What is x? HELP!! Pls

Mathematics

2 answers:

kow [346]3 years ago

7 0

Since line c and d are parallel, line a can act as a transversal. Thus, x=124 degrees because of the alternate exterior angle relationship that can be seen.

patriot [66]3 years ago

5 0

Answer:

You pretty much don't need to pay attention to the mess on the right side. We know that corresponding angles on a traversal are congruent if the lines are parallel so assuming the line is parallel, the angle bottom left of 124 also equals 124, and because vertical angles are equal x=124.

you can prove this with the angle of 95 on the other side. take the angle directly below 95 and because they correspond they are equal. the vertical angle of 95 is also 95.

I hope this helps.

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Margaret [11]

Answer:

Step-by-step explanation:

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3 years ago

Find the x-intercepts of the parabola with the vertex (4,-1) and y-intercept (0,15)

satela [25.4K]

1. A parabola is the graph of the function

$y=f(x)=ax^2+bx+c$

(0, 15 ) is a point of this parabola, so $15=f(0)=a(0)^2+b(0)+c=c$

So c=15, which means we decrease the number of unknowns and write again:
$y=f(x)=ax^2+bx+15$

2. Now, since (4, -1) is another point in the parabola:

$-1=f(4)=a(4)^2+b(4)+15$
16a+4b=-16
dividing by 4:
4a+b=-4

We also know that -b/2a gives the x-coordinate of the vertex:

-b/2a=4
-b=8a
b=-8a

Substitute b=-8a in 4a+b=-4,
we get 4a-8a=-4
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a=1, then b=-8

So y=f(x)=x^2-8x+15

The roots of the expression, which are the x-intercepts can be found by solving the equation:

$x^2-8x+15=0$
$x^2-8x+16-1=0$
$(x-4)^2=1$

solution 1: x-4=1, x=5
solution 2: x-4=-1, x=3

The x-intercepts are (3, 0) and (5, 0)

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4 years ago

Which product has 4 zeros after the digit 3? 0.03 times 10 with the power of 5. 0.3 times 10 with the power of 4 0.03 times 10 w

sweet [91]

Answer:

$0.3 * 10^5$

Step-by-step explanation:

0.3

^ You need to move the three before the decimal place and leave 4 empty digits (0) between

0.3

3.0

30.0

300.0

3000.0

30000.0

A total of 5 moves.

Each move is equivalent to x, the preceding value, times 10. x * 10

Repeated multiplication times the same factor equates to exponentiation, so for a total of 5 moves, it is notated as $10^5$ , giving you an expression of: