All categories

3 years ago

(x+15) (3x-35) If the angles are congruent, what is x?

Mathematics

1 answer:

Arada [10]3 years ago

7 0

Answer: x = 25

Step-by-step explanation:

If these angles are congruent, that means they are equal. Using that information, we can frame the following equation:

(x+15) = (3x-35)

To find 'x', we just need to solve the above equation.

(x+15) = (3x-35)

x+15 = 3x-35

x-3x = -35-15

-2x = -50

x = 25.

Therefore, 'x' is 25 degrees.

You might be interested in

How to do this problem?

solniwko [45]

Count the units between the points

3 0

2 years ago

Answer plzzz (ignore thisssssssssssssssss)

LenKa [72]

Answer:

P- number?

Step-by-step explanation:

I don't know but it's probably wrong :(

3 0

2 years ago

Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit

andreyandreev [35.5K]

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . We can plug in $4\sqrt{2}$ = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

$4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\$

$(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2$

$32 = (4)^2 + (7-k)^2$

$32 = 16 + (7-k)^2$

$32 - 16 = (7-k)^2$

$16 = (7-k)^2$

$\sqrt{16} = (7-k)$

$4 = 7-k$

$k = 3$

4 0

2 years ago

What is the volume of the prism?

anygoal [31]

Answer:

78.75 cm cubed

Step-by-step explanation:

To find the volume of the prism, use the formula V = l*w*h where l = 4.5, w = 5 and h = 3.5.

So the volume is V = 4.5*5*3.5 = 78.75

7 0

3 years ago

Find the circum center of a triangle whose vertices are (-2, -1) , (-1, 6 ) and (2, 7).

lina2011 [118]

Answer:

(-1/3; 4)

Step-by-step explanation:

(-2, -1) , (-1, 6 ) and (2, 7).

x=(-2-1+2)/3= -1/3

y=(-1+6+7)/3=12/3=4

=> (-1/3; 4)

7 0

3 years ago