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2 years ago

Plz help will mark as brainliest

Mathematics

2 answers:

Alex787 [66]2 years ago

4 0

Answer:

(i), (ii) and (v) are the linear pairs in the following angles.

Step-by-step explanation:

Linear pair refers to adjacent supplementary angles whose sum = 180 degrees

Hope this helps!

Please mark as brainliest

tatyana61 [14]2 years ago

3 0

Step-by-step explanation:

d is the answer hope it will help u

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2 years ago

50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle

aalyn [17]

Answer:

$EF=4\sqrt{3}$

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

$A_{\text{rect}}=8(6)=48\text{ cm}^2$

The area of the triangle is 1/4 of this. Therefore:

$\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2$

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

$\displaystyle 12=\frac{1}{2}(DE)(DF)$

Since DE = DF:

$24=DF^2$

Thus:

$DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE$

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

$(DE)^2+(DF)^2=(EF)^2$

Therefore:

$(2\sqrt6)^2+(2\sqrt6)^2=EF^2$

Square:

$24+24=EF^2$

Add:

$EF^2=48$

And finally, we can take the square root of both sides:

$EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}$

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3 years ago

Read 2 more answers

Michael drew a triangle with the sides measuring 12.5 centimeters, 30 centimeters, and 32.5 centimeters. Using the Pythagorean t

Vadim26 [7]

A2 +b2= c2.
12.5 (2) +30 (2) = 32.5 (2)
156.25+900=1056.25
1056.25=1056.25
hope this helped

6 0

3 years ago

Read 2 more answers

Algebra 2 Math question Grade 11

Paha777 [63]

Answer:

$\displaystyle y=\frac{4}{5}x+\frac{13}{5}$

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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

The points are (3,5) and (-2,1):

$\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}$

The equation is now:

$\displaystyle y=\frac{4}{5}x+b$

To calculate b, we use any of the given points and solve for b. Use (3,5):

$\displaystyle 5=\frac{4}{5}3+b$

Operate:

$\displaystyle 5=\frac{12}{5}+b$

Solve:

$\displaystyle b=5-\frac{12}{5}=\frac{13}{5}$

The required equation of the line is:

$\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}$

3 0

3 years ago

Plz help will mark as brainliest​

Plz help will mark as brainliest