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Aleksandr [31]
3 years ago
7

5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

The value of x is 7

Step-by-step explanation:

we know that

If two figures are congruent, then the corresponding angles and the corresponding sides are equal

In this problem

Triangles ABC and DEF are congruent

ABC≅DEF

therefore

AB=DE ----> equation A

AC=DF ----> equation B

BC=EF ----> equation C

Substitute the given values in the equation B

8=2x-6

Solve for x

2x=8+6

2x=14

x=7

therefore

The value of x is 7

The draw in the attached figure

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Graph the line y= 6​
liraira [26]

Answer: The image

Step-by-step explanation:

y=-6, The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept (y=mx+b). Find the values of m and b using the form y=mx+b.

m=0, and b=−6. The slope of the line is the value of m, and the y-intercept is the value of b.

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5 0
3 years ago
Solve the right triangle
defon
I recommend learning the mnemonic SOHCAHTOA (it's very fun to say!)
Here is what SOHCAHTOA represents.

Sin - Opposite / Hypotenuse (SOH)
Cos - Adjacent / Hypotenuse (CAH)
Tan - Opposite / Adjacent (TOA)

The sine of an angle is the length of the side opposite of the angle divided by the length of the hypotenuse.

Thus, the length of the side opposite of the angle divided by the sine will give us the length of the hypotenuse.

The angle is 46 degrees. The length of the side opposite of the angle is 14. The hypotenuse is c.

c= \dfrac{14}{\sin{46^o}}

\approx 19.46

The tangent of an angle is the length of the side opposite of the angle divided by the length of the side adjacent to the angle.

Thus, the length of the side opposite to the angle divided by the tangent of the angle will give us the length of the other leg.

The length of the side opposite to the angle is 14. The angle is 46. The unknown length of the side adjacent to the angle is b.

b=\dfrac{14}{\tan{46^o}}

\approx 13.52

This should be what you are looking for. Enjoy!
6 0
3 years ago
Which expression is equivalent to 3m+1-m?<br><br> 2+m-1+m<br> 1+m<br> 3m-1<br> 3m
Over [174]

Answer:

2+m-1+m

Step-by-step explanation:

3m+1-m

Combine like terms

3m-m +1

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Splitting terms

m+m+1

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3 0
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loris [4]

Answer:P=0.4×0.2=0.08=8% that it will rain on both days

Step-by-step explanation:

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4 years ago
Y=-x-5 graph this equation
sergejj [24]
Negative slope and shifted 5 down on the y axis with a root at x=-5
5 0
3 years ago
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