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3 years ago

If mZFBC = (10x – 9), mZCBE = (4x + 15), find mZFBE.

Mathematics

2 answers:

coldgirl [10]3 years ago

6 0

Answer:

mFBE = 14x + 6

Step-by-step explanation:

As you can see FBE is sum of FBC + CBE

Given mFBE = mFBC + mCBE

= 10x - 9 + 4x + 15

= 14x + 6

So mZFBE = 14x + 6

erastovalidia [21]3 years ago

5 0

Answer:

BEFmZ Is the answer i think

Step-by-step explanation:

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Plz Help???

GREYUIT [131]

1.
12 liters of 26% acid solution contain $26\% \times 12=0.26 \times 12=3.12$ liters of acid.
x liters of 40% acid solution contain $40\%x=0.4x$ liters of acid.
The third solution is made from the two mixed solution so its volume is $12+x$ , and the volume of acid in it is $0.4x+3.12$ . Its concentration is 33% or 0.33.
The concentration of a solution is the volume of the solution divide by the volume of acid in it.

$\frac{0.4x+3.12}{12+x}=0.33 \\ 0.4x+3.12=0.33(12+x) \\ 0.4x+3.12=3.96+0.33x \\
0.07x=0.84 \\
x=12$

The answer is B.

2.
12 liters of 16% acid solution contain $16\% \times 12=0.16 \times 12=1.92$ liters of acid.
x liters of 40% acid solution contain $40\%x=0.4x$ liters of acid.
The volume of the third solution is $12+x$ , and the volume of acid in it is $0.4x+1.92$ . Its concentration is 32% or 0.32.

$\frac{0.4x+1.92}{12+x}=0.32 \\
0.4x+1.92=0.32(12+x) \\
0.4x+1.92=3.84+0.32x \\
0.08x=1.92 \\
x=24$

The answer is B.

3.
16 liters of 18% acidsolution contain $18\% \times 16=0.18 \times 16=2.88$ liters of acid.
x liters of 27% acid solution contain $27\%x=0.27x$ liters of acid.
The volume of the third solution is $16+x$ , and the volume of acid in it is $0.27x+2.88$ . Its concentration is 21% or 0.21.

$\frac{0.27x+2.88}{16+x}=0.21 \\
0.27x+2.88=0.21(16+x) \\
0.27x+2.88=3.36+0.21x \\
0.06x=0.48 \\
x=8$

The answer is A.

5 0

3 years ago

If f(x )= 2x - 3 find the value of f(3) + f(0)

Nana76 [90]

Answer:

Step-by-step explanation:

Let's find f(3) first

All we need to do is plug 3 in the place of x

2(3) - 3

6 - 3 = 3

Now let's find f(0)

Do the same thing for the first one, plug the new number in the place of x

2(0) - 3 = -3

Not add both answers up

3 + -3 = 0

7 0

3 years ago

Determine the value of y is x is -10:<br> y=x-91+2

cestrela7 [59]

Answer:

$y = x - 91 + 2 \\ x = - 10 \\ y = - 10 - 91 + 2 \\ y = - 101 + 2 \\ x = - 99$

3 0

3 years ago

180 degrees clockwise is parallel ?

aivan3 [116]

Answer:

may we please have some more info on the question?

Step-by-step explanation:

8 0

3 years ago

Anyone know the area?

Elina [12.6K]

Answer: The area of the triangle is: " 8.5 cm² " ;

or, write as: " 8 $\frac{1}{2}$ cm² " .
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:

A = ( $\frac{1}{2}$ ) * b * h ;

in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________
{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________
A = (b * h) / 2 ;

= (13 cm * 5 cm) / 2 ;

= [ (13 * 5) cm²] / 2 ;

= 65 cm² / 2 ;

A = " 8.5 cm² " ; or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________
Answer: " 8.5 cm² " ; or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________
The area of the triangle is: " 8.5 cm² " ;

or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________

5 0

3 years ago