Similar triangles have congruent corresponding angles. True or false

A tractor trailer averages 6 miles per gallon fuel consumption. If the truck can hold 150 gallons of fuel, how many miles could

drek231 [11]

Answer:

The answer to your question is 900 miles

Step-by-step explanation:

Data

Consumption = 6 mi/gallon

total fuel = 150 gallons

number of miles = ?

Process

1.- To solve this problem use proportions and cross multiplication

6 miles ------------------ 1 gallon

x ------------------ 150 gallons

x = (150 x 6) / 1

-Simplification

x = 900 / 1

-Result

x = 900 miles

6 0

3 years ago

Read 2 more answers

I need help with this question in my math homework

Yakvenalex [24]

Answer:

∠CDE ↔ 50°
∠FEG ↔ 75°
∠ACB ↔ 55°

Step-by-step explanation:

To solve angle problems like this, you make use of three relations:

linear angles have a sum of 180°
angles in a triangle have a sum of 180°
vertical angles have the same measure

The attached diagram shows the measures of all of the angles of interest in the figure. The ones shown in blue are the ones that have the measures and names on the list of answer choices.

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A good place to start is with the linear angle pair at A. Since the sum of the two angles is 180°, the angle at A that is inside the triangle will be ...

180° -130° = 50°

Then the missing angle in that triangle at C will have the measure that makes the sum of triangle angles be 180°:

∠ACB = 180° -50° -75° = 55° . . . . . this is one of the angles on your list

Similarly, the angle at E inside triangle FEG will have a measure that makes those angles have a sum of 180°:

∠FEG = 180° -60° -45° = 75° . . . . . this is one of the angles on your list

__

The two angles whose measures we just found are vertical angles with the base angles in triangle CDE, so that triangle's angle D will have a measure that makes the total be 180°.

∠CDE = 180° -55° -75° = 50° . . . . . this is one of the angles on your list