if x and x/4 are a pair of supplementary angles find angles​

Answers

Answer 1

[tex]\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}[/tex]


Related Questions

[(8-2) x (3+2) -1] x 3

Answers

Answer:

87 is your answer.

Step-by step solution:

Step 1: According to the DMAS rule, simplify the values that are inside the brackets.

=> [(8 - 2) x (3 + 2) - 1] x 3=> [(6) x (5) - 1] x 3=> [6 x 5 - 1] x 3=> [30 - 1] x 3=> 29 x 3

Step 2: According to the DMAS rule, next, simplify the values that are having multiplication.

=> 29 x 3=> 87Final Answer:

Therefore, 87 is your answer.

Hoped this helped.

Find the slope of the line passing through the points (-8, -3) and (-3,4).

Answers

Answer:

7/5

Step-by-step explanation:

4 + 3 = 7

-3 + 8 = 5

7/5

on a number line, the directed line segment from q to s has endpoints q at –8 and s at 12. point r partitions the directed line segment from q to s in a 4:1 ratio.which expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r?

Answers

The location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]

The midpoint formula is expressed according to the formula;

[tex]R(x, y) = (\frac{ax_1+bx_2}{a+b},\frac{ay_1+by_2}{a+b})[/tex]

where;

a and b are the ratios

Given the coordinates Q(-8, 0) and S(12, 0) partitioned in a 4:1 ratio, the coordinate of point R will be expressed as:

[tex]R(x, y) = (\frac{4(-8)+0}{4+1},\frac{1(12)}{4+1})\\R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]

Hence the location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]

Learn more on midpoint here: https://brainly.com/question/5566419

a spidere traveled 20 feet in 12 minutes. at this rate, how far could it travel in 3 minutes

Answers

Answer:

Spider travel in [tex]5ft[/tex] in 3 minutes

Step-by-step explanation:

A spider traveled 20 feet in 12 minutes.

Speed of spider is

[tex]\frac{20}{12} =\frac{5}{3} ft/min[/tex]

Now we need to find how far could it travel in 3 minutes

Distance

[tex]=3\times\frac{5}{3} \\\\=5ft[/tex]

Calculate the volume of the storage tank to the nearest hundredth.
F.2,840.04 m3
G.8,520.12 m3
H.11,360.16 m3
J.34,080.47 m3

Answers

Answer:

gang gang shii

Step-by-step explanation:

gang gang.

What are the steps to convert a number from standard notation to scientific notation?​

Answers

Answer:

Step-by-step explanation:

The goal in scientific notation is to express a value in terms of a number that contains a single unit before the decimal point.  

Examples:

10000:  1.0 x 10^4

23456:  2.3456x10^4

In both cases, the x10^4 is telling us to multiply the first number by 10,000.  10^4 is the same as 10x10x10x10 = 10,000

The justification for scientific notation is that is makes expression large and small numbers much easier, as well as reduces errors due to an incorrectly placed decimal.

An example:  Divide 2500000000 by 5000.  That would normally require setting up a long-hand division problem that not only wastes paper and pencil, but is also prone to decimal point errors.

Do the same problem with scientific notation:

Count the places you want to move the decimal point backwards to just beyond the 5 in 2500000000.  It takes nine steps to move the decimal point to between the 2 and 5:  2.5 followed by 8 zeros.  That's a total of next steps to go in front of the 5.  This is written 2.5 x 10^9

5000 is represented by 5.0x10^4

Now when we divide the same numbers, but in scientific format, it is easier to see the answer:

(2.5x10^9)/(5.0x10^4)

2.5/5 = 0.5

10^9/10^4 = 10^5  [The exponents are subtracted when dividing with exponents:  9-4 = 5]

Put them together to find the final answer:  0.5x10^5

Then move the decimal point one spot to the right and reduce the exponent by 1:

5.0x10^4

------

Add exponents when multiplying:  10^3 x 10^5 = 10^8  (3+5=8)

Subtract when dividing:  10^7/10^2 = 10^5  (7-2=5)

Multiply when there is an exponent raised to another exponent:  (10^4)^3 = 10^12 (4x3 = 12)

pls answer
a line has a slope of 19/9 and passes through the point (0,15). what is its equation in slope-intercept form?

Answers

Hey there!

We are given the slope of the line: 19/9.We are also given one of the points that the line passes through.Using this information, we can find the equation of the line.First, let's recall the Point-Slope formula:y-y1=m(x-x1)Plug in the given values:y-15=19/9(x-0)y-15=19/9xy=19/9x+15Therefore, the equation is: [tex]y=\frac{19}{9} x+15[/tex] :)

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A girl who helps others with a smile

#LetItSnow

Good luck.

The 250 gallons of maple sap will be
boiled until only 3% of its original
volume is left. How many gallons are
left?

Answers

Answer:

7.5 gallons

Step-by-step explanation:

3 x 250/100

= 7.5

5184 divided by 27
JUST ANSWER

Answers

Answer:

[tex]5184 \div 27 = 192[/tex]

Step-by-step explanation:

Hope this helps you !!

57 % of 200 calculate this please

Answers

so percentage is always out of 100

so 57%is upon 100 then it is 200 upon 1 cuz it is a whole

57% of 20057 /100×200/1114 so the ans is 114 i hope u understood it

Hey there!

57% of 200

= 57% * 200

= 57/100 * 200/1

= 0.57 * 200

= 57(200)/100(1)

= 11,400/100

= 114

Therefore, your answer is: 114

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Form 8B were investigating how a metal bar expands while being heated. The bar

was originally 30 cm in length and it expanded to 31.75 cm.

Calculate the percentage increase in length. Give your answer correct to 1 decimal

place.

Answers

Answer:

5.8%

Step-by-step explanation:

to work out percentage increase:

(new value - original value) ÷ original value and times it all by 100

((31.75-30) ÷ 30) × 100

=5.8% (1dp)

There are 8 tanks and 5 barrels. Each container has 45 liters of
oil. What is the total amount of oil in all the containers?
liters

Answers

Answer:

585

Step-by-step explanation:

Since there are 8 tanks and 5 barrels, you must add the two together,

[tex]8+5=13\\[/tex]

Then since there are 45 liters of oil in each containe, you have to multiply,

[tex]13x45=585[/tex]

There are 585 liters of oil

Mr. Jones spent $156 to attend a college football game.

- Twenty percent of this cost was for a parking pass.

- He spent the remainder of the money on two tickets for the game.

What was the price per ticket?

Answers

Answer: $62.40

Step-by-step explanation:

what is 20% of 156 ? 31.20

what is 156 - 31.2 ? 124.80

what is 124.8 / 2 ? 62.40

each ticket cost 62.40 dollars

A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
Complete the table to determine the values of m and b.



Answers

Answer:

m = 2, b = 9

Step-by-step explanation:

Find m (the slope) by subtracting y1 - y2 (1 - 3 = -2) and x1 - x2 (-4 - -3 = -1). Put the y answer on top of the x answer and simplify. -2/-1 = 2 because the negatives cancel each other out.

Find b by substituting one of the coordinates into the problem.

y = mx + b

1 = 2(-4) + b

1 = -8 + b

9 = b

Can you help me with this please.

Answers

Answer:

c, i believe!!

Step-by-step explanation:

have a good day! <33

Answer:

t = 6n

Step-by-step explanation:

6 divided by 1 = 6

If a letter of the alphabet is chosen at random, what is the probability that it will be a vowel? (Y is not a vowel.) a. 1/2 b. 3/13 c. 1/5 d. 5/26 Please select the best answer from the choices provided A B C D

Answers

Answer: I believe D.

Jacoby made and sold x candy bars in one week. His profit, P, in dollars is calculated using the formula P = R-C

where R represents his revenue and C represents his costs. If R = 3x^2 – x+ 6 and C = -7x^2– 7x + 2. what is

the expression that represents his profit in dollars?

Answers

Answer:  P = 10x^2 +6x + 4

Step-by-step explanation:

P = R-C

R = (3x^2 - x + 6)

C = (-7x^2 -7x + 2)

P = (3x^2 - x + 6) - (-7x^2 -7x + 2)

P = 3x^2 - x + 6 + 7x^2 +7x - 2

P = 10x^2 +6x + 4

If a transversal intersects two parallel lines then find the ratio of the number of pairs of alternate angles to the number of pairs of corresponding angles so formed

Answers

Hint: Starting with drawing a diagram using
all the information given in the question.
Assume two parallel lines as 'm' and 'n'.
And name all the angles formed by the
intersection of transverse with parallel
lines. Use the property that says that the
corresponding angles and opposite angles
are equal for a pair of parallel lines.
Combine the two hence formed equations
to get the required relationship.
Complete step-by-step answer:
Here in this problem, we are given two
parallel lines and a transversal intersects it.
Now within this situation, we need to prove
that each pair of alternate angles is equal.
Before starting with the solution to the
above problem, we must draw a figure
using all the information given to us.
Alternate angles are the two angles, other lines.
So according to the above figure, we
assumed that the two parallel lines be 'm
and 'n' with one transverse cutting both of
them at two points and forming eight
angles named as <1, <2, <3, <4, <5, <6,<7 and
<8
Here we need to prove that the pair
alternate angles, i.e. <3=<5 and <4=26
As we know that the corresponding angles
between two parallel lines are equal in
measure. A corresponding angle is the
angles that occupy the same relative
position at each intersection where a
straight line crosses two others.
i.e. <2=<6,<1= <5,43=<7 and <4=<8
•(i)
Also, the opposite angles formed in the
intersection of two lines are equal in
measure,
i.e. <1=43,42= <4,46= <8 and <5=<7
.. (11)
From relation (i) and (li), we can write two
pairs as <2=<6 and <2=<4 we can say <6=<4
Similarly, if we take two pairs from (i) and (li)
aS <1=<5
and <1=<3
From these above equations, we can
conclude that <3=<5
Therefore, we get the required relation
<3=45 and <4=<6
Hence, we proved that the alternate angles
of two parallel lines intersected by a
transverse are equal in measure.
Note: Remember that the original problem
was to prove that the alternate angles are
equal for two parallel lines and an
intersecting transverse. We here used our
assumption of two lines 'm' and 'n' and a
transverse using a figure. Naming the
angles formed on the intersection of these
lines helped us to form the relations and
equations. Questions like this method are
always useful. An alternative approach can
be to use the theorem that says that the From these above equations, we can
conclude that <3=<5
Therefore, we get the required relation
<3=25 and <4=26
Hence, we proved that the alternate angles
of two parallel lines intersected by a
transverse are equal in measure.
Note: Remember that the original problem
was to prove that the alternate angles are
equal for two parallel lines and an
intersecting transverse. We here used our
assumption of two lines 'm' and 'n' and a
transverse using a figure. Naming the
angles formed on the intersection of these
lines helped us to form the relations and
equations. Questions like this method are
always useful. An alternative approach can
be to use the theorem that says that the
sum of interior angles on the same side is
supplementary

There are 5 roses in a vase of 13 flowers. The rest are daisies.
a) What is the ratio of daisies to roses?
(b) What is the ratio of all flowers in the vase to daisies?
pls answer these

Answers

A)5:8
B)8:13
I’m not sure if this is right tho

I need help on this question it says Find the quotient 60÷5

Answers

60 divided by 5 would equal for your answer to be 12

GEOMETRY QUESTION NEED HELP ASAP 50 POINTS PLEASE PUT FULL ANSWER!!!!​ 2 part question find the answer to the one in the picture also find the measure of angle 7 also please

Answers

angle 1 as we are told = 95°
That makes angle E also = 95°
95+95 = 190 so 360-190 = 170
that makes angles 3 and 4 = 85°

angle 2 is 36° so that makes angle 6 = 36°
so u do 180-36-85 = 59° for angle 7

ANGLE 7 = 59°

Angle m


Which graph represents a function???

Answers

Answer:

C

Step-by-step explanation:

C is the only graph that passes the vertical line test.

Answer:

c

Step-by-step explanation:

The line doesn't cross eachother

Elisa and Teresa are comparing weights. If Elisa weights 52 1⁄4 kilograms
and Teresa weighs 49 4/9 kilograms, what is the difference in their
weights?

Answers

Answer:

[tex]52\frac{1}{4\\}[/tex] -  [tex]49\frac{4}{9}[/tex]  = [tex]\frac{101}{36}[/tex]

Step-by-step explanation:

First, we have to convert the mixed fractions to improper fractions

[tex]52\frac{1}{4\\}[/tex] = [tex]\frac{4 x 52 +1}{4}[/tex] = [tex]\frac{209}{4}[/tex]

[tex]49\frac{4}{9}[/tex] = [tex]\frac{9 x 49 + 4}{9}[/tex] = [tex]\frac{445}{9}[/tex]

[tex]\frac{209}{4}[/tex] - [tex]\frac{445}{9}[/tex] = [tex]\frac{1881}{36}[/tex] - [tex]\frac{1780}{36}[/tex] = [tex]\frac{101}{36}[/tex]

We cannot simplify [tex]\frac{101}{36}[/tex] so it is the final answer

i believe 101 / 36! hope this helps

6. Find the zeros of f(x):

f(x) = 2x + 6

Answers

Answer:

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Set equation equal to zero

0 = 2x + 6

-6 = 2x

x = -6/2

x = -3

PLEASE help, I'm begging, this was due to all the way back at November 12th, please help!!! Finding the Inverse of a Function Algebraically Practice Pt. 2

Answers

Answer:

19

Step-by-step explanation:

Find the length of the second base of a trapezoid with one base measuring 18 feet, a height of 5.3 feet, and an area of 125.4 square feet.​

Answers

Answer:

29.32 feet

Step-by-step explanation:

area of a trapezoid = height/2 * (first base + second base)

125.4 = 5.3 / 2 * (18 + second base)

125.4 = 2.65 * (18 + second base)

We want to solve for the second base. To do this, we can start by isolating the (18+second base) by dividing each side by 2.65

47.32 = 18 + second base

subtract 18 from both sides to solve for the second base

29.32 = second base

LOOKING FOR THE ANSWER TO # 6Saving money is something that everyone should do, if they are able, even if the amounts are small. In
this activity, you will calculate savings based on patterns and graph and compare different functions that
represent savings.
Below is a savings plan for Jeanette. Use this table to answer the questions below.
# of Months Saving Account Balance
2 $70
4 $90
6 $110
8 $130
10 $150
1. How much money will Jeanette have saved after 12 months?
2. How much money will Jeanette have saved after 24 months?
3. In how many months will Jeanette have saved $140? $190?
4. What is the rate of change?
5. How does knowing the rate of change help you in answering questions in this problem?
6. What equation would you write to represent this data?

Answers

I'm not that good at explaining but here are my answers:

1- 170

2-340

3- 9 months for $140 and 14 months for $190

4- 10

5-If the x (or months savings) goes up or down, so does the y (or account balance)

6- 70y +20n= 2x

explanation:

1- 150 + 20 = 170

2- 170*2= 340

3-the number always goes up by 20, if it's something like an uneven number, let's say 3, which is after 2, add 10.  

4- can't explain this, I used a calculator

5- i don't think I have to explain

6- I don't know, I just took a random equation and "plugged in" the numbers from the equation I was working on.

Which expressions are equivalent to -56z+28?
A.) 1/2⋅(-28z+14)
B.)(-1.4z+0.7) x 40
C.) (14-7z)⋅(-4)
D.)(8z−4)(−7)
E.)−2(−28z−14)
PLEASE HELP THANK YOU!!!

Answers

I think the answer is D :)

help please, put how you found it out if you can too !

Answers

Answer:

104 degrees

Step-by-step explanation:

180-(180-(180-(25+85)+65)+31)

Another help!!! Good points fake response =report

Answers

Answer:

135

Step-by-step explanation:

3³ × (12-2) ÷ 2 =

27 × 10 ÷ 2 =

270 ÷ 2 =

135

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