What is the unit rate for $15 for 4 quarts

Triangle MNP has vertices N(2, 2) and P(0, –2). The triangle is symmetric about the y-axis. What is the approximate measure of t

Evgesh-ka [11]

Point M of the triangle is (-2,2) to make triangle MNP as shown in the attached image

Triangle MNP has a base of 4 units and a height of 4 units. We can work out the angle x and angle y using trigonometry ratio

We use tan ratio to find both angles

$Tan (x) = \frac{opposite}{adjacent}$
$Tan(x)= \frac{4}{2}$
$Tan(x)=2$
$Tan^{-1}(2)=63.43494882$
$Angle x=63.43$

$Tan(y)= \frac{opposite}{adjacent}$
$Tan(y)= \frac{2}{4}$
$Tan^{-1}(0.5)=26.56505118$
$Angle y=26.6$

Angle MNP = Angle NMP = 63.43 degrees (this is based on the fact that the triangle is an isosceles triangle)

Angle MPN = 2×26.6 = 53.2 degrees (we multiply by 2 as angle y is only a half of angle MPN - as shown in the diagram)

3 0

3 years ago

Read 2 more answers

Point T has coordinates (-7, -3). If it's reflected across the line x = 2, what will be the coordinates of its image? A (7, -3)

anastassius [24]

B is the answer
just like the picture
( T' is not exact. it just shows the reflection)

8 0

3 years ago

Chris earns a fixed amount of money every month. At the end of 2 years, chris had earned $86,688. He earned $ each year. He earn

dmitriy555 [2]

Answer:

Chris earned $ 43,344 each year

Monthly Chris earns $ 3,612

Step-by-step explanation:

If you earn a fixed amount of money each month, for 2 years and one year you have 12 months, then 2 years equals 24 months.

To know how much you earn each month we divide the total amount earned in the two years between 24 months

I = $ 86,688 / 24

I = $ 3,612

Monthly Chris earns $ 3,612

To calculate what he earned each year we divided $ 86,688 / 2

I = $ 86,688 / 2

I = $ 43,344

Chris earned $ 43,344 each year

6 0

3 years ago

Picture 1: What is the value of x in this circle?

Hoochie [10]

Answer:

Picture 1 x = 43°

Step-by-step explanation:

Picture 1 - When a triangle is formed inside a semicircle, two lines from either side of the diameter meet at a point on the circumference at a right angle.

180 - 47-90= 43° = x

5 0

3 years ago

Factor –7x3 21x2 3x – 9 by grouping. what is the resulting expression?

MakcuM [25]

The resulting expression on factorization by grouping method is (3-7x²)(x-3).

<h3>What is Factorization?</h3>

Factorization is a method in which an Integer or an expression is written in terms of product of its fractions.

The expression given in the question is

–7x³ + 21x² + 3x – 9

This equation has to be factorized using grouping method.

group of two or more is formed and common term is taken out.

-7x² (x -3) +3(x-3)

( -7x²+3) (x-3)

(3-7x²)(x-3)

The resulting expression on factorization by grouping method is

(3-7x²)(x-3).

To know more about Factorization

brainly.com/question/24182713

#SPJ1

5 0

2 years ago