Answer:
<u>Angle 1</u>= 180 - 110 = 70 (straight angle)
<u>Angle 2</u> = 180 - 115 =65 (straight angle)
<u>Angle 3</u>= angle 2 =65 (corresponding alternating angles)
<u>Angle 4</u> =180 - angle3 = 180 - 65 = 115 (straight angle)
<u>Angle 5</u> = 180 - angle 1 - angle 3= 180 - 70 - 65 = 45 (sum of triangle angles is equal to 180)
<u>Angle </u><u>6</u> = angle 5= 45 ( interior alternating angles)
<u>Angle</u><u> </u><u>7</u><u> </u>= angle 6= 45 (vertical opposite angles)
<h3>
</h3>
Answer: -20, 48
Step-by-step explanation: 5 x -4 = -20 6 x 8 = 48
For problems like this, change the wording into simple algebraic
formulas. We know that the area of a rectangle is its width times its
length, or A=LW. The problem tells you that the area is 48, so LW=48.
Also, if the length = twice the width minus 4, then L=2W-4.
From here, substitute your new L value for the L in the first equation:
48=LW --> 48=(2W-4)W
Now solve this equation by factoring it out into a polynomial:
48=2W^2-4W --> 24=W^2-2W --> W^2-2W-24=0 --> (W+4)(W-6)=0.
Solving this equation gives us W values of 6 and -4, but since the width
of a rectangle cannot be negative, the width must be 6.
Since L=2W-4, then L=2(6)-4 --> L=12-4 = 8. Therefore, the dimensions are 6X8, or 6 feet by 8 feet.
To check our work: The length equals four feet less than twice the width: 8=2(6)-4 --> 8=12-4 --> 8=8. This checks out.
Also, the area is 48 ft^2, and (6)(8) = 48, so this also checks out.
Hopefully this helps. If you need any more help or if I went over something too quickly, just let me know.
Answer: 3^2
Step-by-step explanation:
remember logb a=n <---> a=b^n
so therefor the answer is log3 9=2 ---> 9 = 3^2
