The first side of a triangle of a triangle is 2 longer than the second side. The third side is 5 shorter than twice the second side. The perimeter is 49m. Find the length of each side.

Answers

Answer 1

Answer:

First side is 15 m.

Second side is 13 m.

Third side is 21 m.

Step-by-step explanation:

Let x be the second side of the triangle = x

The first side of a triangle is 2 longer than the second side = x + 2

The third side is 5 shorter than twice the second side. = 2x - 5

Perimeter = 49 m

The formula for finding the perimeter of triangle is:

P = a + b + c

Put the values in the formula

49 = x + x + 2 + 2x - 5

49 = 4x - 3

Use APE or Addition Property of Equality

49 + 3 = 4x

52 = 4x

Use DPE or Division Property of Equality to find the value of x

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

13 = x

Now put the value of x in the equation

First side( x + 2) = 13 + 2 = 15

Second side( x ) = 13

Third side (2x - 5) =

2(13) - 5

26 - 5

= 21


Related Questions

Which expression is equivalent to -2v+(-4)+(-3v)? A -5 B 7v C -6v+5 D -5v+ 4

Answers

Answer:

-5v+4

Step-by-step explanation:

Remove the parentheses and combine the like terms:  

-2v + (-4) + 8 + (-3v)

-2v -4 + 8 -3v    [Remove parentheses]

-5v +4                [Combine like terms]

-5v +4      

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

115°

Step-by-step explanation:

Since ∠ACM and ∠ACE form a straight line that means that they are supplementary (they add up to 180°). So, if m∠ACB is 65°, then m∠ACE is 180° - 65° which is 115°

Answer:

115

Step-by-step explanation:

[tex]fca + acb + bcd = 180 \\ 90 + 65 + bad = 180 \\ bad = 25 \\ \\ bad = fce \\ fce = 25 \\ \\ ace = acf + fce \\ = 90 + 25 \\ = 115[/tex]

16 is equal to the difference of twice a number p and 8.

Answers

16 = 2(p+8) I believe this is correct based on the wording of the question

What is p squared in math?

Answers

it should be the variable to be solved, so I don’t understand the specific situation? maybe you can elaborate?

What is the slope of a line that passes through the points (8, 3) and (−3, 3)?
A. -8
B. 0
C. 1
D. undefined
Pasagot nga po, need ko na po kasi now

Answers

Answer:

0

Step-by-step explanation:

m = 3-3/8-(-3)

m = 0/11 = 0

The answer is B and it is 0

cho tâp m của 120 số tự nhiên mà mỗi số thì chia hết cho 5 hoặc chia hết cho 7 hoặc chia hết cho 5 và 7 . Biết rằng số ấy có 71 số chia hết cho 5 và 63 chia hết cho 7. Hỏi tập M có bao nhiêu số chia hết cho 35?

Answers

Answer:

I don't understand you

Step-by-step explanation:

plss translate to English

In the year 2010, there were 100g of a certain radioactive isotope. Now there are 70g in 2020 remaining. In what year will there be only 25 left?

Answers

Answer:

2035

Step-by-step explanation:

2010=100g

2020=70

100-70=30

70-30=40

2030=40

Answer:

Somewhere in 2038

Step-by-step explanation:

In 2010 in there was 100g of a certain radioactive isotope

In 2020 now there’s 70g of a certain radioactive isotope

what changed,?

In 10 years they lost 30g of radioactive isotope

Therefore

Year 2030 there will be 50g

Year 2035 there will be 35g

Year 2040 there will be 20g

But we want to get 25g in how many years

1 year takes 3g

2 year takes 6g

3 year takes 9g

4 year takes 12g

But we need to take away 10g from 35 so it’ll be between somewhere between 2038 maybe half year..

For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
360 degrees
a.
6.28 units clockwise
c.
3.14 units clockwise
b.
6.28 units
d.
3.14 units

Answers

9514 1404 393

Answer:

  b.  6.28 units

Step-by-step explanation:

The travel through 360° takes you around the full circumference of the circle. That circumference is ...

  C = 2πr

Since this is a unit circle, the radius is 1, so the circumference is ...

  C = 2π·1 = 2π ≈ 6.28 . . . units (counterclockwise)

Angles are generally considered to be positive in the counterclockwise direction, so the distance traveled is 6.28 units counterclockwise. Answer choice (a) has the correct number of units, but the direction is incorrect.

X + 3 - 3=-6 show all work

Answers

Answer:

x = -6

Step-by-step explanation:

[tex]x+3-3=-6~(Given)\\x=-6~(Combine~like~terms)[/tex]

PLEASE HELP!! Which grabh does NOT represent a function?
Α) Α
B) B
C) С
D) D

Answers

Answer:

The answer is B!

Step-by-step explanation:

Using the vertical line test, two points meet while up and down. It'd be B.

this graph shows how much lisa earns babysitting compared with thge number of hours she works

Answers

Answer:

For every hour she earns 12$

Step-by-step explanation:

If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!

What is the slope of the line that passes through the two following points?
(2,-5),(-1,4)

- 1/3
- -1/3
- 3
- -3

Answers

-3 because 4- -5 is 9 and -1 -2 is -3 and if you put 9/-3 you get -3/1 and -3/1 simplified is -3
Hey, so you use y= y2-y1/ x2-x1
y= 4-(-5)/-1-2
y= 9/-3
y= -3

Therefore, the slope of the line is y=-3

Hello, ive been having issues with a quite easy topic. Slopes of lines? I dont really know how to solve this.

Answers

you would count the amount of squares going up then count the squares going horizontal, so then it would be 5/3 hole this helps:)

BRAINLIEST
Can you help me finish these

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order. if the median is 17. find the value of k.​

Answers

Answer:

k = 7

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

If there is no exact middle value then the median is the average of the 2 values either side of the middle.

5 , k + 3 , 2k + 1 , 3k - 2 , 26 , 31

                          ↑ middle

Then

[tex]\frac{2k+1+3k-2}{2}[/tex] = 17 ( multiply both sides by 2 to clear the fraction )

5k - 1 = 34 ( add 1 to both sides )

5k = 35 ( divide both sides by 5 )

k = 7

The value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have:

5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order

The median of the data set is 17.

The mid-terms are 2k+1 ,3k-2

(2k + 1 + 3k - 2)/2 = 17

5k -1 = 34

5k = 34 + 1

5k = 35

k = 35/5

k = 7

Thus, the value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.

Learn more about the median here:

brainly.com/question/21396105

#SPJ5

To reach his office on time, Mr Chin usually drives to work at an average speed of 75 km/h. However, if Mr Chin increases his average driving speed by 5 km/h, he will reach his office 10 minutes earlier. If the distance Mr Chin needs to travel to reach his office is represented by x km, form an equation in x and solve for x.

Answers

Answer:  x = 200 km

Step-by-step explanation:

Distance(x) = Speed(s) x Time(t)

t is in hours

x=s*t

At 75km/h:  75*t = x

At 80km/h:  80*(t-(10/60)) = x  [the -(10/60) is the 10 minutes saved, in hours]

We know the distance, x, is the same, so we can set these equal to each other:

75*t = 80*(t- (10/60))

75*t = 80*t - 13.3333

-5*t = -13.3333

t = 2 2/3 hours

Both situations should give the same distance with 2 2/3 and 2 2/3 - :

x = (75 km/hr) x ( 2 2/3 hr)= 200 km

x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km

3. What is 5% of 120?
A. 5
B. 6
C. 10
D. 12

Answers

Answer:

B

Step-by-step explanation:

5% of 120

= [tex]\frac{5}{100}[/tex] × 120

= 0.05 × 120

= 6

solving linear systems graphically .

Answers

Answer:

D- points on one side of one of the lines

Step-by-step explanation:

I may be wrong but I believe I am correct

What is the equation of the line in slope-intercept form?

Answers

Answer:

y=2x+1/2 or its y=2x+2

Step-by-step explanation:

Y intercept is when the line intercepts with the y axis, the straight line. In this case it is 4, so b=4

Slope is choosing two imaginary points and appyling the y2-y1/x2-x1 formula in this case is 5/2

Y=5/2x+4

steve has been lifting 225 pounds during a deadlift for several weeks. during his warmup he wants to lift 60% of this weight. how much weight should he lift?

Answers

Answer:

135 lb

Step-by-step explanation:

Turn 60% into a decimal (0.60)

Then multiply 225 by 0.60

225 * 0.60 = 135 lb

help me please and thank you !

Answers

Answer:

I hope this helps.

The solution a+b>-9 is a >-25. What is the value of b

Answers

Answer: b > 16

Step-by-step explanation:

Because a > -25, b must be at least greater than 16, as if a is -25.1, for example, b must be 16.11.  

What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box
Quick please!!!! 50 points!!

Answers

It is y=2x+2. The slope is 2 and the y intercept is 2

∠A and ∠B are complementary. m∠A=29°. find m∠B.

Answers

Answer:

55 degrees

Step-by-step explanation:

Add the expressions up and set up an equation.

( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.

3 x − 6 = 90 3 x = 96 x = 32 Find angle B.

x + 23 = 32 + 23 = 55

Hope this helps, have a nice day/night! :D

Answer:

m∠B = 61°

Step-by-step explanation:

Complementary means two angles that add up to the sum of 90°.

Since we are given m∠A = 29°, subtract 29° from 90°.

90 - 29 = 61

m∠B = 61°

When we round 7.80576 to 3s f, it is equal to:​

Answers

3 SF means you want to include 3 digits including zeros.
So answer is 7.81 (round the zero to 1 as the number after is 5 and above.
In scientific notation it is 7.81 e 0

Write the equation of the graphed line that has a slope of 2 and passes through the point (2,-2)

Answers

Answer:

y = 2x - 6

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 )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (2, - 2 ) into the partial equation

- 2 = 4 + c ⇒ c = - 2 - 4 = - 6

y = 2x - 6 ← equation of line

I need help on 16 17 and 18

Answers

Answer:

Step-by-step explanation:

16. 6.9, or 69/10

17. D,  12 feet

18. 6 11/12

what 1.9 divided by 4

Answers

1.9 dived by 4 = 0.475

Answer:

0.457

Steps bye step explanation:

Suzie has 672 marbles. She wants to put the marbles into 5 containers, each with the same amount. How many marbles will be in two containers?

Answers

Answer:

there would be 67.2 in 2 containers

Step-by-step explanation:

if you take 672 and divide that by 5 you get 134.4 so if you take that number and divide it by 2 you would get 67.2   hope this helps

Can someone double-check this to see if it's right?

Answers

Answer:

yea it is

Step-by-step explanation:

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