Ask question

Ask question

All categories

2 years ago

13

I need help on #4 ASAP!!!!

1 answer:

kodGreya [7K]2 years ago

7 0

Hi there.

A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.

(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.

Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84;
One measurement is 84 degrees.

x = 40 is another measurement on its own.

Our measurements are:
56, 84, and 40.

Your corresponding answer choice is H.) 56, 84, 40.

I hope this helps!

You might be interested in

Can someone help me with this question please?

blagie [28]

Answer:

a) 96 = 3.57√h

b) h ≈ 723.11 m

Step-by-step explanation:

<h3>a)</h3>

The equation you want to solve is the model with the given values filled in.

D(h) = 3.57√h . . . . model

96 = 3.57√h . . . . . equation for seeing 96 km to the horizon

__

<h3>b)</h3>

We solve this equation by dividing by the coefficient of the root, then squaring both sides.

96/3.57 = √h

h ≈ 26.891² ≈ 723.11 . . . . meters above sea level

Dustin would need to have an elevation of 723.11 meters above sea level to see 96 km to the horizon.

8 0

1 year ago

What’s the answer??? (SOMEONE PLEASE HELP)

iragen [17]

Answer:

(-4, 3] U (3, 8]

Step-by-step explanation:

The first lines range is (-4,3]

(the round bracket is because the -4 not included ( clear circle) and the square on because the 3 is included in the range ( the filled circle))

second line - range is (3, 8]

So its (-4, 3] U (3, 8]

6 0

3 years ago

The owner of a used car lot wants to buy as many cars at an auction as he can while not spending more than $20,000. if he expect

IRISSAK [1]

Answer:

5 cars

Step-by-step explanation:

If the average of cost of a car is $4,000 there will be enough cash to buy 5 cars. 20,000 divided by 4,000= 5.

7 0

2 years ago

In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rat

monitta

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

$f(t) = 10000(0.9407)^t$

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

$f(t) = f(0)(1-r)^t$

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that $f(0) = 10000$ , thus:

$f(t) = 10000(1-r)^t$

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

$f(2) = 8850$

We use this to find 1 - r.

$f(t) = 10000(1-r)^t$

$8850 = 10000(1-r)^2$

$(1-r)^2 = \frac{8850}{10000}$

$(1-r)^2 = 0.885$

$\sqrt{(1-r)^2} = \sqrt{0.885}$

$1 - r = 0.9407$

Thus

$f(t) = 10000(1-r)^t$

$f(t) = 10000(0.9407)^t$

7 0

2 years ago

We want to determine which point is closer to the origin: M (1, -3) or N (7, 9)

Neporo4naja [7]

Answer: M(1, -3)

Step-by-step explanation: Put coordinates on graph

3 0

2 years ago