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geniusboy [140]
2 years ago
9

Triangle DEF, with vertices D(9,-8), E(8,-3), and F(2,-5), is drawn inside a rectangle,

Mathematics
1 answer:
dusya [7]2 years ago
8 0

The area of the triangle DEF is 2 square units

<h3>How to determine the area?</h3>

The given parameters are:

D(9,-8), E(8,-3), and F(2,-5),

The area of the triangle is calculated using:

Area = 0.5|x1 * (y2 -y3) + x2 * (y1 -y3) + x3 * (y2 -y1) |

This gives

Area = 0.5|9 * (-3 + 5) + 8 * (-8 + 5) + 2 * (-3 + 8) |

Evaluate

Area = 0.5|4|

Expand

Area = 2

Hence, the area of the triangle DEF is 2 square units

Read more about areas at:

brainly.com/question/24487155

#SPJ1

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Lelechka [254]

Answer/Step-by-step explanation:

1. ∠XVR = 180 - <XVW (angle on a straight line)

∠XVR = 180 - 55°

∠XVR = 125°

2. ∠RVS = <XVW (Vertical angles are congruent)

∠RVS = 55°

3. ∠WVS = ∠XVR (vertical angles are congruent)

∠WVS = 125°

4. ∠RST = <R + <RVS (exterior angle theorem)

<RST = 55 + 55

<RST = 110°

5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)

∠RSV = 180 - (55 + 55)

∠RSV = 70°

6. ∠VSU = <RST (vertical angles are congruent)

<VSU = 70°

7. ∠UST = <RSV (vertical angles)

<UST = 70°

8. ∠TUS = 180 - (<UST + <T) (sum of triangle)

<TUS = 180 - (70 + 71)

<TUS = 39°

6 0
3 years ago
Jose is solving the linear equation 28 - 3x - 15 = -2x + 13 - x. His final two steps are
Alex_Xolod [135]

Answer:

A

Step-by-step explanation:

you can put any number for the x so there are infinite solutions

6 0
2 years ago
4х + Зу = 9<br> find the slope and y intercept
Volgvan

Step-by-step explanation:

3y/3=9-4x/3

y=3-4x/3

slope=x= -4/3

y intercept

y=3-4(0)/3

y=3-0

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3 years ago
2. Which expression is equivalent to 5(n + 3) - 10? A. 5+1 +5+3 – 10 B. 5 • n + 5 + 3 - 10 C. 5. n + 5 • 3 – 10 D. 5 • n • 5 • 3
GuDViN [60]

Answer:

5n+5

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5n+5

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The line crosses the y-axis at y=4, so will have an equation of the form

... y = (something)·x + 4


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The only selection that meets these criteria is

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3 years ago
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