All categories

3 years ago

Given that triangle LMN is similar to triangle GJH, what is the value of x?

Mathematics

1 answer:

inysia [295]3 years ago

4 0

Answer:

x = 53

Step-by-step explanation:

Similar means that the corresponding angles are congruent (the same) - basically what this means is that ∠L ≅ ∠G, ∠M ≅ ∠J, and ∠N ≅ ∠H.

Since we know that the angle measures in a triangle should add up to 180 and we know the measures of ∠L and ∠M already, we can do

180 = 67 + 60 + N

So, N = 180 - (67 + 60) = 180 - 127 = 53.

Since ∠N ≅ ∠H, ∠H = 53.

You might be interested in

My question is <br><br> 4(2 - W) + w = 20

OLEGan [10]

Answer:

- 4

Step-by-step explanation:

Step 1:

4 ( 2 - w ) + w = 20 Equation

Step 2:

8 - 4w + w = 20 Multiply

Step 3:

8 - 3w = 20 Combine Like Terms

Step 4:

- 3w = 12 Subtract 8 on both sides

Answer:

w = - 4

Hope This Helps :)

3 0

3 years ago

Read 2 more answers

What is y=-3/4+2 in standard form

Elenna [48]

Right answer is
Y=5/4

5 0

3 years ago

Brendan worked 7 11/12 hours on Saturday, on Sunday he worked 84% of the hours he worked on Saturday. How many total hours do he

Vesnalui [34]

Answer:

$14\frac{17}{30}$ hrs

Step-by-step explanation:

Given parameters:

Time worked on Saturday = $7\frac{11}{12}$

Unknown:

Total hours he worked last weekend = ?

Solution:

Since Brendan worked 84% of the time he worked on Saturday on Sunday;

Time worked on Sunday = $\frac{84}{100}$ x $\frac{95}{12}$ = $\frac{133}{20}$

Total time worked last weekend = Time worked on Saturday + Time worked on Sunday;

Total time worked = $\frac{95}{12}$ + $\frac{133}{20}$

Total time worked = $\frac{475 + 399}{60}$

Total time worked = $\frac{874}{60}$

Total time worked = $\frac{437}{30}$ = $14\frac{17}{30}$ hrs

7 0

3 years ago

this year, 450 students are graduating from big lakes high school. of the graduates, 68% plan to got to collage next year, and 1

satela [25.4K]

54 students do not know what they're going to do after graduating

7 0

3 years ago

What is the measure of each exterior angle of a decagon?

NemiM [27]

The sum of all of the exterior angles of any regular polygon is 360 (I'm assuming by decagon you mean a regular dodecagon).

Because the total has to be 360, and a decagon has 10 sides, you divide 360 by 10 to get each exterior angle.

360 ÷ 10 = 36, so each exterior angle of a decagon is 36 degrees.

3 0

4 years ago