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4vir4ik [10]
3 years ago
8

Given angle D= 60 degrees, determine the PERIMETER of triangle ABC.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

Answer:

15*(1+root(3))

Step-by-step explanation:

BD=5, BC=5*root(3), you can find it by using trigonometry.

  • AC^2+DC^2=AD^2

AC^2=300, AC=10*root(3)

  • AB^2+BC^2=AC^2

AB^2=225, AB=15.

Perimeter of ABC is AB+BC+CA=15+5*root(3)+10*root(3).

15(1+root(3))

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Given:

A figure of triangles.

To find:

Whether the triangles SPT and triangle QPR are similar.

Solution:

In triangle SPT and triangle QPR,

\angle PST\cong \angle PQR           (Given)

\angle SPT\cong \angle QPR           (Common angle)

In triangles SPT and triangle QPR, two corresponding angles are congruent. So, by AA property of similarity both triangles are similar.

\angle SPT\sim \angle QPR

Therefore, yes, the triangle SPT and triangle QPR similar. Option A is correct.

4 0
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Tom has been given 35 chores to complete today. This morning he finished 7 of them. How many chores does he now have left to do
Brut [27]
35-7 = \boxed{28}
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3 years ago
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DENIUS [597]

Answer:

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Step-by-step explanation:

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3 years ago
A large recipe calls for 3.18kg of sugar. Your bags of sugar are measured in pounds (lb). Remembering that 1kg=2.20462lb, how ma
evablogger [386]

Answer:

You will need to buy 5 1.50lb bags of sugar to make your recipe.

Step-by-step explanation:

This problem can be solved by consecutive rules of three.

A large recipe calls for 3.18kg of sugar. Your bags of sugar are measured in pounds (lb). Remembering that 1kg=2.20462lb

How many lbs of sugar you will need to buy?

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x = 3.18*2.20462

x = 7 lb

How many 1.50lb bags of sugar will you need to buy to make your recipe?

1 bag - 1.50 lb

x bags - 7 lb

1.5x = 7

x = \frac{7}{1.5}

x = 4.67

You will need to buy 5 1.50lb bags of sugar to make your recipe.

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