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3 years ago

Assume you are given two right triangle with congruent hypotenuses and wish to show that they are congruent

1 answer:

7 0

If you can find one leg of a triangle to be congruent to a leg on the other triangle, then you can use the HL (hypotenuse leg) theorem. If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

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In AEFG, e = 9.8 cm, f = 3 cm and G=167º. Find the length of g, to the nearest 10th

sveta [45]

Answer:

g = 12.7 cm

Step-by-step explanation:

Here, we want to find the length of the side g

To do this, we shall employ the use of the cosine rule

Mathematically, by using the general form of the rule, we have it that ;

g^2 = e^2 + f^2 -2efCosG

So we have;

g^2 = (9.8)^2 + (3)^2 - 2(9.8)(3) cos 167

g^2 = 162.33

g = √162.33

g = 12.7

8 0

3 years ago

7 x 3/4 HURRY HELP MEEE

seropon [69]

Answer:

5.25

Step-by-step explanation:

7*.75=

5.25

6 0

3 years ago

Lucia measured the high school and made a scale drawing. The scale she used was 2 centimeters : 3 meters. The parking lot is 54

Klio2033 [76]

Answer: The parking lot in the drawing is 36 centimeters.

Step-by-step explanation:

Given: Actual width of parking lot = 54 meters

The scale she used was 2 centimeters : 3 meters.

i.e. 3 actual meters = 2 centimeters on drawing

⇒ 1 actual meter = $\dfrac23$ centimeters on drawing

⇒ 54 actual meters = $54\times\dfrac23$ centimeters on drawing

⇒ 54 actual meters = 36 centimeters

Hence, the parking lot in the drawing is 36 centimeters.

3 0

3 years ago

Khalil took a train from San Francisco to San Jose, which is a distance of 54 miles. The train took 45 minutes for the trip. wha

Mariana [72]

To find the average speed in miles per hour, you can find the number of miles Khalil traveled per minute and then multiply that by 60 to convert it to hours.

54 miles/45 minutes = 1.2 miles per minute

1.2 x 60 = 72 miles per hour.

Khalil traveled at an average speed of 72 miles per hour.

4 0

4 years ago

A sports store sells 42 pairs of running shoes per day for $ 10.00 each. The owner estimates that for each $ 2.00 increase in pr

Setler [38]

Answer: $26

Step-by-step explanation:

Let the number of $2 price increases be x.

This means that if the price is 10+2x, 42-2x shoes are sold.

So, the revenue is (10+2x)(42-2x).

To maximize profit, we must maximize revenue.

$(10+2x)(42-2x)\\\\=-4x^2 +64x+420$

The maximum is at $x=-\frac{64}{2(-4)}=8$ , so the price should be 10+2(8)=$26.

8 0

1 year ago