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S_A_V [24]
3 years ago
12

Which relationship is always true for the angles RXY and Z or the triangle ABC

Mathematics
1 answer:
aksik [14]3 years ago
8 0

Answer:

the answer is

x + y + z = 180 degrees

proof

the sum of all angles in the triangles is always equal to 180 degrees

Step-by-step explanation:

You might be interested in
Tammy has 35 coins nickels and quarters. In all she has $4.15. How many of each kind of coin does she have
sergey [27]

The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: <u><em>dimes, nickels, pennies, and quarters.</em></u>

Tammy has 23 nickels and 12 quarters.

Let's represent the number of:

Nickels = n

Quarters = q

It is important to note that the value of:

<em>1 nickel = $0.05</em>

<em>1 quarter = $0.25</em>

<em />

Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:

n + q = 35

This can be rewritten as :

n = 35 - q

In all, she has $4.15. This statement can be represented using an algebraic equation below:

0.05n + 0.25q = 4.15

We substitute 35 - q for n in the above equation.

0.05(35 - q) + 0.25q = 4.15

1.75 - 0.05q + 0.25q = 4.15

Collect like terms

- 0.05q + 0.25q = 4.15 - 1.75

0.2q = 2.4

Divide both sides by 0.2

0.2q/0.2 = 2.4/0.2

q = 12

Therefore, the number of quarters Tammy has is 12.

Solving for the number of nickels, we have the equation:

n = 35 - q

n = 35 - 12

n = 23

Therefore, the number of nickels Tammy has is 23.

To learn more, visit the link below:

brainly.com/question/13312288

8 0
3 years ago
Mr. Rodriguez bought 6 liters of diet soda. His two sons will drink the same amount each day and finish the diet soda in 4 days.
iVinArrow [24]

Answer:

6÷3÷4= 0.75

Step-by-step explanation:

Each son will drink 0.75 liters of soda everyday to finish 6 liters of the soda in 4 days

7 0
3 years ago
Read 2 more answers
A cone and its dimensions are shown in the diagram. What is the volume of the cone in cubic inches?
Vinvika [58]

Answer:

The exact value of the volume is equal to

V=19\frac{397}{512}\pi\ in^{3}

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

D=5\frac{5}{8}\ in

convert to an improper fraction

D=5\frac{5}{8}\ in=\frac{5*8+5}{8}=\frac{45}{8}\ in

r=(45/8)/2=\frac{45}{16}\ in

h=7\frac{1}{2}\ in=\frac{7*2+1}{2}=\frac{15}{2}\ in

substitute in the formula of volume

V=\frac{1}{3}\pi (\frac{45}{16}^{2})(\frac{15}{2})=\frac{30,375}{1,536}\pi\ in^{3}

Simplify  

\frac{30,375}{1,536}=\frac{29,184}{1,536}+\frac{1,191}{1,536}=19\frac{397}{512}

substitute

V=19\frac{397}{512}\pi\ in^{3}

4 0
3 years ago
Solve the equation 25=7+r
anyanavicka [17]

Answer:

r = 18

Step-by-step explanation:

Subtract the seven from both sides

25 -7 = 7 - 7 + r

18 = r

Simple as that!

Hope this helps!

8 0
3 years ago
Enter an equation in standard form to model the linear situation. A bathtub that holds 42 gallons of water contains 12 gallons o
Leokris [45]

Answer:

5x+12y= 42

Step-by-step explanation:

6 0
2 years ago
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