Answer:
k=-7
Step-by-step explanation:
2k-6-7+3k=-48
Combine like terms
5k -13 = -48
Add 13 to each side
5k-13+13 = -48+13
5k = -35
Divide by 5
5k/5 = -35/5
k =-7
Answer:
option a
Step-by-step explanation:
as 145 +10 = 155°
and total angle measure of triangle is 180
so
180-155 = 25°
in option a one angle is 10
other is 25 so obviously last angle will be 145
and same is in the triangle abc
one angle is 10 other is 145 and last is 25
both hve same measures thus are same triangles.
Answer:
The statement is true.
Step-by-step explanation:
Let us assume that x is the required number.
Now, given that the number minus 3 is at most 12.
Hence, x - 3 ≤ 12
⇒ x ≤ 15 ......... (1)
And also given that 1 more than 2 times the number is at least 25.
Hence, 2x + 1 ≥ 25
⇒ 2x ≥ 24
⇒ x ≥ 12 .......... (2)
Therefore, from equations (1) and (2) we get the number must be greater than or equal to 12 or less than or equal to 15.
So, the statement is true. (Answer)
Answer:
<u>2047.5 cubic inches</u>
Step-by-step explanation:
Volume of the storage chest :
<u><em>Length × Width × Height</em></u>
<u><em /></u>
============================================================
Given :
⇒ Length = 26 in.
⇒ Width = 7.5 in.
⇒ Height = 10.5 in.
===========================================================
Solving :
⇒ Volume = 26 × 7.5 × 10.5
⇒ Volume = 273 × 7.5
⇒ Volume = <u>2047.5 cubic inches</u>
Answer:
44
Step-by-step explanation:
k=1: 2*1-4 = -2
k=2: 2*2²-4 = 4
k=3: 2*3²-4 = 14
k=4: 2*4²-4 = 28
-2 + 4 + 14 + 28 = 44
