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lbvjy [14]
3 years ago
12

in the figure below , Line K is perpendicular to Line l. based on the information given in the figure, find the measure of <C

Mathematics
2 answers:
gulaghasi [49]3 years ago
8 0
C is the answer for this
notka56 [123]3 years ago
8 0
The answer is ∠C = 47°.
First calculate the internal angle of the triangle on the picture:
180° - 137° = 43°.
Because the sum of the angles in a triangle is 180°, the angle A will be 180° - (90° + 43°) = 47°.
Angle A and C are vertical, so they are the same:
∠A = ∠C = 47°.
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Let w=width and 4 + w=
kozerog [31]

Answer:

Part 1 : w^2+4w-60=0

Part 2 :

w=6

l = 10

Step-by-step explanation:

Part 1:

Let the width of the rectangle = w

Length of the rectangle = w + 4

Area of the rectangle is given as

60 Sq Yrds

60=w(w+4)

60=w^2+4w

w^2+4w-60=0

Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.

Part 2:

(w+10)(w-6)= 0

either (w+10) = 0

or

(w-6)=0

or both are zero

(w+10) = 0 ⇒ w = -10

not possible as the dimension can not be 0

(w-6)=0  ⇒ w=6

Hence the width is 6 yards

And thus the length will be 6+4 = 10 yards

8 0
3 years ago
V + 9<br> ---------- = 8 <br> 3<br><br> Can someone help me ??
bagirrra123 [75]
\frac{v + 9}{3} = 8

Multiply both sides by 3, because 3 is our denominator (bottom number in a fraction), and we want to get rid of the denominator.

3 × (v + 9) = 8 × 3

Simplify.

3v + 27 = 24

Then, subtract both sides by 27.

3v = 24 - 27

Simplify.

3v = -3

Divide both sides by 3.

v = -1

~Hope I helped!~
4 0
3 years ago
Jayce goes out for a walk. He walks 5/4 miles from home. He walks back 1/2 mile before meeting up with his friend Macy. Write an
GarryVolchara [31]

+  \frac{5}{4}  -  \frac{1}{2}  =  \frac{1}{4}
Hope this helps. - M
3 0
3 years ago
Which of the following is the domain and range of the ellipse with equation x2 + 4y2 – 2x + 16y – 19 = 0?
Nata [24]

The option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7], and the range is R: [–5, 1]

<h3>What is an ellipse?</h3>

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have an ellipse equation:

\rm x^{2}+4y^{2}-2x+16y-19=0

We can write the above equation as:

\rm \dfrac{\left(x-1\right)^{2}}{36}+\dfrac{\left(y+2\right)^{2}}{9}=1

The domain will be:

D: [–5, 7]

The range will be:

R: [–5, 1]

Thus, the option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7] and the range is R: [–5, 1]

Learn more about the ellipse here:

brainly.com/question/19507943

#SPJ1

5 0
2 years ago
A farmer wants to construct a rectangular pigpen so only 3 sides of the pen will need to be fenced. If the farmer has 400 ft of
Fofino [41]

Answer:

The answer is "\bold{100\ ft \times 200\ ft}"

Step-by-step explanation:

A = area of the pigpen 

x = its perpendicular length of the sides of the stone wall

Maximize function:

\to A = x (400-2x)\\\\Where\ \ 0

So, the size of pigpen is = 100 ft by 200 ft that is (perpendicular and parallel to wall), that's why the answer is "\bold{100\ ft \times 200\ ft}"

3 0
2 years ago
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