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kondor19780726 [428]
3 years ago
11

Anyone know this geometry question?

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0
Given:
  ∠JEK + ∠DFH = 90°

Find:
  relationship, if any, of ∠JEK to angles CFL, HFG, LFE

Solution:
  We note that ∠DFG = 90° = ∠DFH + ∠HFG, so ∠JEK ≅∠HFG.
  We also note that ∠HFG and ∠CFL are vertical angles, so ∠JEK ≅∠CFL.
  And ∠LFE and ∠DFH are vertical angles, so ∠JEK + ∠LFE = 90°.

Evaluating the choices, we find
  A) false. The angles are not complementary, they are equal.
  B) false. The angles are not equal, they are complementary.
  C) false. The angles are not supplementary, they are equal.
  D) TRUE. The angles are equal.

The appropriate choice is ...
  D) 
 ∠JEK ≅∠CFL
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Use the slope of the given line to construct a parallel line
Troyanec [42]

Answer:

y = - \frac{4}{3} x - 7

Step-by-step explanation:

Parallel lines have equal slopes.

Calculate the slope m of the given line using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line

m = \frac{-2-2}{3-0} = - \frac{4}{3}, thus

y = - \frac{4}{3} x + c ← is the partial equation

To find c substitute P(- 3, - 3) into the partial equation

- 3 = 4 + c ⇒ c = - 3 - 4 = - 7

y = - \frac{4}{3} x - 7 ← equation of parallel line

6 0
3 years ago
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Rob 15 foot wire into 8 equal pieces .About how long is each piece?
Alexxx [7]
I think you can use division for this question: 15ft/8 pieces = 1.875 ft
8 0
3 years ago
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a museum employee surveys a random sample of 350 visitors to the museum. Of those visitors, 266 stopped at the gift shop. Based
Naddika [18.5K]

1748 people are expected to stop at the gift shop out of 2300.

Step-by-step explanation:

Given,

Number of random sampled people = 350

Number of people who stopped at shop = 266

Percentage = \frac{People\ stopped}{Total\ people}*100

Percentage = \frac{266}{350}*100=76\%

Therefore,

76% people would stop at the gift stop.

Number of people = 2300

Expected number = 76% of total

Expected number = \frac{76}{100}*2300

Expected number = 1748

1748 people are expected to stop at the gift shop out of 2300.

4 0
3 years ago
Please help
baherus [9]

Answer:

-11/4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-57)/(23-3)

m=-55/20

simplify

m=-11/4

Please mark me as Brainliest if you're satisfied with the answer.

3 0
3 years ago
Complete the equation of the line through (1,4)(1,4)left parenthesis, 1, comma, 4, right parenthesis and (2,2)(2,2)left parenthe
Ivahew [28]

Answer:

y = -2x + 6

Step-by-step explanation:

Given

(x_1,y_1) = (1,4)

(x_2,y_2) = (2,2)

Required

Determine the line equation

First, we calculate the slope (m) using

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{2-4}{2-1}\\

m = \frac{-2}{1}

m = -2

The equation is then calculated using:

y - y_1 = m(x - x_1)

y - 4 = -2(x - 1)

Open bracket

y - 4 = -2x + 2

y = -2x + 2 + 4

y = -2x + 6

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3 years ago
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