10
123.52/3.2 = 12352/100 × 10/32
123.52/3.2 = 12352/320
123.52/3.2 = 38.6
Hence the solution to the quotient of 123.52 by 3.2 is 38.6
Learn more on division here: https://brainly.com/question/4721701
#SPJ6
HELP!! THE QUESTION IS IN THE PHOTO!!!
Which one is the correct answer or are both of them right?
Answers
I WILL GIVE YOU BRAINLIEST IF YOU HELP!!!!!!
Multiplying more than on rational number 7th grade math
[tex]-\frac{1}{8}
Answers
Answer: 1:8 or you can write it 1/8 or even like 1 over 8
Step-by-step explanation:
PLZ BRAINLIEST I ONLY NEED ONE MORE TO UPGRADE
Susan is making sandwiches for a picnic. She needs 1.2 pounds of ham, 1.5 pounds of bologna, and 2 pounds of cheese. How much will she spend in all?
Show all your work.
Ham cost 3.40 per pound
Bologna cost 2.90 per pound
Cheese cost 4.99 per pound
Answers
Answer:
need points
Step-by-step explanation:
need points
Which expression of signed decimal numbers has a positive quotient?
2.5 divided by negative 9.56
Negative 1.7 divided by negative 10.06
Negative 0.3 divided by 9.44
Negative 9.34 divided by 0.55
Answers
Answer:
Negative 1.7 divided by negative 10.06
Step-by-step explanation:
Follow the rule:
A positive divided by a positive is a positive
A negative divided by a positive is a negative
A negative divided by a negative is a negative
Hope this helps!!!
Answer:
(B)
Step-by-step explanation:
If b = 3, then b -2 is equivalent to _____.
a. -6
b. 1/9
c. 9
d. -9
Answers
Wherever you see 'b', replace it with 3, since b = 3
So,
b^(-2) = 1/(b^2)
b^(-2) = 1/(3^2)
b^(-2) = 1/9