Answer:
65 degrees
Step-by-step explanation:
65 degrees
it is 65 because of the vector relationship: 30 + 100 = 130. 130/2=65 degrees
Answer:
The third one counting from the top.
Step-by-step explanation:
We have the inequality:
(-1/3)*(2x + 1) < 3
The first thing we need to do is isolate x on one side of the inequality.
First we can by -3 in both sides of the inequality, and remember, because we are multiplying by a negative number, the inequality sign changes its direction:
(-3)*(-1/3)*(2x + 1) > 3*(-3)
(2x + 1) > -9
Now we can subtract 1 in both sides:
2*x + 1 - 1 > -9 - 1
2*x > -10
Now we can divide by 2 in both sides:
2*x/2 > -10/2
x > -5
Then we should see a number line such that all the points at the right of -5 are colored.
The correct option is the third one, counting from the top.
Answer:
23. x = 4; DE = 44
24. x = 25; DS = 28
Step-by-step explanation:
23. Point S is the midpoint of DE, so ...
DS = SE
3x +10 = 6x -2
12 = 3x . . . . . . . . . add 2-3x
4 = x . . . . . . . . . . . divide by 3
Then DS has length ...
DS = 3x +10 = 12 +10 = 22
and DE is twice that length, so ...
DE = 44
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24. DS is half the length of DE, so is ...
DS = DE/2 = 56/2
DS = 28
Then x can be found from ...
DS = x +3
28 -3 = x = 25 . . . . . substitute value for DS
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<em>Comment on problem 24</em>
Sometimes it is easier to work parts of a problem out of sequence. Here, finding DS first makes finding x easier.
Answer:
all work is shown and pictured
