All categories

3 years ago

Showing algebraic support, find the value of x.

Mathematics

1 answer:

Travka [436]3 years ago

3 0

Answer:

x = 52.5

Step-by-step explanation:

The triangle on the left has 2 congruent sides, thus is isosceles

The base angles of an isosceles triangle are also congruent, thus

x = $\frac{180-75}{2}$ = $\frac{105}{2}$ = 52.5

You might be interested in

A local amusement park charges $20 for an admission fee and $5 for each ride.

german

Answer:

20+5x=

Step-by-step explanation:

3 0

3 years ago

Help answer and EXPLAIN STEP BY STEP

pychu [463]

15. $(-k^{3} -5k^{2} + 1) - (6k^{3}-k^{2} -2)$

Step 1: Distribute the subtraction sign to all the numbers in the second set of parentheses...

$(-k^{3} -5k^{2} + 1) - (6k^{3}-k^{2} -2)$

$-k^{3} -5k^{2} +1 - 6k^{3} +k^{2} +2$

Step 2: Combine like terms ( $k^{2}$ 's go with $k^{2}$ 's)

$-k^{3} -5k^{2} + 1 - 6k^{3}+k^{2} +2$

$-5k^{2} +k^{2}$

$-4k^{2}$

$-k^{3} -4k^{2} + 1 - 6k^{3}+2$

Step 3: Combine like terms ( $k^{3}$ 's go with $k^{3}$ 's)

$-k^{3} -4k^{2} + 1 - 6k^{3}+2$

$-k^{3} + (- 6k^{3})$

$-7k^{3}$

$-7k^{3} -4k^{2} + 1 +2$

Step 4: Combine like terms (normal numbers go with normal numbers)

$-7k^{3} -4k^{2} + 1 +2$

1 + 2

$-7k^{3} -4k^{2} + 3$

You were correct!

16. $49m^2 - 84mn + 36n^2$

I don't really know how to explain this one but I got: (7m-6n)(7m-6n)

7 0

4 years ago

The sum of two numbers is 37. Their difference is 11. What is the smaller number?

raketka [301]

Hello from MrBillDoesMath!

Answer:

Discussion:

Let the numbers in the Question be call m and n. Then

m + n = 37

m - n = 11

Adding these 2 equations gives:

(m+ n) + (m - n) = 37 +11 =>

(m+m) + (n-n) = 48 =>

2m + 0 = 48 =>

m = 24.

As m + n = 37, 24 +n = 37 , so n = 13.

Thank you,

MrB

4 0

3 years ago

Which number is a solution of the inequality?

devlian [24]

The answer I got is

g > 3

8 0

3 years ago

Can you please help me solve this i will give you 70 points -9d-8= -4(d+2)- 5d

madam [21]

Answer:

d = all real numbers

Step-by-step explanation:

-9d-8= -4 (d + 2) - 5d

-9d - 8 = -4d - 8 - 5d

-9d - 8 = -9d - 8

0d - 8 = -8

0d = 0

d = all real numbers

8 0

3 years ago