Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish that triangle BCD is a right-angle triangle.
Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:
a^2 + b^2 = c^2
Where c = hypotenus of right-angle triangle
Where a and c = other two sides of triangle
Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:
Let a = BC
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
a^2 + 24^2 = 26^2
a^2 = 26^2 - 24^2
a = square root of ( 26^2 - 24^2 )
a = square root of ( 676 - 576 )
a = square root of ( 100 )
a = 10
Therefore, as a = BC, BC = 10.
If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:
a = BC = 10
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
10^2 + 24^2 = 26^2
100 + 576 = 676
676 = 676
FINAL ANSWER:
Therefore, BC is equivalent to 10.
Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
Answer:
-6 ≤ x ≤ 16
Step-by-step explanation:
First, apply absolute value rule:
x - 5 ≤ 11 and x - 5 ≥ -11
Then, we add 5 on both sides with both inequalities:
x ≤ 16 and x ≥ -6
Finally, combine the inequalities:
-6 ≤ x ≤ 16
And we're done ^^
I think it’s (3,4) the third answer
Answer:
a - 48
Step-by-step explanation:
12 cups are divided into 1/4 cup bags.
Converting 12 into a fraction, you get:
12/1 divided by 1/4.
When we divide fractions, we flip the second fraction and change the operation to multiplication.
12/1 * 4/1.
Since 12/1 and 4/1 are now just whole numbers, (12 and 4), we can multiply them together.
12 * 4 = 48.
Answer: 6
Step-by-step explanation: Gets x by itself.
