Mathematics High School

The measure of the sides of a
triangle are in the extended
ratio of 3:5:7. The perimeter
of the triangle is 45 in. What
are the measures of the three
sides?
a) 6, 16, 23
b) 8, 15, 22
c) 6,9,15
d) 3, 5, 7
e) 9, 15, 21

Answers

Answer 1

Answer:

e) 9, 15, 21

Step-by-step explanation:

First you multiply each number in the ratio by x and set it equal to the perimeter or 45 in this case.

3x + 5x + 7x = 45

Then you add the like terms and get

15x = 45

Solve for x

x = 3

Now multiply 3 by each number

3•3= 9

3•5= 15

3•7= 21

Answer: 9, 15, 21

Related Questions

Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ. What is the value of n? What is the measure of leg XY? ft What is the measure of leg XZ? ft

Answers

*the figure is shown in the attachment

Answer/Step-by-step explanation:

Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.

Find the value of n by creating an equation to solve for n:

XY = (9n + 12) ft

XZ = (15n - 6) ft

XY = XZ (2 equal lengths of isosceles ∆)

9n + 12 = 15n - 6 (substitution)

Combine like terms

9n - 15n = - 12 - 6

-6n = -18

Divide both sides by -6

-6n/-6 = -18/-6

n = 3

Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.

XY = (9(3) + 12) ft

XY = (27 + 12) ft

XY = 39 ft

Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.

XZ = (15(3) - 6) ft

XZ = (45 - 6) ft

XZ = 39 ft

Answer:

1st box: 3

2nd box: 39

3rd box: 39

Have a great day, remember to wear a mask! :)

V= 1/3lwh solve for w

Answers

Answer:

3V/l divide h

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

V = 1/3 lwh

The value of w is 3V/lh

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 = 4 is an expression.

We have,

V = 1/3 lwh

Multiply 3 on both sides.

3V = lwh

Divide both sides by lh.

3V / lh = w

w = 3V/lh

Thus,

V = 1/3 lwh

The value of w is 3V/lh

Learn more about expressions here:

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9) Draw a graph of the linear equation y= -2/-5x +3

Answers

To graph the line you would make your first point at (3,0) because that’s the y-intercept. From there you just go down 2 points and to the right 5 points and your next point should be (5,1). Then connect the two points with a line and you’re good to go!

34% x 79% pls help ill give brainliest

Answers

Answer:

0.2686

Step-by-step explanation:

It's basically just 34 times 79 lol

Answer:

0.2686

Step-by-step explanation:

Which is the simplest form of this algebraic expression?
-(6x + 2y) + 4(2x - y)

Answers

The simplest form of -(6x+2y)+4(2x-y) = -2(-x+3y).

Answer:

2x-6

Step-by-step explanation:

The first step is to distribute

The second step is to combine like terms and since its an expression you will not have a solution

Which of the following lines is parallel to x = 4? (2 points)
A.3y = 9
B.y = 4
C.X = 2
D.x=y

Answers

Answer:

x = 2

Step-by-step explanation:

x = 4 is the equation of a vertical line parallel to the y- axis

A line parallel to it must also be a vertical line with equation

x = c ( c is a constant )

The only equation of this form is

x = 2 ← parallel to x = 4

Integers on number lines

Answers

Integers can be represented on the number line. On a number line, the positive numbers are to the right of zero and the negative numbers are to the left of zero. An integer on the horizontal number line is greater than the number on its left and less than the number on its right.

an angles measure is 9 degrees more than 2 times the measure of its supplement. Find the measure of the angle

Answers

Answer:

The angle would be 123°.

A carpenter cuts a circle out of a piece of wood. The radius of the circle is
about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for

Answers

Answer:

830.53 in²

Step-by-step explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A = [tex]\pi[/tex]r²

Plug in 3.14 as pi, and plug in the radius:

A = [tex]\pi[/tex]r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²

Answer:

850.53 in² is the answer

The product of two
consecutive whole numbers is
132. What are the two
consecutive whole numbers?

Answers

Answer:

11 and 12

Step-by-step explanation:

x(x+1)=132

x^2+x=132

x^2+x-132=0

(x-11)(x+12)=0

x = 11 or x = -12

when x=11 ,

x+1=12

11*12=132

Please Help!

Subtract.

(2x^4−x^2+5x−2)−(−x^4+3x^3+2x^2−1)

Answers

Answer:

Heya!!

here's your answer

3x^4 − 3x^3 − 3x^2 + 5x −1

In 1999, Marks & Spencer, a British department store, created the biggest sandwich ever made. The tuna and cucumber sandwich was in the form of a triangular prism. Suppose each slice of bread was 8 inches thick. Find each measure to the nearest tenth. a. The surface area in square feet of the sandwich when filled b. The volume of filling in cubic feet to the nearest tenth

Answers

Answer:

A) 19.2 ft^2

B) 28.9 ft^3

Step-by-step explanation:

Thickness = 8 inches

Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal

lets assume the side = 10 inches  

lets assume the thickness as the height of the prism = 8 inches

Assume length of the rectangle(l) = 5 feet

A) The surface area of the sandwich triangular prism

total surface area = bh + 2ls + lb

                             = 10*8 + 2(5*10) + ( 5 * 10 )

                             = 80 + 100 + 50 = 230 inches = 19.2 ft^2

B ) The volume of filing in cubic feet to the nearest tenth

V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]  ------- 1

where : a = b = c = 10 inches

h = 8 inches

input the given values into the equation 1 above

V= 346.41 inches ^3  =  28.9 ft^3

 

What is the equation of the line that passes through the point (-1, -5) and has a
slope of -3?

Answers

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

If a system of linear equations has one solution, what does this mean about two lines?
Select all that apply.
a. Intersecting lines
b. No solution
c. One solution
d. Infinitely Many Solutions
e. (x,y)

Answers

D infinitely many solutions

In rhombus JKLM, if m

Answers

i’m generally confused on exactly what your asking for

I really don’t understand this question and I don’t know what to do

Answers

I would assume it is 0% for the minimum as there is a chance that rangers didn’t see anything and 65% for the highest as that is all the people that saw giraffe. I am really unsure though.

My second answer is minimum is 55.25% and the maximum is 65%. But once again I ain’t sure and logically I would go for my first answer

PLEASE HELP QUICK!!!!!

Answers

Answer:

C.

That is the closest answer since 8 times 10 6 times gets you 8 million.

Step-by-step explanation:

Answer:

C. 8×10⁶

Step-by-step explanation:

8,406,000 to nearest million is 8,000,000

8,406,000 = 8.406 × 10⁶

8,000,000 = 8 × 10⁶

Write the given equation in STANDARD FORM (slope standard form)

y = 2x + 3/7

Answers

Answer:

7y=14x+3 is your answer

The distance between point A(2,3) and point B(6,1) is ?

Answers

Answer:

[tex]2 \sqrt{5} [/tex]

decimal form: 4.47213595

Answer: 395 km

lol they want it to be 200 characters long what I look like ? Lol

convert 8/3 to a mixed number​

Answers

Answer:  2 & 2/3

============================================

Work Shown:

8/3 = (6+2)/3

8/3 = 6/3 + 2/3

8/3 = 2 + 2/3

8/3 = 2 & 2/3

The whole part is 2. The fractional part is 2/3.

-----------

Another way you could do the problem is to use long division as shown in the diagram below.

The result of the long division is

8/3 = 2 remainder 2

The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.

So that's another way to get 2 & 2/3

Solve for x. 0 = 2x² + 3x + 5

Answers

Answer: No real solutions.

Step-by-step explanation:

Pls help question is in the pic. Please give a right answer thx :D

Answers

Answer:

61.2

Step-by-step explanation:

Seth is trying to pay off his credit card. He plans to pay it off in 24 months. Interest on the card is compounded monthly at a fixed annual rate of 11.6%. Seth currently has a balance of $18,875 on his credit card. Use the formula for the sum of a finite geometric series to determine Seth’s approximate monthly payment.


A.

Seth’s approximate monthly payment will be $753.97.

B.

Seth’s approximate monthly payment will be $834.75.

C.

Seth’s approximate monthly payment will be $884.99.

D.

Seth’s approximate monthly payment will be $868.35.

Answers

Answer:

$884.99

Step-by-step explanation:

Just took the quiz and this was the right answer. :)

Answer:

884.99

Step-by-step explanation:

Please help asap!! Pretty simple if you understand I guess lol

Answers

Answer:

Step-by-step explanation:

the answer is 52

Answer:

angle z = 52

Step-by-step explanation:

solve for t

t+58=2t-12

t+70=2t

70=t

plug in the value of t in t+58

(70)+58

=128

note that angle y and z make supplementary angles, so

180-128

=52

Solve for x. Perimeter = 126 meters

Answers

Answer:

image or context?????

Step-by-step explanation:

Idek man I’m lost whereeeee

Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2

Answers

Answer:

y = 2x + 11

plug the values into y = mx+b:

3 = 2(-4) + b

solve, and you get

3 = -8 + b

b= 3+8 = 11

so, the equation is y = 2x+11

the answer is y= 2 x + 11

Help pls I need help

Answers

Answer:

3 3/7

Step-by-step explanation:

8/1 divided by 2 1/3 = 8/1 x 3/7

8/1 x 3/7 = 24/7

24/7 = 3 3/7

How do you make comparisons between an equation and a graph?

Answers

Answer:

here is a hint

Step-by-step explanation:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

For linear equation,

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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PLS help in this questions. Thanks !

Answers

Answer:

D

Step-by-step explanation:

You are given the two sides and the abgle inbetween.

Use the diagram to find the measures of all the angles, given that m< 1 = 76°

Answers

Answer:

m< 3 = 76°, m< 3 = 104°, m< 3 = 76°,

Step-by-step explanation:

360°

m< 1 = m< 3 → 76° (76°*2 = 152°)

360° - 152° = 208°

208°/2 = 104°

m< 2 = m< 4 → 104°

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