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Nady [450]
3 years ago
13

Item 3 Solve the equation. 6=−w86=−w8 w =?

Mathematics
1 answer:
djyliett [7]3 years ago
5 0
The answer is W=-86!
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I need help find the value of x
stiks02 [169]
From the picture, we see that there are two congruent sides. Therefore, following the Isosceles Triangle Theorem, if two sides in a triangle are congruent, then the angles opposite those sides are congruent. So, we know that the angles opposite of the congruent sides have an angle measure of x°. We are given the measure of the angle at the top vertex of 100°. Following the Triangle Sum Theorem, the three interior angles in a triangle must sum up to 180°. Therefore, we can create an Algebraic equation to solve for the two base angles that measure x°.

x+100+x=180

x=the base angle measures since they are congruent.

100+x+x=180

Community Property of Addition

100+2x=180.

Added x+x as like terms to = 2x.

100-100+2x=180-100

Subtraction of 100 from both sides to cancel it out and move it.

2x=80

Subtraction operation

2x/2=80/2

Divided by 2 to cancel it out on both sides and move it.

x=40°.

Therefore, the two base angles (angles opposite of the two congruent sides) are 40°.

2(40)+100=80+100=180.

So x=40
4 0
2 years ago
Suppose you deposit $2500 in a savings account that pays you 5% interest per year. (Calculator)
BARSIC [14]

Answer:

14.20669 years

Roughly 14 years and 2.5 months.

Step-by-step explanation:

Assuming this is compound interest.

The formula is A=P(1+\frac{r}{n})^{nt}

A= Final Amount

P= Principal Amount

r= Interest Rate

n= # of times interest is compounded per year

t= Time in years

We are looking for the times in years to double the money so

2500*2=5000

A=5000

P=2500

r=0.05

n=1

t=?

Lets solve for t .

Step 1.

Plug in our numbers into the compound interest formula.

5000=2500(1+\frac{0.05}{1}) ^{1*t}

Step 2.

Simplify the equation.

Evaluate 1+\frac{0.05}{1}=1.05

Evaluate 1*t=t

5000=2500(1.05) ^{t}

Step 3.

Divide both sides of the equation by 2500

\frac{5000}{2500}=1.05 ^{t}

Evaluate \frac{5000}{2500}=2

2=1.05 ^{t}

Step 4.

Take the natural log of both sides of the equation and rewrite the right side of the eqaution using properties of exponents/logarithms.

ln(2)=t*ln(1.05)

Step 5.

Divide both sides of the equation by ln(1.05)

\frac{ln(2)}{ln(1.05)}=t

Step 6.

Evaluate

t=14.20669

Roughly 14 years and 2.5 months.

4 0
2 years ago
PLEASE HELPPPPPPPPPPPPP
ExtremeBDS [4]

Answer:

Geometric sequence

Step-by-step explanation:

6 0
3 years ago
You want to get new carpet for a square room that has an area of 150 square feet. You can only order carpet using dimensions to
Anna11 [10]
A=s^2, where s is a side length, and we are told A=150ft^2 so:

s^2=150

s=√150

s≈12.25 ft

So you would need a piece of carpet 13ft by 13ft
6 0
3 years ago
Read 2 more answers
250+8% <br> please explain
Montano1993 [528]
The answer is 270 because 250 + 8% = 270
6 0
4 years ago
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