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2 years ago

What is the answer to the questions

Mathematics

1 answer:

loris [4]2 years ago

7 0

<h3>Answer: x = 40</h3>

===================================================

Work Shown:

A+B+C = 180 ..... three angles of any triangle add to 180

(2x+10)+(x)+(2x-30) = 180

5x-20 = 180

5x = 180+20 .... adding 20 to both sides

5x = 200

x = 200/5 ... dividing both sides by 5

x = 40

This is the measure of angle B

We can stop here.

If you need to know the values of the other angles, then,

angle A = 2x+10 = 2*40+10 = 90
angle C = 2x-30 = 2*40-30 = 50

Then note how A+B+C = 90+40+50 = 90+90 = 180 which helps confirm our answer.

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Matilda always eats at least one of the following for breakfast: cereal, bread, or yogurt. On Monday, she is especially picky. I

Annette [7]

Answer:

Matilda eats Cereal on Monday.

Step-by-step explanation:

Breakfast options for Matilda are: Cereal (C), Bread (B) or Yogurt (Y).

<u>Condition 1:</u> If she eats cereal and bread she also eats yogurt.

Then Matilda's breakfast combination is: C + B + Y.

<u>Condition 2:</u> If she eats bread or yogurt, she also eats cereal.

Then Matilda's breakfast combination is: C + B or C + Y.

<u>Condition 3:</u> She never eats both cereal and yogurt.

Then Matilda's breakfast combination does not include is: C + Y.

<u>Condition 4:</u> She always eats bread or cereal.

Then Matilda's breakfast combination always includes is: C or B.

If Matilda eats bread (B) then according to Condition 2 she eats cereal (C) also. And since she eats both C and B she eats yogurt (Y) also.

But according to Condition 3 Matilda never eats both cereal and yogurt.

Hence she can never have all three for breakfast.

She cannot eat bread (B) alone [according to Condition 2], Matilda is left with only one option, i.e. Cereal (C).

Thus, Matilda eats Cereal for breakfast on Monday.

5 0

3 years ago

You are buying a party pack of chips for $14.50 with a 3% tax. How much do you pay in total?

myrzilka [38]

Answer:

Step-by-step explanation:

The answer is .50

6 0

3 years ago

Read 2 more answers

2/6, 5/12, 3/7, and 4/10. List least to most

olya-2409 [2.1K]

Turn them into percentages:
2/6=1/3=33.333%
5/12=42%
3/7=43%
4/10=2/5=40%

Now put them in order :)

2/6,4/10,5/12,3/7

7 0

2 years ago

Evaluate <br> 3a^2-5b+8 when a=-2 and b=3

iVinArrow [24]

3 (-2)^2 -5 (3)+8
3 (4)-5 (3)+8
12-15+8
-3+8=5
Hope this helps :)

6 0

3 years ago

Miguel bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $450 less than the desktop. He p

Stolb23 [73]

Answer

Find out the how much did each computer cost before finance charges .

To proof

Let us assume that the price of the desktop computer be x .

Let us assume that the price of the laptop computer be y .

As given

the laptop cost $450 less than the desktop.

than the equation is written

y = x - 450

As given

He paid for the computers using two different financing plans.

For the desktop the interest rate was 7% per year,

the laptop it was 5.5% per year.

The total finance charges for one year were $279.

7 % is written in the decimal form

$=\frac{7}{100}$

= 0.07

5.5 % is written in the decimalform

$= \frac{5.5}{100}$

=0.055

than the equation becomes

0.07x + 0.055y = 279

simplify the above

we get

70x + 55y = 279000

put y = x - 450 in the equation

we get

70x + 55 ( x - 450 ) = 279000

70x + 55x - 24750 = 279000

125x = 303750

$x = \frac{3037550}{125}$

x = $ 2430

put in the y = x - 450

y = 2430- 450

y =$ 1980

Therefore the desktop cost $ 2430 before finance charge.

the laptop cost $ 1980 before finance charge.

Hence proved

3 0

3 years ago

What is the answer to the questions​

What is the answer to the questions