Does anyone know this one

Triangle ABC is formed by two parallel lines and two other intersecting lines. Find the measure of each angle A, B, and of the t

Mamont248 [21]

Answer:

A = 61°

B = 72°

C = 47°

Step-by-step explanation:

Well, first of all, we can see that:

$61^{\circ}+47^{\circ}+B^{\circ}=180^{\circ}$

So, we can find angle B.

$B=180^{\circ}-47^{\circ}-61^{\circ}$

$B=72^{\circ}$

Now, we can see to that angle C is just 47°

Finally, we know that the sum of all angles in a triangle is 180°, so we have:

$B+A+C=180^{\circ}$

$A=180^{\circ}-47^{\circ}-72^{\circ}$

$A=61^{\circ}$

I hope it helps you!

6 0

3 years ago

A man has 32 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 545 cents, how many d

inn [45]

A dime is worth 10 cents and a quarter is worth 25 cents.

Let D be the number of dimes and Q be the number of quarters.

Since the total amount of coins in the pocket is 32, then:

$D+Q=32$

On the other hand, the total value of D dimes is 10D, while the total value of Q dimes is 25Q. Then, the total value of D dimes and Q cuarters is 10D+25Q, which must be equal to 545. Then:

$10D+25Q=545$

Notice that we have found a 2x2 system of equations:

$\begin{gathered} D+Q=32 \\ 10D+25Q=545 \end{gathered}$

Solve the system using the substitution method. To do so, isolate D from the first equation and replace the expression for D into the second equation to obtain a single equation in terms of Q:

$\begin{gathered} D+Q=32 \\ \Rightarrow D=32-Q \\ \\ 10D+25Q=545 \\ \Rightarrow10(32-Q)+25Q=545 \\ \Rightarrow320-10Q+25Q=545 \\ \Rightarrow25Q-10Q=545-320 \\ \Rightarrow15Q=225 \\ \Rightarrow Q=\frac{225}{15} \\ \\ \therefore Q=15 \end{gathered}$

Replace back Q=15 into the expression for D to find the amount of dimes:

$\begin{gathered} D=32-Q \\ =32-15 \\ =17 \end{gathered}$

Therefore, the amount of dimes that the man has is 17.

7 0

1 year ago

Given two points (-3, 1) and (4, -1) are on a line. Write an equation in slope-

klio [65]

Answer:

y=-2/7x+1/7

Step-by-step explanation:

Find the slope first

-1-1/4+3

-2/7

m=-2/7

y=-2/7x+b

1=-2/7(-3)+b

b=1/7

4 0

3 years ago

Please help tell me what i put on estimate and product

ololo11 [35]

Answer:

You should have it right I checked the math the product is right and the estimate would mate sense so that should be right

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

How to find out how many number combinations if numbers cannot repeat?

Scrat [10]

It is simple and easy to find out about how many number combinations there are if numbers cant repeat you simply look at which combinations that you are aiming for and find out the different type of ways that you can do to get that same equal numbers that you were hoping to find is simple like 1 + 9 = 10 as same as 5 + 5 =10 its not that hard. HOPE THIS HELPS!!!

5 0

3 years ago