The length of the base of an isosceles triangle is x. The length of a leg is 4x - 7. The perimeter of the triangle is 31. Find x.

Answers

Answer 1

Answer:

x= 5

Step-by-step explanation:

am isosceles triangle has 2 sides equal i.e the legs.


Related Questions

What angle is congruent to ∠C?

Answers

Step-by-step explanation:

Order of congruence does not matter. For any angles A,B, and C , if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C . If two angles are both congruent to a third angle, then the first two angles are also congruent.

The temperature was -16 degrees at noon. By 2:00 PM it dropped to 10 Degrees. What was the temperature at 2:00 Pm

Answers

The temperature at 2:00Pm would be -26 degrees

Select the correct answer.
if g(x) = f(1/3x) which statement is true?

OA. The graph of function fis stretched vertically by a scale factor of 3 to create the graph of function g.
ОВ. The graph of function fis stretched horizontally by a scale factor of 3 to create the graph of function g.
oc. The graph of function fis compressed horizontally by a scale factor of 1/3 to create the graph of function g.
Od. The graph of function fis compressed vertically by a scale factor of 1/3 to create the graph of function g.

Answers

Answer:

D

Step-by-step explanation:

It says that f(1/3x)=g(x), so scale factor is 1/3 and it is across the y axis because f(x) is basically y.

The correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Let us take the function g(x) as f(1/3 x).

This means that g(x) takes the value of f at  1/3 of x's value.

If f(2) = 4, then g(6) = f(1/3×6) = f(2) = 4.

When we replace x with 3x, we are compressing the graph of f horizontally by a factor of 1/3.

This is because every point on the graph of f now has 1/3 of its original x-coordinate.

The point (2, 4) was on the graph of f, it is now on the graph of g as (6, 4).

The scale factor is less than 1 because we are compressing the graph horizontally, which means the x-values are getting smaller.

Therefore, the correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.

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solve pls brainliest

Answers

Answer:

192

Step-by-step explanation:

Volume of a rectangular prism = length times width times height.

For the following prism, length = 4, width = 6 and height = 8

So volume would equal 4 * 6 * 8 = 192ft²

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 80 meters × 60 meters. How much shorter is the route across the park than the route around its edges?

Answers

Answer:

40meters

Step-by-step explanation:

rectangular park has 90 degree at vertex.so

in that right angled triangle

we have,

length=base=80meters

breadth=perpendicular=60

diagonal=hypotenuse=?

now,

h^2=p^2+b^2

h=square root under 80^2+60^2

h=square root under 6400+3600

h=square root under 10000

h=100

Again,

around root =80+60=140

daigonal=100.

so

the route is 140-100=40meters shorter

Please help explain my answer!!
Why does a compass point towards the earth's geographic North Pole?
My answer:
Because that's where Earth's south magnetic pole is located and they attract.
Make sure to explain your answer.
Help!

Answers

The correct answers are that Earth’s North Pole is close to the magnetic south pole, magnets allowed to move freely align themselves to point north, and the north pole on a compass is attracted to Earth’s south pole. I really hope this helps you!!

Using the appropriate Algebraic identity evaluate the following:(3p -q) (3p +q)​

Answers

Step-by-step explanation:

expand and multiply the terms

Which postulate /theorem can you use to prove the two triangles shown are congruent? ​

Answers

777377737666267#773727363653626728’e

Directions:

It’s easy for people to get stuck in their own minds or their own worlds instead of seeing the perspectives of others. Take a moment to consider the perspective of the characters listed. Choose one character. Write a short paragraph to explain the perspective of that character by putting yourself “in their shoes.” Consider these questions:

What might be his or her struggles?
How does the character see the world around himself or herself?
What decisions would you make if you were in the character’s place?
Be sure to use specific examples or textual evidence from research, the readings in this class, or your own experiences and knowledge.

Prompt:

Topic 1: Perspective of Montresor in “The Cask of Amontillado”

Topic 2: Perspective of Princess Irene in The Princess and the Goblin, Chapter 14

Answers

Answer: Montresor struggles with anger, and grudges. Montresor feels remorse at the end but excuses it as the dampness of the catacombs.

He sees the world without justice and sees to make justice for himself. In the story he talks about the misgivings and insults he receives from fortunato. He takes vengeance against him.

(haven´t read book based off summary) Princess Irene  shares a friendship that is strong. I infer this based off the trust and bonding they share in the book. She struggles against goblins.  

Step-by-step explanation: I really hope this helps havent read the books in a long time.!!

An electronics store is having an 18% off sale on everything in the store. To the nearest cent, which of the following could represent regular prices and sale prices of items in the store during the sale? Select all that apply.

Answers

What do I select? You didn't put anything here.

The 18% off on the regular price of $55.43 is $45.45 so (A) is correct and the 18% off on the regular price of $29.99 is $24.59 so (B) is correct rest is not true.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The 18% off of x ⇒ x - (18/100)x = 0.82x

Therefore, 18% off of $55.43 → 0.82 × 55.43 =  $45.45

18% off of $29.99 → 0.82 × 29.99 = $24.59

18% off of $215.33→ 0.82 ×215.33 =$172.26

18% off of 849.50 → 0.82 ×849.50 = $679.60

18% off of 652.30→ 0.82 ×652.30 =  $534.89

Hence "The 18% off on the regular price of $55.43 is $45.45 and the 18% off on the regular price of $29.99 is $24.59 rest are not true.

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Given question is incomplete,complete question follows ;

An electronics store is having an 18% off sale on everything in the store. To the nearest cent, which of the following could represent regular prices and sale prices of items in the store during the sale? Select all that apply.

Multiple select questions.

A)

regular price: $55.43, sale price: $45.45

B)

regular price: $29.99, sale price: $24.59

C)

regular price: $215.33, sale price: $172.26

D)

regular price: $849.50, sale price: $679.60

E)

regular price: $652.30, sale price: $534.89

22% of what number is 24.2​

Answers

Answer:110

Step-by-step explanation:

24.2/x = 22/100

Where x is the number we are looking for

cross multiply

24.2*100 = 2420

22*x=22x

22x=2420

22x/22=2420/22

x= 110

so 24.2 is 22% of 110

Answer:

If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change.

Step-by-step explanation:

If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change Multiply a number by the fraction 100/100, and its value doesn't change.

4,505 in expanded form​

Answers

Expanded: 4000+ 500+ 00+ 5

Find the value of 2cosx+1=0;0 less than x less than 360°

Answers

Answer:

120°; 240°

Step-by-step explanation:

Let's first solve for [tex]cosx[/tex]: [tex]2cosx=-1 \rightarrow cosx=-\frac12[/tex] At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is [tex]-\frac12[/tex] on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.

Factor
10x + 100x + 250

Answers

10(11x+25)
Is the answer

how do I become good at fortine ​

Answers

Answer:

practice.

Step-by-step explanation:

hope this helps. . . <3

good luck!     uωu

Answer:

umm work harder I guess -,-

Step-by-step explanation:

Marie and Amy are cutting ribbons to attach to balloons for Amy's birthday party. Each guest's chair will have on balloon tied to it. each ribbon is 2/3 of a yard and they have 6 yards of ribbon in total. How many ribbons will they cut. A. 1/9 B.4 C.8 D. 9


PLS ANSWER QUICK FIRST RIGHT ANSWER WILL BEE MARKED AS BRAINLEIST

Answers

Answer:

D 9

Step-by-step explanation:

1 ribbon ---- 2/3 yards

x          ------  6 yards

6 * 1 = 2/3 * x

6 = 2/3 x

18/2 = x

x = 9

9 ribbons can be cut from 6 yards of ribbon

The coefficient in the formula above tells us that there are?

Answers

Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)

Step-by-step explanation:

Solve the equation below 2(t+4)=7+5(t-4)

Answers

Answer:

t= 7

Step-by-step explanation:

2(t +4)= 7 +5(t -4)

Expand:

2t +2(4)= 7 +5t +5(-4)

2t +8= 7 +5t -20

2t +8= 5t -13

Bring constants to one side, t terms to the other:

5t -2t= 13 +8

Simplify:

3t= 21

Divide both sides by 3:

t= 21 ÷3

t= 7

a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails

Answers

If you flip a coin one time, the probability to get a Head is

p = 1/2

The probability of not getting a head in a single toss is :

q = 1 - 1/2 = 1/2

Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.

Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :

P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246

So the probability of that is 24,6 %

Good Luck

Lizzy makes $1800 per month working in a nail Spa. And Jackie makes 1500 per month plus 20%
a
percent commission per service per costumer. How many nail services Jackie has to complete per
month in order to make as much as Lizzy does?

Answers

Based on the amount Lizzy makes per month, to reach that amount, Jackie would have to complete 75 nail services.

The difference between Lizzy's base salary and Jackie's is:

= 1,800 - 1,500

= $300

Assuming a nail service costs $20, the amount she makes per service is:

= 20% x 20

= $4

The number of nail services she needs to do is therefore:

= Difference in wages / Amount per service

= 300 / 4

= 75 nail services

In conclusion, Jackie needs to do 75 nail services.

Find out more at https://brainly.com/question/17700034.

Nina paid $37.57 for 13 gallons of gas Fred paid $55.67 for 19 gallons of gas Eleanor paid $48.62 for 17 gallons of gas. Who got the best buy?
(Find the unit price for each

Answers

Answer:

Nina paid $2.89 per gallon.

Fred paid $2.93 per gallon.

Elanor paid $2.86 per gallon.

Elanor got the best deal.

Step-by-step explanation: Simple division, and if you don't know how to, just learn it or use a calculator.

Answer:

Eleanor because they paid the lowest.

Step-by-step explanation:

N=Nina F=Fred E=Eleanor

N 37.57/13=2.89 per gallon

F 55.67/19=2.93 per gallon

E 48.62/17=2.86 per gallon

[tex]\sqrt{7+2\sqrt{10} } -\sqrt{7-2\sqrt{10} }[/tex]

Answers

7247/673726:6737-78488

The price of oranges is proportional to the number of oranges if
One orange costs 1200 Rs. Find:
A. The price of 12 oranges.
B. The amount of oranges that cost 32,000 Rs.​

Answers

#1

Cost of 1orange=1200

Cost of 12 oranges:-

[tex]\\ \sf\longmapsto 1200(12)=14400[/tex]

#2

Total cost=32000Cost of one orange=1200

Total oranges

[tex]\\ \sf\longmapsto 32000\div 1200[/tex]

[tex]\\ \sf\longmapsto 2666.6[/tex]

[tex]\\ \sf\longmapsto 2667[/tex]

If the cube shown is 4 inches on all sides, what is the length of the diagonal, x, of the cube?

A) 3 square root 2 inches.
B) 3 square root 3 inches.
C) 3 square root 4 inches.
D) 4 square root 3 inches.

Answers

The answer of your question is c

Answer:

Step-by-step explanation:

Correct answer:

3√3

Explanation:

General formula for the diagonal of a cube if each side of the cube = s

Use Pythagorean Theorem to get the diagonal across the base:

s2 + s2 = h2

And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:

h2 + s2 = d2

s2 + s2 + s2 = d2

3 * s2 = d2

d = √ (3 * s2) = s √3

So, if s = 3 then the answer is 3√3

Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?

Answers

Answer:

Yes

Step-by-step explanation:

Because it’s a trapezoid and those can be trapezoid because they have one pair of parallel sides and a parallelogram has two pairs of parallel sides so a parallelogram is also a trapezoid.

simplify (5 cubed)to the power of 6 leaving your answer in index form

Answers

Answer:

I got up to 25 to the power of 6

Step-by-step explanation:

5 cubed is 25, Hope this leads you in the right direction

This is probably easy oh well

Answers

c, the third answer…..
the third one which would be C.

36 x 1/9, show work please !

Answers

Answer:

4 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

39 × [tex]\frac{1}{9}[/tex]

39 times 1 is 39

39/9 is 4.33333333 Which is also, 4 [tex]\frac{1}{3}[/tex]

36*1/9

36/1*1/9

We then multiply the numerator and the denominator

“36/9

it takes an ant farm 3 days to consume 1/2 of an apple. At that rate in how many days will the ant farm consume 3 apples

Answers

Answer:

18 days

Step-by-step explanation:

1/2 apple = 3 days

3 apples = 18 days

18 days
as 1/2 of a apple takes 3 days.
1 whole apple = 6 days
6 x 3 = 18.

Make x the subject of the formula x + t = q

Answers

Answer:

x = t - q

Step-by-step explanation:

because to make q, you need to add x and t

so to make x the subject, you should subtract q

Example

x + t = q

t = 7

q = 36

x = t - q

36 -7 = 29

x = 29

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