Answer:
11. c
12. c
Step-by-step explanation:
11. Since Angle RST = 60 degrees, Angle RTS = 60 degrees.
Triangle STU is a right triangle, so Angle STU and Angle SUT are both 45 degrees.
Angle RTS + Angle STU + Angle UTQ = 180 degrees
60 + 45 + Angle UTQ = 180
Angle UTQ = 180 - 105
= 75 degrees
12. Using the corresponding angles theorem, x = 45 degrees and y = 35 degrees.
x + y
45 + 35
80
For this case we have an exponential expression of the form:
We can rewrite the exponential expression using power properties.
We have then:
From here, we take the square root of 36.
We have then:
Answer:
The exponential function is given by:
Answer:
30x - 18
Step-by-step explanation:
6(5x - 3)
<em>Distribute the 6 to both monomials.</em>
6 * 5x = 30x
6 * -3 = -18
<em>Combine both final monomials.</em>
30x - 18
Answer: 8
Step-by-step explanation:
From the question, we are informed that Sandy has 6 sheets of colored paper and that she uses 4 sheets to make posters. Therefore she'll have 2 sheets of coloured paper left. This is gotten by : (6 - 4) = 2 sheets.
Since each rectangle is 1/4 of a sheet of colored paper, the number of greetings card that Sandy will make will be gotten by dividing 2 by 1/4. This will be:
= 2 ÷ (1/4)
= 2 × 4
= 8
Sandy will make 8 greeting cards
