Answer:
1<x<6
Step-by-step explanation:
subtract 1 from every side: 2<2x<12
divide 2 every side: 1<x<6
Answer:
the height of the building is 86.6m
Step-by-step explanation:
In the right triangle, the height which we are looking for is the opposite side, since it is opposite to the angle 60°
Now we need to find the height of the building
tanθ = Opposite side/Adjacent side
tan 60° = Opp side/Adj side
1.7321 = Opp side/50
1.7321 x 50 = Opp side
Opp side = 50 x 1.7321
Opp side = 86.6 m
Therefore, the height of the building is 86.6m.
Answer:
D. 
Step-by-step explanation:
We have been given an image of a circle. We are asked to find the measure of arc WX.
Upon looking at our given diagram, we can see that angle S is formed by intersecting secants outside the circle.
We will use intersecting secants theorem, which states that measure of an angle formed by two intersecting secants outside a circle is half the difference of intercepted arcs.
Using above theorem, we can set an equation to find the measure of arc WX as:
Therefore, the measure of arc WX is 32 degrees and option D is the correct choice.
Answer: The ratio of yellow card to red card is 4:7.
Step-by-step explanation:
We can describe the rate of A to B as A:B.
Given: Lucy has a game that uses yellow cards and red cards the ratio of yellow card to red card is 4 to 7.
Then, the statement is another way to describe this ratio would be 4:7.
Required statement: The ratio of yellow card to red card is 4:7.
Answer:
x=16, y=39
Step-by-step explanation:
to solve y=2x+7
Substitute 2x+7 for y in y=3x−9
y=3x−9
( solve this like a normal problem)
2x+7=3x−9 (Add -3x to both sides)
-x+7=-9 (Add -7 to both sides)
-x=-16 (Divide both sides by -1)
x=16
Now that you found x you can substitute this in the other problem.
y=3(16)-9
y=39
Hopefully this helped!
