Answer:
triangle ABD> triangle BDC answer is B
Step-by-step explanation:
reason is because A-D is 5 while B-C is 4.5 the other sides are equal so ABD is larger
If we apply the distributive law to right side of the third choice we get:-
-12x - 9 = -9 - 12x
right side = left side so infinite solutions
Answer:
a. Not Divisible
b. Divisible
c. Divisible
d. Divisible
e. Divisible
Step-by-step explanation:
To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.
Let's begin with a:
by 33
We now then divide the total amount with 33.
= 31,781.5454
We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.
Now let's continue on with the others.
by 25
We now then divide the total amount with 25.
= 35,192,575,602
The total value did NOT return a decimal point, therefore making the equation true. IS divisible by 25.
Next on we have:
by 7
As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.
We now then divide the total amount with 7.
= 375
The total value did NOT return a decimal point, therefore making the equation true. IS divisible by 7.
by 11
We now then divide the total amount with 11.
= 12,005
The total value did NOT return a decimal point, therefore making the equation true. IS divisible by 11.
Last but not the least:
by 24
We now then divide the total amount with 24.
= 476,837,158,203,125
The total value did NOT return a decimal point, therefore making the equation true. IS divisible by 24.
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
The answer should be $700
Because $12.50 · 56 = $700