Answer: x = 123
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Here are the basic steps:
Step 1) Find the measure of angle 7 (near the 35 degree angle)
Step 2) Find angle 6 (in the center; bottom angle)
Step 3) Use angle 6 to find the value of x
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Let's go through those steps mentioned
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Step 1) Finding the measure of angle 7
We see that the 35 degree angle and angle 7 combine to form a 90 right angle. So they must add to 90 degrees
(angle 7) + 35 = 90
(angle 7) + 35 - 35 = 90 - 35
angle 7 = 55
So angle 7 is 55 degrees. We'll use it on the next step
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Step 2) Finding the measure of angle 6
We'll use the result from step 1. The triangle with angle 7, angle 6, and the 68 degree angle will be focused on here. Recall that for any triangle, the three angles must add to 180 degrees.
So,
(angle 7) + (angle 6) + 68 = 180
(55) + (angle 6) + 68 = 180
(angle 6) + 55 + 68 = 180
(angle 6) + 123 = 180
(angle 6) + 123 - 123 = 180 - 123
angle 6 = 57
So we now know that angle 6 is 57 degrees
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Step 3) Find x
We now use the fact that angle 6 and angle x are a linear pair. They combine to form a straight line, or straight angle. In other words they add to 180 degrees (they are supplementary angles)
So,
(angle 6) + x = 180
(57) + x = 180
x + 57 = 180
x + 57 - 57 = 180 - 57
x + 57 - 57 = 123
x = 123
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Side note: we can use the exterior angle theorem to skip over step 2. To do this, we add up angle 7 (which was 55 degrees) to 68 to get 123 degrees which is the same answer.
Answer:
d-all of these options are valid interpretations of this graph
Step-by-step explanation:
Logarithmic scales are not linear, and they are used for large range of possitive numbers. The value represented by each equidistant mark on the scale is the value at the previous mark multiplied by a constant, in this case 10.
So, in large islands, large incresaes have a small effect ( the distance is the same from islands thas has 100 to 90 square miles, than for 2 islands measuring 10 to 9).
I would say the first one (A)
Ok this is really easy. you are going to multiply 45.80 by 0.20 you see the two dots on the percent sign % well that is how many spots to the left you are going to move your decimal point. Which well make you have 0.20 instead of 20%. and your answer will be $9.16 and if you want to know the total just add $9.16 to $45.80 then your answer will be $54.96
Put more questions up on brainly.com.
But besides that, thinking about math and such from a different view can sometimes make it more efficient in the long run. Algebra and Geometry become nothing once you get them down to a science, it just comes down to practice.
PS, I could've reported this, but decided to give it a shot because I might be saving you some thinking here. If you got more questions, don't hesitate to ask and I will give you a full answer and explanation if it'll help you get through. Let me know! =)
