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Paraphin [41]
3 years ago
11

The question is below:

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

Triangles ABE and CDE are congruent by AAS.

Step-by-step explanation:

AB ≅ DC   (Opposite sides of a parallelogram are congruent.

m < AEB = m < DEC     (Vertical angles).

m < ABE = m < EDC     ( Alternate Interior angles).

So triangles  ABE and CDE are congruent by AAS.

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What is the value of x in the equation 2 (x 3) = 4 (x minus 1)? 1 2 3 5.
nordsb [41]

Answer:

-2

Step-by-step explanation:

8 0
2 years ago
in a 30°-60°-90° triangle, the ( blank) is the (blank) the length of the ( blank) while the longer leg is ( blank) times the len
levacccp [35]

Answer:

16

Step-by-step explanation:

4 0
3 years ago
Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22
madam [21]

The equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Given equation of sphere be x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like  x^{2} +y^{2} +z^{2} =r^{2}.

The given equation is x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We have to break 22 which is in right side into various parts according to the left side of the equation.

x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36

x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36

x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36

x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36

(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}

Hence the equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Learn more about equations at brainly.com/question/2972832

#SPJ4

7 0
1 year ago
Why are points connected in a line graph but not in a bar graph?
BabaBlast [244]
The answer is a line graph  
8 0
3 years ago
Two angles are vertical angles. One angle is ( 8x + 15 ) and the other angle is 143. Solve for x.
sineoko [7]

Answer:

x = 16

Step-by-step explanation:

Verticle angles are always congruent, so:

(8x + 15) = 143

Now, we can solve to isolate x:

8x + 15 - 15 = 143 - 15  (subtract 15 from both sides)

8x/8 = 128/8                (divide both sides by 8)

x = 16

You can always plug in the value of x to the original equation to check your answer:

8(16) + 15 = 143

5 0
2 years ago
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