All categories

3 years ago

AD is the perpendicular bisector of BC. BD = 5x - 10 and DC = 3x + 10. Determine the value of x.

Mathematics

1 answer:

Nookie1986 [14]3 years ago

6 0

Answer: x= 10

Step-by-step explanation:

You might be interested in

What’s the area of a rectangle measuring 13 inches times 12 inches ?

taurus [48]

Answer:

156 square inches

Step-by-step explanation:

We are given the two quantities

Let

length = l = 13 inches

and

Width = w = 12 inches

The formula for the area of rectangle is:

$Area=l*w$

where l is length and w is width

Putting the values of both that are given

$Area = 13*12\\=156$

so the area is 156 square inches ..

6 0

3 years ago

Can some figure this out

NeX [460]

Hello,

As 4²+(5/2)²=22.25=89/4 (Pytagorean theorem)
Perimeter of the triangle =2*√89 /2 +5 =5+√89
Lateral area: 18*(5+√89)
Total area= 90+18√89+ 4*5/2 *2 =110+18√89 ≈279.811..(ft²)

8 0

3 years ago

Which number line shows the solution set for |p-3|=9?

Mademuasel [1]

Answer:

Option b

$p = -6$ or $p = 12$

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function $f(x) = |x|$ x> 0 for all real numbers.

Then the equation:

$|p-3| = 9$ has two cases

$(p-3) = 9$ if $h > 3$ (i)

$-(p-3) = 9$ if $h < 3$ (ii)

We solve the case (i)

$p = 9 + 3\\p = 12$

We solve the case (ii)

$-p +3 = 9\\p = 3-9\\p = -6$

Then the solution is:

$p = -6$ or $p = 12$

3 0

3 years ago

Help!! I cant figure this out for some reason

Thepotemich [5.8K]

Answer:

x³ - 6x² + 18x - 10

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

= x³ - 2x² + 12x - 6 - (4x² - 6x + 4)

= x³ - 2x² + 12x - 6 - 4x² + 6x - 4 ← collect like terms

= x³ - 6x² + 18x - 10

6 0

3 years ago

Haruka hiked several kilometers in the morning. She only hiked 6 kilometer in the afternoon, which was 25% less she had hiked in

Marrrta [24]

7.5 kilometers is what she hiked

3 0

3 years ago