The lengths of the sides of a triangle are in the extended ratio 6 ​: 7 ​: 10. The perimeter of the triangle is 92 cm. What are the lengths of the​ sides?

Answers

Answer 1

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

The ratios of length : 6 : 7 : 10Perimeter of a triangle = 92 cm

Let the lengths of a triangle be 6x , 7x and 10x.

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Lengths of the side

[tex] \underline{ \boxed{ \text{Sum \: of \: all \: sides \: of \: triangle = Perimeter \: of \: a \: triangle}}}[/tex]

⟹ [tex] \sf{6x + 7x + 10 = 92}[/tex]

Solve for x

⟹ [tex] \sf{23x = 92}[/tex]

⟹ [tex] \sf{ \frac{23x}{23} = \frac{92}{23}} [/tex]

⟹ [tex] \sf{x = 4}[/tex] cm

Now , Replacing the value of x :

⟼ [tex] \sf{6x = 6 \times4 = 24}[/tex] cm

⟼ [tex] \sf{7x = 7 \times 4 = 28}[/tex] cm

⟼ [tex] \sf{10x = 10 \times 4 = 40}[/tex] cm

Hence , the sides of the triangle are 24 cm , 28 cm and 40 cm.

Hope I helped ! ♡

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Related Questions

express 5×-4y=20 in the form a×+by+c=0and write the value of a,band c

Answers

Answer:

a = 5

b = -4

c = -20

Step-by-step explanation:

Here, we want to express the given equation in the following form;

So we can have this as;

5x-4y-20 = 0

That means we have;

a as 5

b as -4

and c as -20

For each gym memberships sold, the gym keeps $42 and the employee who sold it gets eight dollars. What is the commission of the employee earned as a percentage of the total cost of the gym membership?

Answers

Answer:

i think 7

Step-by-step explanation:

Answer

is there it a multiple choice or just a word problem

Step-by-step explanation:

– 7y = 7x + 21

Please I need these two question answered fasttttt, I need to get the slope and y-intercept for both these problems.

Answers

Answer:

slope=-1

y-intercept=-3

Step-by-step explanation:

if you solve the equation, it equals y = -x-3 since you divide -7 from both sides

Please help! ill give brainliest

Answers

Answer:

y=-6

Step-by-step explanation:

1. plug in the values, it will be y=4/3(-6) + 2

2. simplify

y=-24/3 + 2

y=-8+2

y=-6

I hope this helped, and if it did, please mark this as brainliest! thanks

please help me with this! Thank youu​

Answers

Answer:

y=-3x+2

y = [tex]\frac{1}{5}[/tex]x - 5

Step-by-step explanation:

Question 1

It is given that;

- one of the lines has an equation of; y = -3x-7

- the given line's y-int is (0, 2) ~(The y-int is when the line crosses the y axis, hence x is zero)

- these two lines are parallel

When two lines are parallel, their slope is the same, hence  the equations of the given line would look like this;

y = -3x + 2

In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).

Questions 2

It is given that;

- one of the lines has an equation of y = -5x + 1

- the given line's y-int is (0, -5) ~(The y-int is when the line crosses the y axis, hence x is zero)

- these two lines are perpendicular

When two lines are perpendicular, their slopes are the negatives reciprocal of each other, hence the equations of the given line would look like this;

y = [tex]\frac{1}{5}[/tex]x - 5

In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).

What is the measurement of Angle JKL? *
What is MLJKL? Enter your answer in the box
(2x + 5)
(3x - 6)
M
L

Answers

Answer:

Option (1)

Step-by-step explanation:

From the triangles given in the picture,

Since, JK ≅ KL [Given]

JM ≅ ML [Given]

KM ≅ KM [Reflexive property of congruence]

ΔJMK ≅ ΔLMK [SSS property of congruence]

Therefore, ∠JKM ≅ ∠LKM [CPCTC]

(2x + 5) = (3x - 6)

3x - 2x = 5 + 6

x = 11

m∠JKL = m∠JKM + m∠LKM

            = (2x + 5) + (3x - 6)

            = 5x - 1

            = 5(11) - 1

             = 54

Option (1) will be the answer.

13. Given a circle with diameter BC and
inscribed angle BAC, make a conjecture
about the measure of this inscribed angle.
B

Answers

Step-by-step explanation:

if BC is the diamater and angle BAC is inscribed, that means that BAC=90degrees, because the chord of the angle(BC) is equal to half a circle or 180 degrees and each inscribed angle is 1/2 of its respective chord. so angle B's value would be equal to 180-BAC-ACB=90-ACB(or angle C)

help pls (I need to make it 20 things so Im typing this)

Answers

Answer:

8

Step-by-step explanation:

this 3 qub root of 512 is 8

What is the 87th term of the arithmetic sequence of 12,0,-12

Answers

Step-by-step explanation:

12,0,-12

[tex]a1 = 12 \\ a2 = 0 \\ d = a2 - a1 \\ d = 0 - 12 = - 12 \\ an = a1 + (n - 1) \times d \\ \\ a87 = 12 + (87 - 1) \times ( - 12) \\ a87 = 12 - 1032[/tex]

Explain why the following problem will have an
irrational answer.
√5 x 7.14

Answers

Answer:The product is a non-repeating non terminating decimal. Think it is.

Step-by-step explanation:

Answer:

It is a non repeating non terminating decimal.

Step-by-step explanation:

What are the 5 levels of organization in an ecosystem? Please put them in order from level 1 to level 5.

- biosphere
-Individual organism
-community
-population
-ecosystem

Please help I’m on a test can you place these in order!

Answers

Answer:

Individual                     |

Population                   |

Community                  |

Ecosystem                   |

Biosphere                   V

Step-by-step explanation:

Answer:

population

community

ecosystem

biosphere

Click on the volume of this rectangular prism.
6 cm
9cm
12cm

Answers

Answer:

648 , just multiple all the numbers together

Micheal drove 936 miles in 13 hours at the same rate,how many miles would he drive in 9 hours

Answers

Answer:

The answer is 648 miles.

Step-by-step explanation:

936miles= 13 hours

? = 9 hours

936/ 13 = 72

72miles in 1 hour

72 x 9 = 648

648 miles in 9 hours

Gerry spends $1.75 each day for lunch at school. On Fridays, she buys an extra snack for $0.65. How much money will she spend in two weeks?

Answers

1.75 x 14 =24.5
.65 +.65 =1.30
25.80

Answer:

she will spend $0.45

Step-by-step explanation:

Ja'kniya and Alayjah are shopping at the Apple Store. Ja'kniya bought 4 screensavers and 3 Otterboxes for $29. Alayjah bought 6 screensavers and 2 Otterboxes for $26. How much did each screensaver and each Otterbox cost?

Answers

Answer:  Each screensaver costs $2 and each Otterbox costs $7.

Step-by-step explanation:

Let x = Cost of each screensaver and y = cost of each Otterbox.

As per given, 4x+3y=29       (i)

6x +2y = 26  (ii)

Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get

9x+3y=39    (iii)

Eliminate (i) from (iii) , we get

5x = 10

⇒ x = 2  [Divide both sides by 5]

Put value of x in (i), we get

4(2)+3y=29

⇒ 8+3y= 29

⇒ 3y= 21

⇒ y =7 [Divide both sides by 7]

Hence, Each screensaver costs $2 and each Otterbox costs $7.

Help needed!! Asapp pleasee:(

Answers

Answer:

7362.49 yards

Step-by-step explanation:

Mauricio has a height of 2 yards

The building has a height of 906 yards from the ground

The height of the building from Mauricio's eye will be : 906 - 2 = 904 yards

The angle of elevation of the top of building from the viewer = 7°

Apply the formula for tangent of an angle where;

Tan ∅ = Opposite side height/Adjacent length

Tan 7° = height of building / viewer distance from base of building

Tan 7° = 904 / viewer distance from base of building

Viewer distance from base of building = 904/Tan 7°

=7362.48917089

=7362.49 yards

Rachel has ridden 68 miles of a bike course. The course is 80 miles long. What percentage of the course has Rachel ridden so far?

Answers

Answer:

92%

Step-by-step explanation:

since i helped can i have brainlst please that would be greatly apericated

Answer:

85%

Percentage solution with steps:

Step 1: We make the assumption that 80 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100% = 80.

Step 4: In the same vein, x% = 68.

Step 5: This gives us a pair of simple equations:

100% = 80(1)

x% = 68(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left-hand side) of both equations have the same unit (%); we have

100%/x% = 80/68

Step 7: Taking the inverse (or reciprocal) of both sides yields

x%/100% = 68/80

__>x = 85%

Therefore, 68 is 85% of 80.

 thanks for the help but I need this answer please!!!

Answers

Answer:60 degrees

Step-by-step explanation:

Your other angle is 120 - a straight line has angles must add up to 180. 180-120=60 degrees


Help plz will mark Brainly

Answers

Answer:

126 inches

Step-by-step explanation:

If your drawing is on a 1 : 40 scale, to find the scale's height, divide the ride's height by 40.

420 / 40 = 10.5

So the drawing will be 10.5 feet tall.

To convert 10.5 feet to inches, multiply it by 12.

10.5 * 12 = 126 inches

PLEASE answer as soon as you can! First correct answer will get BRAINLIEST!!! :)

Answers

Answer:81x+15

Step-by-step explanation:

x^2+8x+15

I add 8x and x together to get 9x

9x^2+15

81x+15

Hope it helps

Which statement describes a property of water?
O A. It is less dense as a solid than as a gas.
o B. It is less dense as a solid than as a liquid.
C. It is more dense as a gas than as a liquid.
0
D. It is more dense as a solid than as a liquid.

Answers

Answer:

the answer is D. dense means heavier, basically

Answer:

its D dense

Step-by-step explanation:

because dense means more inside

the cost price of the aritcle when it is sold at a loss of 25% for 150​

Answers

On selling the article there is a loss of 25% hence it is obvious value would be higher than 150. Let's take a round figure 200. Hence, the cost price is 200, on selling for a loss of Rs. 50, 25% selling price becomes Rs. 150.

Answer:

Step-by-step explanation:

is y= -2x a negative slope

Answers

No it is not a negative slope

help me on this pleasseeee

Answers

Answer:

1) E and F

Step-by-step explanation:

So width is x

legth Is 3x+3

Perimeter is

3x+3+3x+3+x+x

Now simplify

8x+6

Now go through each choice that equals 8x+6

Only e and f

somone please help this so difficult

Answers

Answer:

23a) x=-y+9/2

23b) x=1/2 y+3/2

Step-by-step explanation:

23a:

Let's solve for x.

2x+2y=9

Step 1: Add -2y to both sides.

2x+2y+−2y=9+−2y

2x=−2y+9

Step 2: Divide both sides by 2.

2x/2 = -2y+9/2

x = -y+9/2

23b:

Let's solve for x.

2x−y=3

Step 1: Add y to both sides.

2x−y+y=3+y

2x=y+3

Step 2: Divide both sides by 2.

2x/2=y+3/2

x = 1/2 y+3/2

Hope it helped!

Find the values of y
Y squared = 169

Answers

Answer: 13

Step-by-step explanation:

13 times 13 is 169!

Good luck!

The square root of 169 is 13 so y should be 13

Is it in scientific notation? Answer Yes or No
i. 32.7x107
ii. 0.72x10-8
iii. 5.4EE7
iv. 9.7x104

Answers

Answer:yes

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

*PLEASE HELP ME THIS IS URGENT!!*

Answers

Answer:

230mps can be ans you can try it

14. Max wants to buy some shorts that are
priced at $8 each. He decided to buy a pair
of sneakers for $39, but the total cost of the
shorts and the sneakers must be less than $75.
a. Write an inequality to find out how many
pairs of shorts Max can buy.
b. Suppose that Max wants to buy 6 pairs
of shorts. Will he have enough money?
Explain.
c. Solve the inequality to find the greatest
number of pairs of shorts that Max can buy.
Show your work.

Answers

Answer:

A. ($39)+(8)+(8)+(8)+(8)=71

Therfore he can buy 4 pairs of shorts.

B. No, if he wanted to buy 6 pairs of shorts it would be $87.00 with the sneakers. If he wanted to buy the shorts by themselves then it would only be $48.00 WITHOUT the sneakers.

C. The most amount of shorts he can buy would be 4 WITH the sneakers.

Step-by-step explanation:

Hope this helps. Not sure if right or not but when i was typing it out it made sense. Goodluck! brainliest?

Somebody pls pls help me with this I’ll mark u brainliest

Answers

Answer:

Step-by-step explanation:

The angle of a line is 180 degrees. A right angle is 90 degrees, and the given angle is 55 degrees. All you have to do is add 90 and 55, and subtract that sum from 180.

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