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Over [174]
3 years ago
13

What is x?

Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0

Answer:

Option 3) 24 is right.

Step-by-step explanation:

Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm

Also MO is the angle bisector of angle M.

By applying angle bisector theorem for triangles we get

LM/MN = LO/NO

i.e. x/12 = 14/7

Simplify to get x = 24

Hence option 3 is right

Verify:

Check whether angle bisector theorem is true.

The proportion LM/MN =24/12 = 2

The proportion LO/NO  =14/7 =2

Both are equal and hence verified

sergij07 [2.7K]3 years ago
6 0
I don’t know the answer to the question
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In a rectangular coordinate plane what is the distance between points (-3,0) and (3,8)
zheka24 [161]

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:


\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}


"d" represents the distance and coordinates are expressed as follows: (x, y)


Let's go to the calculations.


\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\\\\ \mathsf{d=\sqrt{(3-(-3))^2+(8-0)^2}}\\\\ \mathsf{d=\sqrt{(3+3)^2+(8)^2}}\\\\ \mathsf{d=\sqrt{(6)^2+64}}\\\\ \mathsf{d=\sqrt{36+64}}\\\\ \mathsf{d=\sqrt{100}}\\\\ \underline{\mathsf{d=10}}


The answer is 10 uc.

8 0
4 years ago
How do you multiply a whole number with a mixed number
marta [7]
You would change the whole number to a fraction by putting it over 1 and make the mixed number an improper fraction by multiplying the whole number part of the mixed number by the denominator and then and the numerator
6 0
3 years ago
Somebody help me !!!! HELPP please!!!
stellarik [79]
Step 1: Read and understand the problem statement.

You are given (time, depth) pairs of (20 s, 8 cm) and (40 s, 0 cm) and asked to write an equation that describes the relationship of depth (y) to time (x).

The rate of change is (0 cm -8 cm)/(40 s -20 s) = -8 cm/(20 s) = -2/5 cm/s. Then in point-slope form using the second point, the linear function rule is
  y = (-2/5)(x -40) +0
You can expand this to
  y = (-2/5)x +16
  y = -0.4x +16 . . . . . . using a decimal number for the slope

_____
If the bathtubs in your "draining race" start with the same level, the one with the steepest slope (-0.5 cm/s) will win.

8 0
3 years ago
PLEASE HELP!!! PLATO ALGEBRA 2
andrey2020 [161]

Answer:

(gof) (4) = 9

Hence, option A is true.

Step-by-step explanation:

f(x)=-x³

g(x)=|1/8x -1|

(gof) (4) = g{f(4)}

First wee need to determine f(4)

f(4)=-(4)³

    = -64

so

  (gof) (4) = g{f(4)} = g(-64)

                             =  \left|\frac{1}{8}\left(-64\right)-1\right|

                             =\left|-\frac{1}{8}\cdot \:64-1\right|

                             =\left|-8-1\right|

                             =\left|-9\right|

\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a

                             =9        

Thus,

(gof) (4) = 9

Hence, option A is true.

8 0
3 years ago
Can anyone help me with this
ANTONII [103]

Answer:

Sure, what do you need

Step-by-step explanation:

4 0
3 years ago
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