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Oxana [17]
3 years ago
11

Find angle spt. Show your work. Hurry plssss!!!​

Mathematics
1 answer:
hammer [34]3 years ago
6 0

Answer:

13 degrees

Step-by-step explanation:

Since both angles (QPR and SPT) are angle f, angle SPR is 154 degrees, and angle TPQ is 180 degrees, you can subtract 154 from 180 and get 26. Once you get 26 degrees, divide it by 2 and you will get 13. This should be the answer. Thanks!

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7.7.4 Practice: Modeling: Similarity Theorems will give brainliest
Nimfa-mama [501]

Similar triangles may or may not be congruent

  • The height of the peak is 72 feet
  • The triangles are similar by AA similarity postulate

<h3>How to determine the similarity statement</h3>

First, we determine the height of the peak using the following equivalent ratios

P B :  B M = T F : F M

So, we have:

PB : 20ft= 6ft : 1ft\ 8in

Express the units in inches

PB : 240in= 72in: 20in

Express as fractions

\frac{PB}{240} = \frac{72}{20}

Multiply both sides by 240

PB = \frac{72 * 240}{20}

PB = 864

Express as feet

PB = 72 feet

So, the height of the peak is 72 feet

The ratio also means that the triangles are similar by AA similarity postulate

Read more about similar triangles at:

brainly.com/question/14285697

5 0
2 years ago
A $1,500 loan has an annual interest rate of 4 1/4% on the amount borrowed. How much time has elapsed if the interest is now $12
g100num [7]
$127.50=1,500(0.0425)*x

$127.50 = 63.75 *x

x =  \frac{127.50}{63.75}

x = 2

2 years elapsed.

hope this helps!


6 0
3 years ago
Read 2 more answers
the base of a cone has a radius of 6 centimeters. the cone is 7 cenimeters tall. what is the volume of the cone to the nearest t
HACTEHA [7]

Answer:

263.9 cm^3 to nearest tenth.

Step-by-step explanation:

V = 1/3 π r^2 h

= 1/3 π 6^2 7

= 12 * 7 π

= 84π

= 263.8938

4 0
3 years ago
In August 2016, Richard purchased and placed in service an office building costing $753,000, including $134,000 for the land. Th
Sonbull [250]
There is no depreciation schedule provided along with your question.

Assuming that the question makes us of the <span>Modified Accelerated Cost Recovery System (MACRS), which provides that </span>the useful life for non-residential real property is 39 years. Depreciation is straight line using the mid-month convention.

The mid-month convention means that the month of acquisition is calculated as half month irrespective of the date of acquisition.

Given that <span>Richard purchased and placed in service an office building costing $753,000, including $134,000 for the land in August 2016, the depreciable part is only the building, hence the depreciable cost is given by:

$753,000 - $134,000 = $619,000
</span>
<span><span>The depreciation charge for each year of the estimated life of the building is given by:

$619,000 / 39 = $15,871.79

</span>The depreciable period in 2016 is 4.5 months (i.e. September, October, November and December with August treated as half month).

</span>Therefore, the <span>amount of depreciation Richard may claim in 2016 is</span> given by:

(4.5 / 12) x $15,871.79 = $5,951.92.
5 0
3 years ago
Aaron, Sarah and Neil travel a distance of 54.25 miles on a road trip. Neil drives the car for the greatest distance. Of the rem
guapka [62]
Aaron + Sarah + Neil= 54.25
54.25-Neil =remaining distance

2/3 of remaining distance is drove by Sarah=18.4
1/3 of remaining distance is drove by Aaron=18.4/2=9.2

X = 54-(18.4+9.2) is the equation used

=54-27.6=26.4 miles is the answer
7 0
3 years ago
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