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3 years ago

I’m horrible at geometry, help please?

Mathematics

2 answers:

Viktor [21]3 years ago

8 0

Answer:

13 inches

Step-by-step explanation:

First you have to solve for x. Here is what we know.

The perimeter is the sum of all of the sides of the triangle.

The perimeter is equal to 30 inches.

So if we add up all of the sides and set that equal to 30 then you can solve for x.

$30= (2x+3) + (x) + (4x-8)$

Then combine the like terms.

$30=2x+x+4x +3-8$

Then solve for x.

$30+5=7x\\\frac{35}{7} =x\\x=5$

Now that you know x you can plug it into the equation for the longest side.

$2x+3\\2(5)+3\\10+3\\13 inches$

Korvikt [17]3 years ago

4 0

Answer:

Longest side = 13 inches

Step-by-step explanation:

Perimeter of triangle = 30 inches

x + 4x - 8 + 2x +3 = 30

x + 4x + 2x - 8 + 3 = 30

7x - 5 = 30

7x = 30 + 5

7x = 35

x = 35/7

x = 5

Longest side is the hypotenuse.

Longest side = 2x + 3 = 2*5 + 3 = 10 + 3 = 13 inches

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X y

Darina [25.2K]

Answer:

Part 1) The rate of change is $\frac{17}{15}$

Part 2) The initial value is 68

Part 3) The function rule to the linear model is $y=\frac{17}{15}x+68$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{85-68}{15-0}$

$m=\frac{17}{15}$

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is $\frac{17}{15}$

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

$b=68$

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

$y=mx+b$

we have

$m=\frac{17}{15}$

$b=68$

substitute

$y=\frac{17}{15}x+68$

8 0

3 years ago

Factor x3 + x2! Thanks!

kogti [31]

To factor this take a common multiple. In this case, it is x^2:

x^2(x+1)

Hope this helped!

5 0

3 years ago

A man sold a small cottage at a loss of 5%.Had he sold it at a gain of 7%,he would have got Rs480 more.Find the cost price of th

NARA [144]

Answer:

Cost price of the cattage is Rs.6857.142857...

4 0

1 year ago

The perimeter of an isosceles triangle is 32 inches. If the base is longer than half of the two other equal sides by 2 inches, f

Leona [35]

Answer:

Step-by-step explanation:

Let equal sides of an isosceles triangle = a inches

Base = $\frac{1}{2}a+2$ inches

Perimeter = 32 inches

a + a + $\frac{1}{2}a+2$ = 32

$2a + \frac{1}{2}a+2 = 32\\\\\frac{2a*2}{1*2}+\frac{1}{2}a+2=32\\\\\frac{4a}{2}+\frac{1}{2}a+2=32\\\\\frac{5}{2}a+2 = 32\\\\$

Subtract 2 from both sides

$\frac{5}{2}a=32-2\\\\\frac{5}{2}a=30\\\\a=30*\frac{2}{5}\\\\a=6*2$

a = 12 inches

base = $\frac{1}{2}*12+2$

= 6 + 2

Base = 8 inches

6 0

2 years ago

Help plzzzzzzzzz????? asapp

Fiesta28 [93]

The two angles are a linear pair.
(Explanations down below!)

Linear pair angles must add up to 180 degrees. You can tell that the two angles add up to 180 degrees because they form a straight line (which is 180 degrees).

Complementary angles add up to 90 degrees. The two angles are not complementary because they do not form a 90 degree angle (right triangle, square in corner, like a L shape).

Vertical angles are opposite each other and are equal to one another. These angles are adjacent to each other and do not look similar.

6 0

3 years ago