Line PQ is parallel to line RS
∠MOQ=65°


What is ∠RTN=

The grocer should combine 2 lbs of the $1.75/lb trail mix with 3 lb of the $3.75/lb trail mix to get $2.95/lb trail mix.

A grocer is a retailer who sells food and household items. Grocery stores are typically stocked with a wide variety of products, including fresh fruits and vegetables, meat, dairy, bread, canned goods, frozen foods, and other packaged food items. Grocers may also offer non-food items such as cleaning products, health and beauty supplies, and pet supplies.

The total cost of the combined trail mix must be equal to the cost of the desired $2.95/lb trail mix. So, we can set up the following equation:
1.75x + 3(3.75) = 2.95(x+3)
where x is the number of pounds of the $1.75/lb trail mix.
Solving for x, we get:
1.75x + 11.25 = 2.95x + 8.85
Subtracting 2.95x from both sides, and subtracting 8.85 from both sides, we get:
-1.2x = -2.4
Dividing both sides by -1.2, we get:
x = 2
So, the grocer should combine 2 lbs of the $1.75/lb trail mix with 3 lb of the $3.75/lb trail mix to get $2.95/lb trail mix.

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Answer:

In an isosceles right triangle, the equal sides make the right angle. ... Therefore each of those acute angles is 45°.

Step-by-step explanation:

Answer:

2 of the angles must be the same measure and one of the angle must be different from them.

Step-by-step explanation:

if 2 angles are 50 then one of them must be 80

Answer:

6.8

Step-by-step explanation:

ggcsefhvse5gvcxdjk bcfhjbhhhhhhhhhiiijvzsd

Answer:

124.3

Step-by-step explanation:

explanation is in the picture

Answer:

x = 36.3

Step-by-step explanation:

Use sine

Sine 73 = x / 38

Sine of 73 is 0.956

Which means

0.956 = x / 38

Multiply 38 on both sides

36.328 = x

Round 36.328 to the nearest tenth

36.328 = 36.3

Answer:

6, 8, 10, 14, 15

Step-by-step explanation:

6(1,2,3,6)

8(1,2,4,8)

10(1,2,5,10)

14(1,2,7,14)

15(1,3,5,15)

Answer:

B. x-5

Step-by-step explanation:

Sister's height: x

Gavin's height: 5 in. less than his sister's height.

Answer:

16 = 216,  17 = 180,  18 = 252

Step-by-step explanation:

Hope this helps!

Answer:

16. A = 216 in.²

17. A = 180 cm.²

18. A = 252 cm²

Step-by-step explanation:

16. We want to split the triangle and square. We know that the triangle is a right triangle because its linear pair is 90°, which makes it also 90°.

Because this is a rectangle, opposite sides are congruent. So now we have the side measures of 12, 17, 12, and 17.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

17. We want to split the trapezoid and rectangle. This is a rectangle because it has four right angles.

Because this is a rectangle, opposite sides are congruent. So now we have the side measures of 20, 6, 6, and 20.

Now we can also prove that the bottom base of the trapezoid has a measure of 20 because of Reflexive Property.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

18. We want to split this hexagon into two rectangles. We know that they're rectangles because they have four right angles.

Remember, you can't assume that it's a square just because it looks like one. It is not to scale.

To find the length of the larger rectangle, we can add the separate measures of the side to find the total length.

Because it's a rectangle, we now have the measures of 12, 12, 18, 18.

Because the bottom side of the larger rectangle is 12 and the sum of both bottom sides of both rectangles is 18, that makes the bottom side of the second rectangle 6.

Because opposite sides of a rectangle are congruent, this rectangle is a square because it has four congruent sides and four right angles.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

Answer:

7 million

Step-by-step explanation:

If you use your finger and continue the graph you will get to 7.\.

Answer:

7 million

Step-by-step explanation:

Take 2 points of the graph

(3,3) and (6,4)

the numbers on the x axis are 3 and 6

the numbers on the y axis are 3 and 4

Everytime the x axis goes up by 3, the y axis goes up by 1

Therefore, the slope is [tex]\frac{1}{3}[/tex]

If you continue the slope, you would get (12,6) and then (15,7)

Answer:

$25.76

Step-by-step explanation:

$1.12×23ft=$25.76

Answer:

x < 7

Step-by-step explanation:

-8x + 40 > -16

-8x > -16 - 40

x < -56/-8

x < 7

(when changing sides of neg. multipliers, you need to change the sign side, dont fall for that common mistake)

Answer:

x < 7

Step-by-step explanation:

-8x + 40 > -16 (subtract 40 on both sides)

-8x > -56 (divide by -8) - be careful and don't forget to flip the sign when dividing by a negative number

x < 7 (final answer)

Answer:

A. 33.3%

Step-by-step explanation:

On a dice, we have the numbers 1, 2, 3, 4, 5, and 6. The question is asking for the probability of anything greater than 4. This means we're trying to find the probability of rolling a 5 or a 6 since those are the only numbers greater than 4 on a dice. We can write this as a fraction.

There are six numbers total, so that will be the bottom of our fraction. We have two numbers that are greater than 4. This means we will write our fraction like so:

[tex]\frac{2}{6}[/tex]

Next, we can simplify the fraction by 2, leaving us with 1 over 3, like this:

[tex]\frac{2}{6} = \frac{1}{3}[/tex]

Finally, just divide the 1 by 3 to get 0.333, or 33.3% when you move the decimal two places to the right. Hope this helps!

Answer:

1/4

Step-by-step explanation:

There are 4 spaces after 0 so the spot in the 1st place would be 1/4.

Hope this helps! :)

Answer:

[tex]4<QR<14[/tex]

5, 6, 7, 8, 9, 10, 11, 12, and 13.

Step-by-step explanation:

We can use the triangle inequality. By the triangle inequality, the sum of any two sides of a triangle must be greater than the remaining side.

In other words, the sum of the two shorter sides must be greater than the longest side.

We know that PQ is 5 and PR is 9.

For the first case, let's say that neither PQ nor PR is the longest side. Instead, QR is the longest side. Then their sum must be greater than QR. Thus:

[tex]5+9>QR\Rightarrow QR<14[/tex]

However, for the second case, let's say that QR is not the longest side. In this case, PR will be the longest side. Therefore, QR plus PQ must be greater than PR:

[tex]QR+5>9\Rightarrow QR>4[/tex]

Thus, we have a compound inequality:

[tex]4<QR<14[/tex]

Therefore, the possible whole-number lengths of QR are:

5, 6, 7, 8, 9, 10, 11, 12, and 13.

Answer:

Money before spending on lunch = 36 dollars

Step-by-step explanation:

Let the total money be X

Money spent on lunch [tex]\frac{2}{5} X[/tex]

Money received from friend [tex]= 5.50[/tex] dollars

Money spent movie ticket [tex]= 9.75[/tex] dollars

Money spent on snacks [tex]= 4.50[/tex] dollars

Money left [tex]= 12.65[/tex] dollars

[tex](X - \frac{2}{5}X- 9.75 -4.50+5.5) = 12.65[/tex]

[tex]\frac{3}{5} X[/tex] [tex]= 12.65 + 9.95 +4.50 -5.5[/tex] [tex]= 21.6\\[/tex]

X [tex]= 36[/tex]

Money before spending on lunch = 36 dollars

Answer: 206

Step-by-step explanation:

Step-by-step explanation:

Which one is the height?¿

The formula is

b1+b2 divided by 2 times the height

That's the best I can do for you atm atleast.

Answer:

4:29

Step-by-step explanation:

Answer:

b = 12.6

Step-by-step explanation:

a*2 + b*2 = c*2

6*2 + b*2 = 14*2

36 + b*2 = 196

Subtract 36 from both sides

36 + b*2 = 196

-36             -36

b*2 = 160

Find the square root of both

b = 12.64911064  or 12.6

Answer:

d = √(x2-x1)²+(y2-y1)²

Step-by-step explanation:

ans is 5√65 units

Answer:

I would be 1/24,

I hope that helps!

Step-by-step explanation:

The answer is 59/60.

and in decimal form it would be, 0.983333

Step-by-step explanation:

y=5x+12 ....... eqn 1

3y+4X=150.....eqn 2

sub eqn 1 into 2

3(5x+12) + 4X = 150

15X+36 +4X=150

19X = 150-36

19X= 114

X= 6

Answer:

x-10

Step-by-step explanation:

you have to do what is in the parenthesis first. Do distributive property to

-(x-8)

-(x)-(-8)= -x+8

now you have 5-(3-x+8)

Do distributive property again

5-3+x-8

x-8+2

x-10

hope this helps ~D~

Answer:

your answer will be X−6

Step-by-step explanation:

hope it helps

have a nice day/night ^_^

Answer:

14 7/24

Step-by-step explanation:

There are two different denominators here:  6 and 24.  The LCD is 24, and so 8 5/6 becomes 8 20/24.

Then the SUM of the two given mixed numbers is:

8 20/24 + 5 11/24 = 13 31/24, or, when properly reduced, 14 7/24

Answer:

19/5 = 3 4/5 soils for each flower bed.

Step-by-step explanation:

Answer is 3 4/5 soils  in each flower bed.

Answer:

z=1.6 y=3.9 x=0.6

Step-by-step explanation:

Answer:

Divide the rectangle's area by 4 to get the area of one triangle

Step-by-step explanation:

The area of one triangle is one-quarter area of the rectangle.

We need to find the area of the triangle.

Since we have a rectangle, and there are 4 triangles in the rectangle. Also, each triangle is the same size.

Let

So, area of rectangle, A = area of 4 triangles

= 4 × area of one triangle, A'

= 4A'

A = 4A'

Making A' subject of the formula, we have

A' = A/4

So, the area of one triangle is one-quarter area of the rectangle.

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