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tensa zangetsu [6.8K]
2 years ago
5

o 0 If a triangle has angle measurements of 60 and 70°, what is the measure of the third angle? What kind of triangle is this? A

cute, Right, or Obtuse? Explain how you solve this problem.​
Mathematics
1 answer:
denis-greek [22]2 years ago
6 0

Answer:

→ 50°

→ Acute triangle

Step-by-step explanation:

the measure of the third angle = 180 - (60 + 70) = 180 - 130 = 50°

<u><em>definitions</em></u>=======================================

<u><em>Acute angle</em></u> : it’s an angle that measures less than 90°.

<u><em>Acute triangle</em></u>: it’s a triangle with three acute angles.

………………………………………………………………………………………………

The measures of the angles in our triangle are respectively 60° , 70° , 50°

Thus ,it’s an acute triangle .

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Please convert the following numbers into SCIENTIFIC NOTATION This is for a pre-algebra assignment so please keep it simple but
Olin [163]

Your best option would be putting them into a scientific notation calculator, but I have done that for you.

1. 57,909,000=5.7909*10^{7}

2. 108,209,000=1.08209*10^{8}

3. 227,940,000=2.2794*10^{8}

4. 149,548,000=1.49548*10^{8}

5. 778,292,000=7.78292*10^{8}

6. 4,504,328,000=4.504328*10^{9}

7. 1,429,370,000=1.42937*10^{9}

8. 2,874,993,000=2.874993*10^{9}

I hope that helps. If you have any further questions on this or any other questions, just ask. I am here to help.

8 0
3 years ago
Lupe and her friends spend $20 on hot dogs and popcorn at a
vodomira [7]

Answer:

They buy 6 hotdogs and 5 popcorn

Step-by-step explanation:

Assume that they buy x hotdogs and y popcorn

∵ They buy a total of 11 hotdogs and popcorn

∵ The number of hotdogs is x and the number of popcorn is y

∴ x + y = 11 ⇒ (1)

∵ Hot dogs cost $2.50 each

∵ Popcorn costs $1.00 each

∵ They spend $20 on hot dogs and popcorn

→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20

∴ 2.5(x) + 1(y) = 20

∴ 2.5x + y = 20 ⇒ (2)

Now we have a system of equations to solve it

→ Subtract equation (1) from equation (2)

∵ (2.5x - x) + (y - y) = (20 - 11)

∴ 1.5x + 0 = 9

∴ 1.5x = 9

→ Divide both sides by 1.5 to find x

∴ x = 6

→ Substitute the value of x in equation (1) to find y

∵ 6 + y = 11

→ Subtract 6 from both sides

∴ 6 - 6 + y = 11 - 6

∴ y = 5

∴ They buy 6 hotdogs and 5 popcorn

8 0
3 years ago
Max invests some money in a savings bond.
Mars2501 [29]

Answer:

£5650

Step-by-step explanation:

The money max invested in the saving bond = x

After one year the intrest will be 2% of x

Amount = £5763

Amount = Principcal + Interest

= £5763 = x + 2% multiplied x

£5763 = x + 2x/100

= 50x/50 + x/50 = 5763

= 51x/50 = £5763

51x = 5763x50

51x = 288, 150

x = 288,150/51

x = 5650

So the money max invested = £5650

7 0
3 years ago
Use technology or a z-distribution table to find the indicated area.
katrin [286]
Approximately 70% of the visitors to the theme park are older than about 12.3.

A z-score of about -0.53 is position on the normal distribution for finding the amount above 30% (70%).

Therefore, we can write and solve the following equation:

(x - 15) / 5.2 = -0.53
x - 15 = -2.756
x = 12.244

The closest amount is 12.3.
8 0
3 years ago
Sebastian wanted to order pizzas for $7 each. The delivery charge is $3.50. He has $20.
docker41 [41]

Answer:

he can buy 2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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