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Goshia [24]
2 years ago
5

Triangle △ABC is reflected across line n to create △ A'B'C', What is the measure of ∠C?

Mathematics
1 answer:
Ilya [14]2 years ago
6 0

The measure of ∠C is 54°.

<h3>To solve the problem :</h3>

let us assume that line n is a mirror.

∴ ∠A = ∠A' = 59°

∠B = ∠B' = 67°

∠C = ∠C'

According to property of triangles :

Sum of all angles of a triangle is 180°.

∴ A + B + C = 180°

59 + 67 + C = 180

C = 180 - (59 +67)

C = 54°

<h3>∴ The measure of ∠C is 54°.</h3>

To know more about triangles refer to :

brainly.com/question/1620555

#SPJ2

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The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, i
Zina [86]

Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

<em>200 * 3.78 is the same as 2 * 378, which is 756.</em>

756 - (200 * 2)

<em>200 * 2 is the same as 4 * 100, which is 400.</em>

756 - 400

<em>Subtract 400 from 756 to get 356.</em>

356

If they brought the pizza last week, the school could have saved $356.

3 0
3 years ago
Three consecutive integers sum to 6. What is the least of these integers?
dexar [7]

Answer:

The least of the three integers is 1.

Step-by-step explanation:

Hi there!

Let <em>x</em> be equal to the least of these integers.

Let <em>x</em>+1 and <em>x</em>+2 be the next consecutive integers.

We're given that these integers have a sum os 6.

We can use these to construct an equation:

(x)+(x+1)+(x+2)=6

Combine like terms:

x+x+1+x+2=6\\x+x+x+1+2=6\\3x+3=6\\3x=3\\x=1

Therefore, the least of these integers is 1.

The other two integers would be 2 and 3.

I hope this helps!

3 0
3 years ago
Calculate the monthly lease payment for a 36-month lease on a car with a $29,000 MSRP, a 79% residual value, and a money factor
Scrat [10]
<h3>Option A</h3><h3>The monthly lease payment for a 36-month lease on a car  is $ 358.64</h3>

<em><u>Solution:</u></em>

Given that,

MSRP of car = $29,000

Percentage of residual = 79% = \frac{79}{100} = 0.79

<em><u>Find residual value</u></em>

\text{Residual value } = \text{ MSRP } \times \text{ Percentage of residual } \\\\\text{Residual value } = 29000 \times 0.79 \\\\\text{Residual value } = 22910

<em><u>Find the depreciation amount</u></em>

Depreciation amount = cost - residual value

Depreciation amount =  29000 - 22910 = 6090

<em><u>Find Base monthly lease payment</u></em>

\text{Base monthly lease payment } = \frac{ \text{ Depreciation amount  }}{ \text{ number of months }}

\text{ Base monthly lease payment } = \frac{6090}{36} = 169.1667

<em><u>Find Interest per month</u></em>

\text{ Interest per month } = (cost + residual ) \times \text{ money factor }

\text{Interest per month } = (29000 + 22910) \times 0.00365= 189.4715

<em><u>Find monthly lease payment</u></em>

Monthly lease payment = Base monthly lease payment + Interest per month

Monthly lease payment = 169.1667 + 189.4715 = 358.6382 \approx 358.64

Thus monthly lease payment is $ 358.64

Option A is correct

5 0
3 years ago
Read 2 more answers
Are x and y for both of them proportional
Deffense [45]

Answer:

yes

Step-by-step explanation:

in 13, both x and y are increasing by 1 correspondingly, and, in 14, both sides are multiplying by 2 together.

8 0
3 years ago
What is the most accurate measurement of 1 mile
Alenkasestr [34]

Answer:

there are 5280  feet in a mile

Step-by-step explanation:

8 0
3 years ago
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