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ollegr [7]
3 years ago
14

How can you make different-looking triangles given two of the angle measures and the included side lengths

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
8 0

Answer:

Hi how are you doing today Jasmine

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Consecutive angles in a parallelogram are supplementary. What is the value of x?
Naddika [18.5K]

Step-by-step explanation:

HERE,

\angle{PQR=20+2x  } ⠀

\angle{ QRS=6x } ⠀

we know that,

sum of consecutive angle of a parallelogram =180

so,

According to the question,

\angle{PQR}+\angle{QRS}=180 ⠀

\tt{20+2x+6x=180  } ⠀

\tt{8x+20=180  } ⠀

\tt{8x=180-20  } ⠀

\tt{8x=160  } ⠀

\tt{x=\dfrac{160}{20}  } ⠀

\tt{ x=20 } ⠀

8 0
3 years ago
consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-i
eimsori [14]

we have

f(x)=x^{2} +2x-15

we know that

The x-intercept is the value of x when the value of the function is equal to zero

so

in this problem

Find the roots of the function

equate the function to zero

x^{2} +2x-15=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2} +2x=15

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +2x+1=15+1

x^{2} +2x+1=16

Rewrite as perfect squares

(x+1)^{2}=16

Square root both sides

(x+1)=(+/-)\sqrt{16}

(x+1)=(+/-)4

x=-1(+/-)4

x1=-1+4=3

x2=-1-4=-5

x^{2} +2x-15=(x-3)(x+5)

therefore

<u>the answer is</u>

the x-intercepts are the points (3,0) and (-5,0)

3 0
3 years ago
Read 2 more answers
The graph of the linear parent function is a ________________ line.
Vadim26 [7]

Answer:

straight ?

Step-by-step explanation:

7 0
3 years ago
What is the solution of the system?
Phoenix [80]

Answer:

(-2, 6)

Step-by-step explanation:

We can simply do this by plugging in all of the coordinates. (I did this in my head quickly, so I know what it is; I'm just going to plug in the correct answer.) The correct answer is (-2, 6), so we're just going to plug them into the simplest equation, which is probably y=-3x. So...

6=-3(-2)

6=6

This answer is correct. If you're unsure about the answer, you can always check in the other equation. So...

3(-2)+2(6)=6

-6+12=6

6=6

Hope this helps and have an amazing day ^^

5 0
4 years ago
Read 2 more answers
Is there a series of rigid transformations that could map A
MaRussiya [10]

Answer:

Yes, A KLP can be reflected across the line containing KP and then translated so that Pis mapped to M.

Step-by-step explanation:

The figure shows two congruent by HA theorem (they have congruent hypotenuses and a pair of congruent angles adjacent to the hypotenuses) triangles KLP and QNM.

A rigid transformation is a transformation which preserves lengths. Reflection, rotation and translation are rigit transformations.

If you reflect triangle KLP across the leg KP and translate it up so that point P coincides with point M , then the image of triangle KLP after these transformations will be triangle QNM.

3 0
3 years ago
Read 2 more answers
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