calculate the length of the legs of an isosceles triangle.The base is less than the other congruent legs by two units.The perimeter of the triangle is 22 meter .

Answer:

PQ measures 36 units.

Step-by-step explanation:

Line RS bisects segment PQ at R. By the definition of a bisector:

[tex]\displaystyle PR = RQ[/tex]

Hence:

We are given that RQ = x + 9 and RP = 2x, and we want to determine PQ.

Solve for x. Substitute:

[tex]\displaystyle (2x) = (x+9)[/tex]

Hence:

[tex]\displaystyle x = 9[/tex]

PQ is given by:

[tex]\displaystyle PQ = PR + RQ[/tex]

Since PR = RQ:

[tex]\displaystyle PQ =2PR[/tex]

Substitute and evaluate:

[tex]\displaystyle \begin{aligned} PQ &= 2PR \\ &= 2(2x) \\ &= 4x \\ &= 4(9) \\ &= 36 \end{aligned}[/tex]

Hence, PQ measures 36 units.

Answer:

$35.50

Step-by-step explanation:

With a 20% profit then $42.60 represents 120%

We require to find the cost price represented by 100%

Divide the amount by 120 to find 1% then multiply by 100, that is

cost price = [tex]\frac{46.60}{120}[/tex] × 100 = $35.50

Answer:

3/14

Step-by-step explanation:

5/7 = 10/14

1 - 10/14 - 1/14 = 1 - 11/14 = 3/14

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

r = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given the proportional equation

y = rx ← r is the constant of proportion

Divide both sides by x

[tex]\frac{y}{x}[/tex] = r

Use any ordered pair from the table.

Using (8, 2 ) , then

r = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

1/4

Step-by-step explanation:

Multiplying the input (x) by (1/4) results in the output.  This is direct proportion, and the constant of proportionality is (1/4).

Step 1 : F

Step 2 : C

Step 3 : B

Step 4 : E

Step 5 : D

Step 6 : A

Answer:

Answer:

Step-by-step explanation:

1st expression:4a(a-b)

2nd expression:9a(a-b)

So L.C.M=a(a-b)4×9

=36a^2-36ab

Answer:

The Equation of the Line that Passes through the Points (2, −1) and (4, 5) is 3x - y - 7 = 0.

Answer:

Its D) 790.6

Step-by-step explanation:

All I can say is that I aced the test so.

The answer to the question what is the magnitude of Levi's effort is D 790.6 N

Since Gary is pulling due East with a force of 650 Newtons, June is pulling due North with a force of 450 Newtons, the force due to Levi will be equal to the resultant force from Gary and June.

Since both Gary and June pull due East and due North respectively and these directions are perpendicular to each other, their resultant force is

R = √[(650 N)² + (450 N)²]

R = √[422500 N² + 202500 N²]

R = √[625000 N²]

R = 790.57 N

R ≅ 790.6 N

Since the resultant force due to Gary and June is 790.6 N, this is equal to the magnitude of Levi's effort since the knot does not move.

So, the magnitude of Levi's effort is 790.6 N

So, the answer to the question what is the magnitude of Levi's effort is D 790.6 N

Learn more about magnitude of resultant force here:

https://brainly.com/question/21444383

Answer:

[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ put \: n = 2 \\ t2 = 2 \\ put \: n = 3 \\ t 3 = 2 \\ for \: all \: n \: \: values \: t = 2 \\ thank \: you[/tex]

Answer:

(7/12) + (4q/6)

Step-by-step explanation:

[tex] \frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3} \\ = \frac{11}{12} + \frac{4}{6} q - \frac{1}{3} \\ = \frac{11}{12} - \frac{1}{3} + \frac{4}{6} q \\ = \frac{11}{12} - \frac{4}{12} + \frac{4}{6} q \\ = \frac{7}{12} + \frac{4}{6} q[/tex]

Answer:

Step-by-step explanation:

Like terms have same variable with same power.

(11/12  and 1/3 are like terms)  & (-1q/6 & 5q/6 are like terms}

[tex]\dfrac{11}{12}-\dfrac{1}{6}q+\dfrac{5}{6}q-\dfrac{1}{3}=(\dfrac{11}{12}-\dfrac{1}{3})-\dfrac{1}{6}q+\dfrac{5}{6}q\\\\=(\dfrac{11}{12}-\dfrac{1*4}{3*4})+[\dfrac{-1+5}{6}]q\\\\=(\dfrac{11}{12}-\dfrac{4}{12})+\dfrac{4}{6}q\\\\=\dfrac{(11-4)}{12}q+\dfrac{4}{6}q\\\\=\dfrac{7}{12}+\dfrac{4}{6}q[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{9 + x + 1 + 2x}[/tex]

[tex]\huge\text{= 9 + 1x + 1 + 2x}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{= (9 + 1) + (1x + 2x)}[/tex]

[tex]\huge\text{= 10 + 3x or 3x + 10}[/tex]

[tex]\huge\text{Answer: \textsf{3x + 10}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

mean=12

Step-by-step explanation:

soln:

given,

17,1,16,16,7,19,3,17

X=17+1+16+16+7+19+3+17

=96

N=8

Now,

[tex] \: mean = \frac{summation \: x}{n} [/tex]

[tex] = \frac{96}{8} [/tex]

=12

therefore, Mean=12

hope you understand it

Answer:

The coordinates of A are (1, -4)

Step-by-step explanation:

The formula for finding a midpoint is ((x1 + x2) / 2, (y1 + y2) / 2)

However, in this problem, we're already given the midpoint.  We're trying to find an endpoint.  So, the equation changes into:

((x + 9) / 2 = 4, (y + 0) / 2 = -2)

For the x and y coordinates, multiply both sides by 2

(x + 9 = 8, y = -4)

(x = -1, y = -4)

Rewrite as coordinates.

(-1, -4)

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

Welcome to Brainly! I'm happy to help!

We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.

A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.

This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!

1,610×1,000=1,610,000 (one million six hundred and ten thousand!)

Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.

1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)

So, Tobias ran 4,830,000 millimeters!

Have a wonderful day and keep on learning! :D

Answer:

The property is the neutral element, in this case, it's the 0

The equation is justified using the additive inverse property of real numbers. The equation [tex]\(x + (37 + (-37)) = x + 0\)[/tex] is justified by the additive inverse property of real numbers.

According to the additive inverse property, for any real number a, there exists another real number -a such that their sum is equal to zero:

[tex]\(a + (-a) = 0\)[/tex]

In the given equation, 37 and -37 are additive inverses of each other, meaning [tex]\(37 + (-37) = 0\).[/tex] Therefore, the equation simplifies to:

[tex]\(x + (37 + (-37)) = x + 0\)\(x + 0 = x\)[/tex]

So, the equation is justified using the additive inverse property of real numbers.

To know more about equation:

https://brainly.com/question/8651602

#SPJ3

Answer:

The mean means there are as many points below as above the mean point. Adding pairs of points to the left and right of the mean does not change the mean since the count on the left and right change at the same rate.

Step-by-step explanation:

Answer:

M= 3.535

Step-by-step explanation:

Look at the line t then divide by 2

Answer:

Step-by-step explanation:

The standard form of this exponential function is

[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is

[tex]y=490(.2)^x[/tex]

Hi :)

-3(3a + 2) + 3

-9a -6 + 3

-9a -3

Answer:

step 1. Subtraction Property Of Equality

step 2.Associative Property Of Equality

step 3.Division Property Of Equality

Answer:

C

Step-by-step explanation:

y=kx or xy=k are true such that k=0.3

in C, 1.2=4*0.3, 2.4=8*0.3, and 3.9=13*0.3, so C follows this rule

Answer:

No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!

Step-by-step explanation:

Hope this helps :)

Answer:

[tex]\frac{38}{125}[/tex]

Hope this helped! Also, it would really help me out if you gave me a Brainliest. It boosts my confidence and makes my day! Would really appreciate! Thank you! (Also, if the answer is wrong, please tell me and I will check as fast as I can)

Step-by-step explanation:

4-2x+8/3 = 6x+15/2

12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)

20-2x/3=6x+15/2

Do cross multiplication

2(20-2x) = 3(6x+15)

40-4x=18x+45

-4x-18x=45+40

-22x= 85

-x= 85/22

x= - 3.86..

hope it helps

Answer:

EF ≈ 18.68

Step-by-step explanation:

Based on the info I am given I believe they are asking for the distance between E and F (i think you wrote B by mistake). (d = distance)

d =√ (x2 - x1)² + (y2 - y1)²   -->   (this is the distance formula)

d =√ (11 - (-7))² + (3 - (-2))²

d =√ (18)² + (5)²

d =√ 324 + 25

d =√ 349

d ≈ 18.68

Answer:

x  = 4

Step-by-step explanation:

Let the number = x

x^3 = x^2 + 48

x^3 - x^2 - 48 = 0

The answer is 4, but I have no method of doing this rigorously. I can just show that it is true.

x^3 = 4^3 = 64

x^2 = 4^2 = 16

64 - 48 = 16

Answer:

y + 7 = 1/3 (x + 5)

Step-by-step explanation:

The format for writing a point-slope equation is:  y - y1 = m(x - x1).

Step-by-step explanation:

[tex]y - y1 = m(x - x1)[/tex]

where, m = 1/3, x1 = -5 and y1 = -7

[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]

[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]

[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]

[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]

[tex]y = \frac{1}{3} (x + 26)[/tex]