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3 years ago

In Triangle F G H, what is the measure of Angle H?

Mathematics

2 answers:

WINSTONCH [101]3 years ago

6 0

Answer:

69 degrees

Step-by-step explanation:

elixir [45]3 years ago

5 0

Answer:

69°

Step-by-step explanation:

The three interior angles in a triangle will always add up to 180°, so we have:

43°+x+(x-1)=180°

43°+2x-1°=180°

2x=180°-43°+1°

2x=138°

x=69°

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3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,

kherson [118]

Answer:

In 2030 Lane & Zack's house be worth $65,739.27.

Step-by-step explanation:

Here, as we know The value of property = $245,000

Rate of depreciation = 4% of its present value

Time = From 2016 to 2030 = 14 years

Now, here: Amount depreciated = -( COMPOUND INTEREST on the value)

<u> Step 1: CALCULATE THE COMPOUND INTEREST on P = $245,000</u>

$A = P(1 + \frac{r}{100} )^t\\\implies A = (245,000)(1 + \frac{4}{100} )^{14} = (245,000)(1 + \frac{4}{100} )^{14}\\=245,000 (\frac{104}{100} )^{14} = 424,260.73$

or, AMOUNT = $424,260.73

Now, AMOUNT = Compound I + Principal

⇒Compound I = A - P = $424,260.73 - $245,000 =$ 179,260

So, the amount of the house by which house depreciates = $ 179,260

⇒The depreciated value = Actual Value - The depreciated amount

= $245,000 - 179,260 = $65,739.27

Hence, in 2030 Lane & Zack's house be worth $65,739.27.

4 0

3 years ago

What is the area of the trapezoid?

mixer [17]

Answer:

42 Units :)

Step-by-step explanation:

6 0

2 years ago

Mai walked 1/8 of a 30 mile walking trail .How many did Mau walk?

AlekseyPX

Mai has walked 3.75 miles distance on the walking trail.

Step-by-step explanation:

Given,

Length of walking trail = 30 miles

Mai walked = 1/8 of the walking trail

Distance walked by Mai = $\frac{1}{8}*30$

Distance walked by Mai = $\frac{30}{8}\\$

Distance walked by Mai = 3.75 miles

Mai has walked 3.75 miles distance on the walking trail.

Keywords: distance, multiplication

Learn more about multiplication at:

#LearnwithBrainly

4 0

3 years ago

Joe and Sue were trying to calculate the square inches of paper needed to create a cone for the cotton candy. The radius

Feliz [49]

The correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

<h3>How to find the square inches of paper needed.</h3>

The square inches of paper needed A = surface area of cone + area of overlap

<h3>Surface area of cone</h3>

The surface area of the cone is given by A = πr[r + √(h² + r²)] where

r = radius of cone = 2 in and
h = height of cone = 6 in.

So, A = πr[r + √(h² + r²)]

A = π × 2 × [2 + √(6² + 2²)]

A = π × 2 × [2 + √(36 + 4)]

A = π × 2 × [2 + √40]

A = π × 2 × [2 + 2√10]

A = 2π[2 + 2√10]

A = 4π + 4π√10

<h3>The area of overlap</h3>

The area of overlap A' = wL where

w = width of overlap = 1/2 in and
L = slant height of cone = √(h² + r²)

So, A' = wL

A' = w[√(h² + r²)]

A' = 1/2[√(6² + 2²)]

A' = 1/2[√(36 + 4)]

A' = 1/2[√40]

A' = 1/2 × 2√10

A' = √10

So, the number of square inches of paper needed is A" = A + A'

= 4π + 8π√10 + √10

Since the number of square inches of paper needed is 4π + 4π√10 + √10

So, the correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

Learn more about surface area of cone here:

brainly.com/question/24979679

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7 0

2 years ago

PLEASE HELP I I WILL AWARD AS THE BRAINLIEST AND LET EVERYONE KNOW ABT YOU PLEASE HELP ME ASAP

Illusion [34]

Answer:

291.

Step-by-step explanation:

(x - 147) / 12 = 12

x - 147 = 144

x = 144 + 147

x = 291.

8 0

2 years ago