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Arturiano [62]
3 years ago
9

Can someone help me please ?!!

Mathematics
1 answer:
horsena [70]3 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

1) Given

2) Given

3) Opposite angles are congruent

4) SAS

5) If two triangles are congruent, all their corresponding sides are equal.

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Define product. Give an example of two whole number factors with a product of 9
EastWind [94]
Product: The answer to a multiplication problem.
3•3=9
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4 0
3 years ago
A new building is being constructed at UT Austin. It is 200 feet tall, and has a
Mariana [72]

Answer:

Walkway is 3 feet wide.

Step-by-step explanation:

Given:

Length of the building is 150 ft

width of the building is 100 ft

walkway is x ft wide.

Total area(around and including the building) = 16536 square feet

Solution:

Length of the total area will be = length of the building + width of walkway from 2 sides = 150 +2x

Width of the total area will be = width of the building + width of walkway from 2 sides = 100 +2x

Now Total area(around and including the building) = Length of the total area\times Width of the total area

(150+2x)\times(100+2x)=16536\\15000+300x+200x+4x^2=16536\\500x+4x^2=16536-15000\\4(125x+x^2)=1536\\125x+x^2= \frac{1536}{4}=384\\

x^2+125x-384=0\\x^2-3x+128x-384=0\\x(x-3)+128(x-3)=0\\(x-3)(x+128)=0\\

Now solving for both equation we get.

x+128=0\\x=-128\\x-3=0\\x=3

Now, We get 2 values for x which -128 and 3 but the width of the building can't be in negative value hence we will consider value of x be 3.

∴ Width of the walkway is 3 ft.

4 0
3 years ago
Read 2 more answers
Rita teils John that since line p is parallel to line q, he can determine the measure of <1 by drawing a line in the diagram
egoroff_w [7]

Answer: A measure of one degree ( 1 ° ) is equivalent to a rotation of 1 360 of a complete revolution. To measure angles, it is convenient to mark degrees on the circumference of a circle .

3 0
3 years ago
Antonio has more money than Dominic . if Antonio gives Dominic $18 then they'll have the same amount . If Antonio gives Dominic.
Simora [160]
Let x be the money Antonio has. 
Let y be the money Dominic has. 

x-18=y (here, I just put in the equation) 

Since we are not given any information about the money that Dominic has or Antonio has, we would have to create an equation that would fit all the situations. 

Hope I helped :) <span />
6 0
3 years ago
Which of the following points solves the system shown below?
IrinaVladis [17]

Answer:

(3,6)

Step-by-step explanation:

Collect like terms

y -5x = -9

y + 2x = 12

Using elimination method

Subtract equation 2 from equation 1

y - 5x = -9

y + 2x = 12

---------------

0. -7x = -21

Divide both sides by -7

-7x = -21

---- -----

-7 -7

x = 3

Substitute x=3 into equation 1

y = 5(3) - 9

y = 15 - 9

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Solution is (x,y) = (3,6)

6 0
3 years ago
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