All categories

2 years ago

Angles A and B are congruent. Find the value of x. Show all work to receive credit.

Mathematics

1 answer:

kolezko [41]2 years ago

8 0

Answer:

x = 15

Step-by-step explanation:

Sides opposite congruent angles are congruent:

x + 10 = 2x - 5

15 = x . . . . . . . . . add 5-x

The value of x is 15.

_____

I suppose you could show the intermediate step:

x +10 +(5 -x) = 2x -5 +(5 -x)

15 = x . . . . . simplified

You might be interested in

What is the equation of the line that passes through (0, -2) and has a slope of 0? NEED HELP ASAP!!

Molodets [167]

The equation is y= -2.
How? If you recall, a linear equation is y= mx+b. The m is the slope (growth) and b is the y-intercept ( where the line crosses the y-axis).

Now since there is no slope or m, the equation would look like this:
y= b or y= 0+b

Next, you want to input the coordinator points (0, -2) into the equation. reminder: (x, y) = x=0 y= -2

y= 0+ -2
y= -2

And there you go! The equation is y= -2. I hope I help you in solving this problem, if not message me, because I'll be glad to help you.

8 0

3 years ago

Which equation represents the circle described?

faust18 [17]

ANSWER

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

EXPLANATION

The equation of the circle with radius r and centre (a,b) is given by

$(x - a)^{2} + {(x - b)}^{2} = {r}^{2}$

The radius is

$r = 2$

We need to determine the center of the circle from the given equation of another circle, which is,

${x}^{2} + {y}^{2} - 8x - 6y + 24 = 0$

We complete the square to obtain,

${x}^{2} - 8x+ {y}^{2} - 6y + 24 = 0$

${x}^{2} - 8x+ {y}^{2} - 6y = - 24$
${x}^{2} - 8x+ {( - 4)}^{2} + {y}^{2} - 6y + {( - 3)}^{2} = - 24 + {( - 3)}^{2} + {( - 4)}^{2}$

${(x - 4)}^{2} + {(y - 3)}^{2} = - 24 + 9+ 16$

${(x - 4)}^{2} + {(y - 3)}^{2} = 1$

The centre of this circle is (4,3)

Hence the center of the circle whose equation we want to find is also (4,3).

With this center and radius 2, the required equation is,

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

Therefore the correct answer is C.

3 0

3 years ago

Read 2 more answers

G = cst (solve for s)

Harrizon [31]

Step-by-step explanation:

Simplifying

g = cst

Solving

g = cst

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Simplifying

g = cst

7 0

2 years ago

The graph passes through the point (20, 6). What is the meaning of this point in the context of the situation?

Aliun [14]

Answer:

Option B. After 20 minutes, Shari had 6 kilometers left to run

Step-by-step explanation:

Let

x ----> the time in minutes

y ----> the distance remaining in kilometers

we have the ordered pair (20,6)

That means

x=20 min

y=6 km

After 20 minutes, Shari had 6 kilometers left to run

4 0

2 years ago

The retail price of the latest video game is $89.00. If the shipping charges are 7%, how much will the video game cost? A. $95.2

Evgesh-ka [11]

Answer:

A. $95.23 Hope this helps!

3 0

3 years ago