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AlexFokin [52]
3 years ago
11

| 2x + 2y = 10 y = 5+x

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0
2x + 2(5+x)=10
2x+10+2x=10
4x+10=10
4x=0
X=0
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Rectangle ABCD is shown with diagonal AC drawn. Point F is on AC and point E on DC such that FE is perpendicular to DC. Prove tr
777dan777 [17]

Triangle ABC is similar to triangle CEF.

<u>Explanation:</u>

<u></u>

Diagram is inserted for the reference.

ABCD is a rectangle.

ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)

CEF is a right angled triangle because FE is perpendicular to DC – (b)

In triangles ABC and CEF,

1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)

2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)

Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.

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5 0
3 years ago
The lengths of two sides of the isosceles triangle are the ratio of 6:5. The perimeter of the triangle is 32cm. What is the area
Degger [83]
Sorry I'm late! xx
Okay, so two of the sides in an isosceles triangle are of the same length. The lengths are either in the ratio 5:5:6 or 5:6:6
The perimeter is 32 cm

If we take the first ratio, 5:5:6, then we have 16 "parts". Let the length of each "part" be referred to as "x"
So, 16x = 32, and so x = 2

So, the ratio of the sides are 10 cm, 10 cm, 12 cm.

To find the height, "h", we need to use Pythagoras' Theorem, with 10 being the hypotenuse and 6 being the horizontal side (think of a line cutting straight down the middle of the isosceles triangle)
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Area of a triangle is 0.5 x base x height. So, 0.5 x 12 x 8 = 48 cm^2

Hope I helped!! xx

5 0
3 years ago
Evaluate the expression for x = 1. 7. Enter your answer in the box. X2 3x.
earnstyle [38]

The expression is x^2 + 3x. The value of the given expression for x= 1.7 is 7.99.

<h3>What is the expression?</h3>

The expression is defined as a set of terms combined using the operations addition, subtraction, multiplication, or division.

The given expression is x^2 + 3x.

The value of expression for x = 1.7 is calculated as given below.

Put x = 1.7 in the expression,

(1.7)^2 + 3\times 1.7

2.89 + 5.1

7.99

The value of expression x^2 + 3x for x= 1.7 is 7.99.

To know more about the expressions, follow the link given below.

brainly.com/question/13947055.

7 0
2 years ago
What is another way to write the mumber75
nadezda [96]
Your answer would be57
3 0
3 years ago
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What is -2k + (-4k) + 5
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If ur solving for k the answer is 6/5
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