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Evgesh-ka [11]
3 years ago
13

Need help plz?????????!!!!!!

Mathematics
1 answer:
Llana [10]3 years ago
4 0

Answer:

93°

Step-by-step explanation:

By exterior angle theorem:

(4x + 9)° = 2x° + (3x - 12)°

(4x + 9)° = (2x + 3x - 12)°

(4x + 9)° = (5x - 12)°

4x + 9 = 5x - 12

4x - 5x = - 12 - 9

-x = - 21

x = 21

Measure of exterior angle

= (4x + 9)°

= (4*21 + 9)°

= (84 + 9)°

= 93°

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Pls help I’m really confused I’ll give you 35 pints
rjkz [21]

Answer:

The total payment is thus $35.75 plus $7.11, or $42.86

Step-by-step explanation:

Note that the sales tax doesn't affect the tip.  The sales tax is 5% of the cost and the tip is 15% of the before tax cost.  We calculate the tax and the tip separately, then add them together and finally add this sum to the cost.

Sales tax:  5% of $35.75:  $1.75

Tip:  15% of $35.75:  $5.36

Adding these two quantities results in $7.11.

The total payment is thus $35.75 plus $7.11, or $42.86

8 0
3 years ago
How to simplify 3 1/4 times 2 1/2 - 1 1/3.<br> Pls show your how you solved it pls, thx
Virty [35]

3 \frac{1}{4}  \times 2 \frac{1}{2}  - 1 \frac{1}{3}

\frac{13}{4}  \times ( \frac{5}{2}  -  \frac{4}{3} )

\frac{13}{4}  \times ( \frac{15}{6}  -  \frac{8}{6} )

\frac{13}{4}  \times  \frac{7}{6}

\frac{91}{24}

3 \frac{19}{24}

7 0
3 years ago
The diagonals of rectangle ABCD intersect at point E. If AE = 2x + 5, and BD = 5x + 2, what is AC?
Mkey [24]

<u>C. 42 units</u>

Step-by-step explanation:

I have attached a diagram to help you understand this problem. By looking at the diagram you can see that AE is half of BD, and that BD will be equal to AC. So we need to figure out the length of line BD to get AC.

To do this, you will multiply the length of AE by 2 and set it equal to BD.

2(2x+5)=5x+2

Then distribute, multiply what is in the parentheses by 2.

4x+10=5x+2\\\\

Subtract 4x from both sides.

10=1x+2

Subtract 2 from both sides.

8=1x

x = 8

Now that we have x, we can plug it into the equation to find BD.

5 * 8 + 2=42

BD is equal to 42 units, so we know...

<u><em>AC = 42 units</em></u>

4 0
3 years ago
Classify the system of equations
Lelechka [254]

Answer: Inconsistent.

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

y=mx+b

Where m is the slope and b is the y-intercept.

Solve for y from each equation:

Equation 1:

-\frac{1}{2} x = -6 - y\\\\y-\frac{1}{2} x = -6\\\\y=\frac{1}{2} x-6

Equation 2:

3+y= \frac{1}{2} x + 4\\\\y= \frac{1}{2} x + 4-3\\\\y= \frac{1}{2} x+1

A system of equations can be classified by its number of solutions.

You can observe that the slopes of both equations are the same but the y-intercepts are different, then these lines are parallel, which means that they do not intersect.

By definition, when to lines are parallel there is NO SOLUTION and the system is classified as "Inconsistent".

5 0
3 years ago
"the sum of d and 9.
ozzi

Answer:

d+9

Step-by-step explanation:

sum implies addition

so you would add d and 9

since d is a variable the most you can simplify is

d+9

6 0
3 years ago
Read 2 more answers
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