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Free_Kalibri [48]
3 years ago
7

What is the value of X? Make sure to show all of your work!

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0
Since this is a equilateral triangle all angles are equal to each other. All angles in a triangle always add up to 180 degrees.

So you would set up your equation like so
3(7x - 3) = 180
The 3 outside the parenthesis resembles the 3 angles.
You equal the equation to 180 since all the angles in a triangle = 180
So distribute the 3
21x - 9 = 180
Add 9 to both sides
21x = 189
Divide 21 on both sides
x = 9
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4. If your company purchases an annuity that will pay $50,000/year for 10 years at a 11% discount rate, what is the value of the
julsineya [31]

Answer:

The value of the annuity is $326,852.3766.

Step-by-step explanation:

Here is the required formula to find the present value of annuity:

We can find the present value of annuity:

PV = P + P (\frac{1-(1+r)^{-(n-1)} }{r})

Here:

            P = $50,000

            n = represents the number of number of periods

            r = 0.11

PV = 50,000 + 50,5000 (\frac{1-(1+0.11)^{-(10-1)} }{0.11})

PV = $326,852.3766

The value of the annuity is $326,852.3766 i.e. PV = $326,852.3766.

Keywords: discount rate,  present value of annuity

Learn more about present value of annuity from brainly.com/question/13218793

#learnwithBrainly

4 0
3 years ago
What is the length of the line?<br><br>a) 8<br>b)12<br>c)√60<br>d)√136​
muminat

Answer:

the answer is D

......

Step-by-step explanation:

.....

4 0
3 years ago
Jessica knows that she should spend no more than 1/3 of her income on her rent. She really wants to move into a condo downtown a
Nady [450]

Answer:

The solution is in the attached file

7 0
3 years ago
Use the distributive property to simplify 7(2a + 5).
tangare [24]
Distribute and Multiply
14a+35
3 0
3 years ago
Read 2 more answers
A rectangular field has dimensions of (2x-3) yards and (x+4) yards. the area of the field is 285 square yards. what are the leng
trasher [3.6K]

The area of a rectangle is given by the multiplication of its dimensions:

\text{Area} = \text{width} \times \text{length}

In this case, we have an exact value for the area, and two variable expressions for width and length. Let's replace the formula above with what we're given:

285 = (2x-3)(x+4)

If you expand the right hand side, you have

285 =  2 x^2+ 5 x-12

And if you move all terms to the right hand side, this becomes

0 =  2 x^2+ 5 x-297

This is a quadratic equation, since it is in the form ax^2+bx+c=0, where a = 2,\ b=5 \text{ and } c = -297

If you plug these values in the generic formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

you get

x = \dfrac{-27}{2} \text{  or  } x = 11

Let's see which dimensions they yield:

x = \dfrac{-27}{2} \implies 2x-3 = -30,\quad x+4 = \dfrac{-19}{2}

But the dimensions of a rectangle can't be negative, so we can't accept this answer.

The other solution yields

x = 11 \implies 2x-3 = 19,\quad x+4 = 15

So these are the dimensions of the rectangle

6 0
3 years ago
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