Which pair of slopes could represent perpendicular lines?

Which of the following explains how ΔBEI could be proven similar to ΔCEH using the AA similarity postulate? Quadrilateral ABDC,

maria [59]

∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.

i got it right on the test

8 0

3 years ago

The number of miles a car can be driven depends on the number of gallons of gas its tank. The function m = 25g models a situatio

Sladkaya [172]

The correct answer would be, "B. 0 ≤ m ≤ 500".

Hoped I helped!

4 0

3 years ago

The population of the united states is 280 million. If 2 out of 3 americans know who the vice president is, how many americans k

kotykmax [81]

Answer:

186,666,667 Americans know who the vice president is

Step-by-step explanation:

In this question, we are tasked with calculating the number of USA citizens that know who the vice president is.

Now, in this question, we are made to know that the total population is set at 280 million with 2 out of three knowing who the vice president is.

What this means is that a fraction of the population at 2/3 knows who the vice president is

This fraction is equal to; 2/3 * 280,000,000 = 186,666,666.66666666

This is approximately equal to 186,666,667 people

8 0

3 years ago

Read 2 more answers

Graph each line y -7 = x + 4

Delicious77 [7]

Given the the equation: y − 7 = x + 4 ;

We should rewrite the equation in "slope-intercept form" ; that is:

" y = mx + b " ;
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in which: "y" remains an isolated variable on the "left-hand side" of the equation (with "no coefficients"—except the "implied coefficient of "1"
{since "1" , multiplied by any value, results in that same value} ;

"m" refers to the "slope" of the line;
and "m" is the coefficient of "x" ;

"b" refers to the "y-intercept" of the graphed (linear) equation; or more precisely, the value of "y" of the coordinate of the [ point on the graphed line of the equation—where the line crossed the "y-axis" ] ; that is; the "y-coordinate of the "y-intercept" ; that is, the value of "y" when "x = 0" ;
______________________________________________________
{Note that: "m" (the slope) may be a negative value; & that: "y" may be a negative value; as regard to the "slope-intercept form" equation:
that is:
"y = mx + b" . }.
______________________________________________________
So; given the equation:
______________________________________________________
" y − 7 = x + 4 " ;
______________________________________________________
Add "7" to each side of the equation;
to isolate "y" on one side of the equation;
→ {specifically, the "left-hand-side" of the equation} ;

and to rewrite the equation in "slope-intercept form" ; that is;
→ to rewrite the equation in the format:
" y = mx + b " ;
_______________________________________________________
As such: "y − 7 = x + 4 " ;
_______________________________________________________
→ Add "7" to each side of the equation:
_______________________________________________________
→ y − 7 + 7 = x + 4 + 7 ;

to get:
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  → y = x + 11 ;
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Now, let us graph the equation:
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Let us make a table:
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x ║ (x + 11) ║ y ║
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-20 ║ (-20 + 11) ║ -9 ║

-19 ║ (-19 + 11) ║ -8 ║

-18 ║ (-18 + 11) ║ -7 ║

-17 ║ (-17 + 11) ║ -6 ║

-16 ║ (-16 + 11) ║ -5 ║

-15 ║ (-15 + 11) ║ -4 ║

-14 ║ (-14 + 11) ║ -3 ║

-13 ║ (-13 + 11) ║ -2 ║

-12 ║ (-12 + 11) ║ -1 ║

-11 ║ (-11 + 11) ║ 0   ║

-10 ║ (-10+ 11) ║ 1 ║

-9 ║ (-9 + 11) ║ 2 ║

-8 ║ (-8 + 11) ║ 3 ║

-7 ║ (-7 + 11) ║ 4 ║

-6 ║ (-6 + 11) ║ 5 ║

-5 ║ (-5 + 11) ║ 6 ║

-4 ║ (-4 + 11) ║ 7 ║

-3 ║ (-3 + 11) ║ 8 ║

-2 ║ (-2 + 11) ║ 9 ║

-1 ║ (-1 + 11) ║ 10 ║

0 ║ (0 + 11) ║ 11 ║

1 ║ (1 + 11) ║ 12 ║

2 ║ (2 + 11) ║ 13 ║

3 ║ (3 + 11) ║ 14 ║

4 ║ (4 + 11) ║ 15 ║

5 ║ (5 + 11) ║ 16 ║
_________________________________________________

Now, we plot these points on a graph, and draw a line through these points; the slope is "1" ; since the equation is:
" y = x + 11 " ; Note: The slope, "m", is "1", since there is an "implied coefficient of "1" ; i.e. " y = 1x + 11 " .
___________________________________
Graph of: "y = x + 11 " ;
_____________________________________

7 0

3 years ago

Solve the math problem<br>#3

Aloiza [94]

Step-by-step explanation:

10 + 10 + 10 = 30

10 + 5 + 5 = 20

5 + 2 + 2 = 9

1 + 5 + 10 = 16

3 0

1 year ago