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3 years ago

M <N=...the scale factor is 2

Mathematics

1 answer:

aivan3 [116]3 years ago

7 0

We know that the sum of the internal angles in each triangle is 180°.

Therefore we have the equation:

$m\angle C+m\angle D+m\angle E=180^o$

substitute and solve:

$79+(6x+11)+(7x-14)=180\\(6x+7x)+(79+11-14)=180\\13x+76=180\ \ \ |-76\\13x=104\ \ \ |:13\\x=8$

We have

$m\angle N=3x+18$

substitute the value of x to the expression:

$m\angle N=3(8)+18=24+18=42$

Answer: m∠N = 42 degrees

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if the cost of a movie ticket now averages $11.50 , interpret the meaning of the expression 11.50(1.083)

LUCKY_DIMON [66]

I believe the correct expression is: 11.50(1.083)^t where t is the time.

Now, we are given that the average price of the ticket is $11.5
The given expression means that this average value is dependent on the variable t. Therefore, the average price of the ticket increases exponentially with the time with the rate of growth equals 1.083

Now, to better understand this, we will get the price of the ticket at different times:
At t = 1: price = 11.50(1.083)^1 = $12.4545
At t = 2: price = 11.50(1.083)^2 = $13.4882235
At t = 3: price = 11.50(1.083)^3 = $14.60774605
We can notice that the price of the ticket increases exponentially as the time increases.

Hope this helps :)

5 0

3 years ago

WILL GIVE EXTRA POINTS Assignment name: Segment Addition

rjkz [21]

Answer:

the measure of AB equals the measure of BC

2x+1=3x-4

4+1=3x-2x

5=x

BC=3x-4=3*5-4=15-4=11

AB=2x+1=2*5+1=10+1=11

AC=AB+BC=11+11=22

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

X^3=4 then the value of x=

Law Incorporation [45]

X≈1.5874
(Use the answer in the photo)

5 0

3 years ago

Read 2 more answers

Please help me ASAP

expeople1 [14]

Your equation would be:

y=15*0.06^x

7 0

3 years ago

Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. M

valkas [14]

Answer:

i. No, Maurice statement is wrong.

ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.

Step-by-step explanation:

Stephan's piece of wood measures; 18 inches in length and 12 inches in width.

Since the piece of wood has a shape of a rectangle,

the area of the piece of wood = length × width

= 18 × 12

= 216 square inches

According to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches.

The base has the shape of a square, so that;

the area of the base = length × width = $length^{2}$

= 1012 ×1012

= 1024144 squared inches

This shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.

5 0

3 years ago