Use the diagram to solve for x.

9 Find the values of r and y. с A 95° B 4x ro D E

Inga [223]

Answer:

x = 18°, y = 167°

Step-by-step explanation:

In right triangle sum of two angles is 90°

4x + x = 90°
5x = 90°
x = 90°/5
x = 18°

Angle y is exterior angle and equals non-adjacent interior angles

y = 4x + 95° =
4*18° + 95° =
72° + 95° =
167°

4 0

2 years ago

Solomon can buy four sodas for $6 how much would 6 sodas cost

Bad White [126]

Answer:

6 soda's will cost $9.

Step-by-step explanation:

4 soda's costs $6.

Find the amount 2 soda's will cost. Divide 2 from both sides.

(4)/2 = 2

(6)/2 = 3

2 soda's will cost $3.

Now, solve for the cost for 6 soda's by multiply 3 to both sides.

2(3) = 6

3(3) = 9

6 soda's will cost $9.

~

7 0

3 years ago

Read 2 more answers

If the total area of a picture measuring 10 inches by 12 inches plus a matting of uniform width surrounding the picture is 224 s

ELEN [110]

Let
x-----------> uniform width surrounding the picture

we know that
(10+2x)*(12+2x)=224-----> 120+20x+24x+4x²=224
4x²+44x+120-224=0
4x²+44x-104=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
x=2 in

the answer is
2 inches

4 0

3 years ago

A machine is used to fill bags with sand. the average weight of a bag filled with sand is 22.3 pounds. Write an absolute value f

frutty [35]

Answer:

$y=f(x)=|x-22.3|$

Step-by-step explanation:

Let the weight of the bag of sand with an unknown weight be given as "x" pounds. Then, the difference between the weight of an average bag of sand which is given to be as 22.3 pounds, is given as $x-22.3$ . Therefore, the absolute value function describing the difference between the weight of an average bag of sand and a bag of sand with an unknown weight will be given as: $|x-22.3|$ .

Let us represent this by f(x) or y. And thus, we get:

$y=f(x)=|x-22.3|$

5 0

3 years ago

An animal shelter spends $3.00 per day to care for each cat and $6.50 per day to care for each dog. Amelia noticed that the shel

Ede4ka [16]

Answer:

There were 15 cats at the shelter on Friday.

Step-by-step explanation:

Cost of caring each cat = $3.00

Cost for caring each dog = $6.50

Total money spent by shelter = $84.00

Total Cats and Dogs in the shelter = 21

Let the number of cats in the shelter = k

So, the number of dogs in shelter = 21 -k

Also according to the question:

Total expenditure on cats + total expenditure on dogs = $84.00

or, k ($3.00) + (21-k)($6.50) = $84.00

or, 3k + 136.5 - 6.5 k = 84

or, -3.5 k = 84 - 136.5 = -52.5

⇒3.5 k = 52.5 or k = 52.5/3.5 = 15

⇒ k = 15

Hence, the number of cats in the shelter was 15 on Friday.

7 0

3 years ago