Answer:
Step-by-step explanation:
∠RPS + ∠QPR = ∠QPS
6x + 11 + 7x + 143 = 180
6x + 7x + 11 + 143 = 180
13x + 154 = 180
13x = 180 - 154
13x = 26
x = 26/13
x = 2
∠RPS = 6x + 11
= 6*2 + 11
= 12 + 11
= 23
The correct answer is option c) unrestricted.
In line 49, "open" most nearly means unrestricted.
Option C is the right answer since the supplied sentence states, "Can a person's uniqueness, dignity, and identity be separated from genetic difference and belief in a person's limitless futures?"
Because the future is unpredictable and indeterminate, it is "open" because no one knows what will happen in the future. So "open" here nearly implies "unrestricted."
Other choices include: Option A signifies clear or straightforward, as we all want our future to be clear. Option B indicates friendly, therefore consider how the future relates to the word friendly.
Option D indicates "not covered, not safe," hence the statement does not fit with the term. Option E denotes that everyone knew or that everyone had rights.
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Answer:
33.75 cubic inches of styrofoam can be placed inside the container.
Step-by-step explanation:
Based on given information, the volume of the prism (), in cubic inches, is determined by using this formula:
(1)
Where:
- Base of the triangular face, in inches.
- Height of the triangular face, in inches.
- Length of the prism, in inches.
If we know that , and , then the volume of the prism is:
33.75 cubic inches of styrofoam can be placed inside the container.
Answer:
scalene
Step-by-step explanation:
all side lengths are different
Answer:
The answer is 4
Step-by-step explanation:
If we let
x equal the number, then,
x 2
+
5
x
=
36
The square is indicated with ^
2
.If we add it to five times that number, or
5
⋅
x
=
5
x
, then we get x
2
+
5
x
=
36
.
This is a quadratic! We subtract 36 from both sides to get x
2
+
5
x
−
36
=
0
.
Solving it, we get
(
x
−
4
)
(
x
+
9
)
.
Remember, though! The number must be positive.
x
>
0
.
Therefore the only possible answer is
x
=
4
.
Yay!