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3 years ago

What is the measure of angle ABD?

Mathematics

1 answer:

Gnesinka [82]3 years ago

6 0

Answer:

118

Step-by-step explanation:

7x-4=6x+5

x=9

7(9)-4+6(9)+5

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How many solutions are there to the system of equations?

hichkok12 [17]

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

$\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.$

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

$4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1$

You can identify that:

$m=0.8\\b=-1$

Apply the same procedure with the second equation. Then:

$-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1$

You can identify that:

$m=0.8\\b=1$

The slopes of both lines are equal, therefore the lines are parallel and the system has NO SOLUTION.

7 0

4 years ago

Read 2 more answers

Use f(x) = 1)2 and f^-1(x) = 2x to solve the problems. a) f(2) b)f^-1(1) c)f^-1(f(2))

Luden [163]

a) f (2) = 1

b) $f^{-1}(1)=2$

c) $f^{-1}(f(2))=2$

<u>Step-by-step explanation:</u>

$f^{-1}$ - Indicates that we have to find the inverse of the function

Given data:

$f(x)=\left(\frac{1}{2}\right) x$ --------> eq.1

$f^{-1}(x)=2 x$ ---------> eq.2

To find $f(2), f^{-1}(1), f^{-1}(f(2))$

Case a)

Now, substitute x = 2 in the equation 1 to find f (2)

$f(2)=\left(\frac{1}{2}\right) \times 2=1$

Case b)

Now, substitute x = 1 in the equation 2 to find $f^{-1}(1)$

$f^{-1}(1)=2(1)=2$

Case c)

In general,

$f^{-1}(f(x))=f\left(f^{-1}(x)\right)=x$

Thereby,

$f^{-1}(f(2))=2 \text { where } x=2$

5 0

3 years ago

Question 25

nydimaria [60]

Answer:

nigгer

Step-by-step explanation:

nigгer

3 0

3 years ago

I need the area! <br><br> Of this picture

zhannawk [14.2K]

Answer: C

Step-by-step explanation:

$A=\frac{1}{2}ap$

$A=\frac{1}{2}(7)(10*6)\\ A=\frac{1}{2}(7)(60)\\ A=\frac{1}{2}(420)\\ A=210$

3 0

4 years ago

Please help me I tried all day

pishuonlain [190]

1) Rent:
2200*0.3 = 660

2)Utilities:
2200/4 = 550

3)Transportation:
2200*0.1 = 220

4)Groceries:
2200*0.2 = 440

5)Entertainment:
2200*0.1 = 220

6)Other:
2200/20 = 110

Thus the thing that costs 550 is the utilities.
Hope this helps! :)

7 0

3 years ago