Answers
Answer:
180°consecutive interior angles are supplementary∠620°, 160°Step-by-step explanation:
The blanks get filled in like this:
Statement 3: m∠6 +m∠4 = 180°
Reason 3: Consecutive interior angles are supplementary
Statement 4: m∠6 +8·m∠6 = 180°
Statement 5: m∠6 = 20°, m∠4 = 160°
_____
You can see from the diagram that angles 4 and 6 are consecutive interior angles. You know the relation between those angles is that they are supplementary. The problem is asking you to state that relationship as Reason 3.
The given relation between the angles, m∠6 = 1/8·m∠4, can be recast as ...
8·m∠6 = m∠4
This is the substitution that is used in statement 4.
Simplifying that statement gives 9·m∠6 = 180° ⇒ m∠6 = 180°/9 = 20°. Then m∠4 = 8·m∠6 = 8·20° = 160°.
Related Questions
Simplify the expression
8h+(−7.3d)−14+5d−3.7h.
Answers
−2.3d+4.3h−14 is the answer .
3.(08.01 MC)
Find the length of the base of a square pyramid If the volume is 48 cubic inches and has a height of 9 inches.
O 4 inches
O 8 inches
O 16 inches
0
24 inches
Answers
Answer:
4 inches
Step-by-step explanation:
The formula is L=√((3×V)/h)
Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for the license plates, and $40 for a state safety and emissions inspection. How does she need to play for these extra charges, not including the price of the car?
Answers
Answer:
999
Step-by-step explanation:
8% of 11,325 is 906
53 plus 40 is 93
906 plus 93 is 999
In 1855, Louis Remme traveled from Sacramento, California, to Portland, Oregon, stopping to rest for only 10
hours of the 143 hours it took him to reach Portland. If his average speed while traveling without resting was 5
miles per hour, how many miles did Louis Remme travel?
A 665
B 705
C 715
D 765
Answers
Answer:
A. 665 milesStep-by-step explanation:
Time in travel:
143 - 10 = 133 hrsAverage speed is 5 mph
Distance travelled:
d = std = 5*133 = 665 milesCorrect choice is A
Total time taken
143-10133hrsDistance
Speed×Time133(5)665miOption A
If $150 is shared among 25 people, how much does each person receive?
Answers
Each person receives $6
Find x and y. Give reasons to justify your solution. Pleaseee help
Answers
Answers:
x = 40 and y = 40
========================================================
Explanation:
The three angles involving x add up to 180 since they form a straight line or straight angle.
3x+0.5x+x = 180
4.5x = 180
x = 180/(4.5)
x = 40
Then note how the 0.5x and 0.5y angles are vertical angle pairs. Vertical angles form when we have two lines cross to form an X shape, and vertical angles are always opposite one another. Also, vertical angles are always the same measure.
0.5x = 0.5y
x = y
40 = y
y = 40
In the second step, I multiplied both sides by 2. Then I plugged in x = 40 we found earlier.
Russell is eating at a restaurant. His total bill comes to $44.85. If Russell decides to leave a tip that is approximately 20% of the total bill, how much should he leave for the tip?
$9.00
$0.09
$54.00
$8.00
Answers
Answer:
I'm thinking is I'm not sure is is answer 0.9
Step-by-step explanation:
am not sure my answer guys because naka tulong din na man too
[Please, help me. I need it quickly]
If cosA+sinA=√2, then prove A=45°.
Answers
Step-by-step explanation:
Start by squaring both sides
cosA+sinA=[tex]\sqrt{2}[/tex]
[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]
Apply Trig identity
[tex]cos^2x+sin^2x=1[/tex]
2cosAsinA+1=2
2cosAsinA=1
Apply Trig Identity
2cosxsinx=sin(2x)
sin(2A)=1
2A=arcsin1
arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]
2A=[tex]\frac{\pi }{2}[/tex]
A=[tex]\frac{\pi }{4}[/tex]
[tex]\pi[/tex] [tex]radians=180^o[/tex]
A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]
The area of a rectangle is 60 square inches.
The length is x – 3, and the width is x + 8.
Find the value of x, and the dimensions of the rectangle.
A=lw
Answers
X=7 because 7-3 = 4, 7+8= 15,15x4=60.
pls help…. quickkkkkkkkkkk
Answers
Answer: b
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
The shading is above the line, so it must be ≥ or >.
The line is solid, so it must be ≥.
The only choice with ≥ is the answer.
Answer: B.
The price of Stock A at 9 AM was $12.73. Since then, the price has been increasing at the rate of $0.06 per hour. At noon, the price of Stock B was 13.48. It begins to decrease at the rate of $0.14 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?
Answers
Answer:
Let the hours when they equalize=h, then we have:
12.25 + .13h=13 - .09h
.13h + .09h=13 - 12.25
.22h=.75 divide both sides by .22
h=.75/.22
h=3 9/22, hours, when they will equalize.
The stock prices will be the same in 3.4 hours.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
At 9 a.m., the price of Stock A was $12.73. Since then, the price has risen at a pace of $0.06 per hour. Stock B was trading at 13.48 at midday. It starts to fall at a pace of $0.14 each hour.
Let's assume the hours would be h when to equalize,
As per the given question, we can write the equation as:
12.25 + 0.13h = 13 - 0.09h
Rearrange the terms of h in the above equation,
0.13h + 0.09h = 13 - 12.25
Combine the likewise terms in the above equation,
0.22h = 0.75
Divide both sides by 0.22
h = 0.75/0.22
h = 3.4
Thus, the stock prices will be the same in 3.4 hours.
Learn more about the equation here:
brainly.com/question/13947055
#SPJ2
Identify the form the following equation is in y = 2/3x - 7
Answers
Answer:
Point slope form
[tex]y=mx+b[/tex]
Solve for the unknown variable:
Answers
Answer:
if it's a^2+b^2 question,the answer is 25.
Answer:
c =25
Step-by-step explanation:
a^2 + b^2 = c^2
15^2 +20^2 = c^2
625 =c^2
25=c
answer this questtion
Answers
Answer:
69 degrees
Step-by-step explanation:
Answer:
21gb
Step-by-step explanation:
did the test
Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove? 3. 52 (22 minus n) = 0. 24 StartFraction 22 minus n Over 3. 52 EndFraction = StartFraction 24 Over 100 EndFraction StartFraction 3. 52 Over 22 minus n EndFraction = StartFraction 24 Over 100 EndFraction 3. 52 (22 minus n) = 0. 24.
Answers
Answer:
The correct answer is 33.4516
Approximately it is 33.452
what would 2 x (x-3) sum be
Answers
Answer:
2x-6 I think
Step-by-step explanation:
The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?
Answers
Answer:
34
Step-by-step explanation:
634 - 600 = 34
If you sell 225 shares of Dryas Security at $5. 12 per share and 340 shares of Cilla Shipping at $12. 43 per share, how much money will you receive, to the nearest dollar? a. $1,152 b. $5,378 c. $4,226 d. $3,074.
Answers
Answer:
the answer to your question Is B $5,378
Find the domain of the function.
Answers
Answer:
all real numbers except x=8
Step-by-step explanation:
There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.
The domain is all real numbers except x=8.
In interval notation: (-∞, 8) U (8, ∞)
physics book is moved once around the perimeter of a table of dimensions 2.0 m by 0.5 m.
(a) If the book ends up at its initial position, what is its displacement?
(b) What is the distance traveled?
Answers
Step-by-step explanation:
(a) 0. no displacement.
(b) rectangle perimeter :
2×length + 2×width = 2×2 + 2×0.5 = 4 + 1 = 5 m
Write an exponential equation in the form y = ab^x whose graph passes through points (1,0.84) and (2,1.008)
Answers
Answer:
y = 0.7 * 1.2^x
Step-by-step explanation:
(1, 0.84)
0.84 = ab^1
(2, 1.008)
1.008 = ab^2
-------------------------
To find b divide the second point by the first
ab^2 / ab^1 = 1.008 / 0.84
b = 1.2
----------------------
To find a plug b = 1.2 into the first point
0.84 = a * 1.2^1
0.84 = a * 1.2
Divide both sides by 1.2
0.7 = a
------------------------
The equation is
y = 0.7 * 1.2^x
find the slope and y intercept
(0,1) and (2,-3)
whats the slope M=
whats the y intercept b=
Answers
Answer:
y = -2x + 1
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-3 - 1 / 2 - 0
-4 / 2
= -2
y = -2x + b
-3 = -2(2) + b
-3 = -4 + b
1 = b
y = -2x + 1
Evaluate the expression x=7.x+8
Answers
Answer:
15
Step-by-step explanation:
For each time I see x, I replaced it with 7 because I know that x is equal to 7.
I only see one x so I am only replacing that one x so instead of x + 8, I get 7 + 8 and you could split 8 into 5 + 3 and split 7 into 5 + 2.
5 plus 5 is 10. If you are having trouble adding the numbers you could put up 5 fingers first and then add one finger up one by one to still the number 10. Now that just leaves you with 3 + 2.
You could first put up 3 fingers and then add two more to get a total of 5 fingers.
At last, you could just add 10 + 5 to get 15 in total.
Hope this works you!!!
3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to
the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?
Answers
3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?
A fruit market must spend less than $225 for an order of apples and oranges. A pound of apples costs $0.50 and a pound of oranges costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of apples than oranges. Which choice is a reasonable solution?
Answers
Answer:
Oranges :100 pound
Apples : 250 pound
Step-by-step explanation:
A fruit market must spend less than $225 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of peaches than mangoes. Which choice is a reasonable solution?
=========
0.5p + 0.75m <= 225
p = m + 50
-------------------
Substitute for "p" and solve for "m"::
0.5(m+50) + 0.75m <= 255
0.5m + 25 + 0.75m <= 255
2.25m <= 325
---
m <= 144.44
--------------------
# of oranges : 100 pound
# of pound of apples: m+50 = 250 pound
Hope you understand :)
Pls mark me as brainiest
Answer:
Answer choice C should be more Resonable.
Step-by-step explanation: It is very obvious
because you are spending less than $225 and when it says at least 50 more it means that 50 is the bare minimum so the ideal choice is 150 more apples than oranges and likely the oranges will be 100 and aples will be 250 and you won't spend over $225.
solve for y -3.3+y/4=9.7
Answers
Answer: y= 5 /52 = 10 2/5 = 10.4
Step-by-step explanation:
-3.3+y/4=-9.7
We move all terms to the left:
-3.3+y/4-(-9.7)=0
We add all the numbers together, and all the variables
y/4+6.4=0
We multiply all the terms by the denominator
y+(6.4)*4=0
We add all the numbers together, and all the variables
y+25.6=0
We move all terms containing y to the left, all other terms to the right
y=-25.6
Help!
How do you find the change in the output value and the change in the input value, in a table?
Thank you, I just need simple instructions :)
Answers
Answer:
You can use ratio to compare the input and output
Step-by-step explanation:
Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Will make brainliest
Answers
See the steps below:
x² + 4x - 7 = 0x² + 4x + 4 - 4 - 7 = 0(x + 2)² - 11 = 0(x + 2)² = 11x + 2 = ± √11x = - 2 ± √11x = -2 ± 3.32x = 1.32, x = - 5.32PLEASE HELP MEEE
1st pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.
2nd pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.
Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠A.
Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠B.
Answers
Answer:
x1=15, x2=10, angle A=45, angle B=135
Step-by-step explanation:
1st pic: since ray BD bisects angle ABC, 2x=x+15, subtract x from both sides to get x=15
2nd pic: using the same logic as above, x=4x-30. add 30 and subtract x from both sides to get 3x=30, divide by 3 to get x=10
since angle A and angle B are supplementary, A+B=180, since B=3A, we have A+3A=180, or 4A=180. divide to get A=45. since B=3A, B=3*45=135
Answer:
Refer to the explanation for the answer!
Step-by-step explanation:
Hello! Here is what I've found:
<ABC and <DBC in the first picture are both 30 degrees.
<ABC and <DBC in the second picture are both 10 degrees.
For m<A: It would be <A = x and <B = 3x
For m<B: It would be <A = 3x and <B = x
Which of the ordered pairs is a solution to the system of inequalities?
y ≥ 3
y > x
(-3, 2)
(2, 3)
(-4, 3)
(0, 0)
Answers
Sorry if it’s wrong