1. Construct the Isosceles triangle from given data below : Altitude = 55mm Perimeter = 135mm​

Answers

Answer 1

Answer:

  base: 22 37/54; sides: 56 17/108

Step-by-step explanation:

If we let x represent half the length of the base, and y represent the length of the side, then we have ...

  2x +2y = 135 . . . . . perimeter relation

  x^2 +55^2 = y^2 . . . . Pythagorean theorem relation

Solving for y and substituting into the second equation, we have ...

  y = 135/2 -x

  x^2 + 3025 = (67.5 -x)^2

  3025 = -135x +4556.25 . . . . . . expand, subtract x^2

  135x = 1531.25 . . . . . . . . . . add 135x -3025

  x = 1531.25/135 = 11 37/108

The length of the base is double this value, 22 37/54.

The length of each side is 67.5 -11 37/108 = 56 17/108.

__

Check

The perimeter is the base plus two side lengths:

  22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.

1. Construct The Isosceles Triangle From Given Data Below : Altitude = 55mm Perimeter = 135mm

Related Questions

constant of proportionly in the equation 3y = 2x

Answers

Answer:

Divide both sides by 22.

\frac{3y}{2}=x

2

3y

=x

2 Switch sides.

x=\frac{3y}{2}

x=

2

3y

Please help, im stuck
Solve 6[9 - (9x - 8)] + 3x = 0.

A. 2
B. -5/4
C. -32/47
D. 2/15
E. None of the above

Answers

Answer: 2

Step-by-step explanation:

distribute: 6 [ 9 − 9 + 8 ] + 3 = 0

add the numbers: 6 [ 1 7 − 9 ] + 3 = 0

rearrange terms: 6 [ − 9 + 1 7 ] + 3 = 0

distribute again: − 5 4 + 1 0 2 + 3 = 0

combine like terms:  − 5 4 + 1 0 2 + 3 = 0

Subtract  102  from both sides of the equation: − 5 1 + 1 0 2 − 1 0 2 = 0 − 1 0 2

simplify:− 5 1 = − 1 0 2

Divide both sides of the equation by the same term: -51x/-51 = -102/-51

simplify: 2

i hope this helps! ^^

Hey y’all can u please give me the correct answer.

Answers

Step-by-step explanation:

-8 - 6x < 1

Bringing like terms on one side

-6x < 1 + 8

-6x < 9

x < 9/-6

x < 3/-2

I think the correct answer is none

What is the expected value of X?


X 3 4 5 7 9
P 0.2 0.1 0.25 0.05 0.4

6.2
6.05
5.95
5.6

Answers

Multiply each X by its corresponding probability P, then add up them up.

E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4

⇒   E[X] = 6.2

PLEASE HELP 50 POINTS I WILL GIVE BRAINLIEST

Answers

Answer:

See image

Step-by-step explanation:

In both of these the words "more than" mean adding and not the symbol >

difference means subtracting

See image

Given: AC = 4DC, BC = 4EC
Prove: A = D​

Answers

Two triangles that are proportional to each other and have the same angle are similar.

Regan cycles 78 miles in 6 hours.
His average speed for the first 30 miles is 15 mph.

Work out Regan's average speed for the last 48 miles.

Answers

Answer:

12 mph

Step-by-step explanation:

First 30 miles while cycling at 15 mph. This means he spent 2 hours here.

Thus the 4 hours on the last 48 miles.

Average speed  =  distance / time

Average speed = 48 miles / 4 hours

Average speed = 12 mph

Therefore Regan's average speed is 12 mph for the last 48 miles.

Under stand place value

Answers

Answer:

What do you need help with?

Step-by-step explanation:

I'm confused because you didn't include a question.

How many degrees in 0.375
of a full turn?

Answers

Answer:

  135°

Step-by-step explanation:

A full turn is 360°, so 0.375 of a full turn is ...

  0.375 × 360° = 135° . . . . degrees in 3/8 turn

Over the summer, Regan started studying Russian with an app and completed 5 lessons. Now that school has started, she will work more slowly, completing 1 lesson per month.
Write an equation that shows how the total number of lessons Regan has completed, y, depends on how many months of the school year have passed, x.

Answers

Answer:

y=x+5

Step-by-step explanation:

if you mean how many she completed INCLUDING the 5 over the summer

Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.



3(y - 2) = 3y - 6 PLZZZZZZ HELPPP

Answers

3(y - 2) = 3y - 6

3y - 6 = 3y - 6

3y - 3y = - 6 + 6

0 = 0

It has ∞ solutions.

0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.

_____

Hope it helps ⚜

Answer:

Infinitely Many Solutions

Step-by-step explanation:

3(y - 2) = 3y - 6

3y - 6 = 3y - 6      Distribute 3.

0 = 0                    Combine the like terms.

Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.

Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.

What is the value of |-7| - |3|

Answers

Answer:

4 is the correct answer

Step-by-step explanation:

|-7| = 7

|3| = 3

7 - 3 = 4

On a map, 1 cm represent 250 km. How many kilometres does 7 cm represent?

Answers

Answer:

1750

Step-by-step explanation:

Just multiply 250 by 7. There are 250 km in 1cm, so in 7 centimeters, there will be 7 times as much as in 1 centimeter.

HELP! I need answers to every question

Answers

Ok done. Thank to me:>

i need help w this pls

Answers

Answer:

see explanation

Step-by-step explanation:

TQ and TR are perpendicular bisectors , so

QO = QN = 3.75

RP = OR = 3.4

The circumcentre T is equally distant from the triangle's 3 vertices, then

PT = QT = 4.5

what's 0.084507042 rounded

Answers

Answer:

i belive by rounding you get 1

Step-by-step explanation:

Hello! so is this correct? is 16.093 x 10 = 5,000? or278,300? please help me if you see this. Thanks.

Answers

Answer:

160.93

Step-by-step explanation:

I'm not that great at math so forgive me if I'm wrong, but from my knowledge the answer would be 160.93 since you're multiplying 16.093 to 10.

hope this helped! :)

What's the answer please help me!

Answers

Answer:

0.62

Step-by-step explanation:

10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:

1st move: 620 -> 62.0

2nd move: 62.0 -> 6.20

3rd move: 6.20 -> 0.62

Pentagon ABCDE and pentagon A’B’C’D’E are shown on the coordinate plane below:

Answers

the first one ((x+8, y+2), r x-axis)

For a friend who's struggling


"Omar and Deb each have a digital music player. Deb has 37 more songs on her player than Omar on his player. Write an expression in simplest form that represents the total number of songs on both players.

Will give brainliest!

Answers

varables:

O= omar songs\

S= total # of songs

equation:

2o+37= S

Hoped that helped:)

Leo wants his bowling mean to be at least 150. His scores are shown. 138, 157, 146, 129, 151

What is the lowest score for Leo’s mean to be 150.0?
(1 point)
121
146
154
179

Answers

The lowest score for Leo’s mean to be 150.0 is 179.

Mean can be described as the average of a set of numbers.

Mean = sum of number / total numbers

In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.

Sum of scores = 138 + 157 + 146 + 129 + 151 = 721

The second step is to determine the sum of scores when his mean is 150

Sum of scores when mean is 150 = 150 x 6 = 900

Least score = 900 - 721 = 179

To learn more about mean, please check: https://brainly.com/question/12528427

Answer:

179

Step-by-step explanation:

One it says he wants his score to be at least 150, and then it shows what his scores are which is;  138, 157, 146, 129, 151, then it gives the options of

121

146

154

an 179

then it says what is the lowest score for Leo's mean to be 150.0

and the lowest that it can be is the answer which is 179

Hope this helped, if yes pls put thanks :D

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

Answers

Answer:

11

Step-by-step explanation:

Givens:

AD = 8

AC = 4y - 28

y = ?

First we can see that AD and DC are equal.

-note AD and AC are not equal

But 2 times the length of AD should give you AC so.....

2 x length of AD = 16 = AC

We can use the equation:

16 = 4y - 28

Solve for y

16 + 28 = 4y

44 = 4y

y = 11

Therefore value of y is 11.

URGENT! WILL MARK BRAINLIEST!!

Write an inequality that represents the graph.

(it’s #4)

Answers

Answer:

x > 2

Step-by-step explanation:

Let x = unknown number

The dot is at 2.

The dot is also an open circle meaning that 2 is not included. When the dot is an open circle we use < or > rather than ≤ and ≥

The line is going to the right towards the larger numbers.

This means that the solution to the inequality is greater than 2.

This can be represented as x > 2

Answer: x >2

Step-by-step explanation: It has an open circle and is pointing in the greater than direction. Therefore, it is written as x >2 which reads x is greater than 2. Of course, you could use any variable (letter) that you wish to choose.

Hope this helps.

Best to you!

please help me!

ty :)

Answers

the slope would be 5 :) have a good day

Answer:

5

Step-by-step explanation:

The distance between the points in RISE/RUN is 10/2.

10/2 = 5. Your slope is 5

Hope that helps. Brainliest is appreciated

Simplify 3a(2a+7)-2a²

Answers

that’s is the answer to your question.
4a^2 + 21a is the answer

Can someone Please help me on this math problem

Answers

Answer:

2

Step-by-step explanation:

each time that x gains 1, y gains 2

2/1=2

How do I find the domain and range of this?

Answers

Step-by-step explanation:

identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

If f(x) = -3 and g(x) = 4x2 + x - 4, find (f+9)(x).
2
A.
X
-1
A. 4x2 + 2x-1
B. 4x2 +
-7
C. 4x2 +2x-1
7
X-1
D. 6x2 - 7

Answers

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) =

x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7

so, yes, B is the right answer.

PLSSSS HELP I WILL GIVE BRAINLIEST

Which statements are true about the ordered pair (7, 19) and the system of equations?

{2x−y=−5x+3y=22


Select each correct answer.


The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.

The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.

The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

The ordered pair (7, 19) is a solution to the system because it makes both equations true.

Answers

Answer: The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

Step-by-step explanation:

In the ordered pair (7,19), 7 is the x and 19 is the y. Plug those in and multiply.

2(7)-19=-5

-5=-5

7+3(19)=22

64 doesn't =22

SO, one part of the equation is wrong making the ordered pair wrong.

what is the equation of a line that contains points (5,3) and (0, -1)

Answers

Answer:

y = [tex]\frac{4}{5}[/tex] x - 1

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line

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