Answer:
31 degrees
Step-by-step explanation:
In order to solve this problem, it's essential to know that all the angles in a triangle add up to 180 degrees.
1. Add 54 and 95. This equals 149.
2. Subtract 149 from 180. This equals 31, which is your answer for that angle.
*When you're looking at a problem like this, sometimes it helps me to first determine if it's larger or smaller than a right angle so I know if my answer should be larger or smaller than 90 degrees.
Answer: y = 3x-8
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Explanation:
The slope is 3, so m = 3
The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)
We'll use m = 3, x = 3 and y = 1 to find the y intercept
y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8
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So we're given m = 3 as the slope and we just found that b = -8 is the y intercept
So y = mx+b updates to y = 3x-8. This is the final answer.
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Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.
The most famous impossible problem from Greek Antiquity is doubling the cube. The problem is to construct a cube whose volume is double that of a given one. It is often denoted to as the Delian problem due to a myth that the Delians had look up Plato on the subject. In another form, the story proclaims that the Athenians in 430 B.C. consulted the oracle at Delos in the hope to break the plague devastating their country. They were advised by Apollo to double his altar that had the form of a cube. As an effect of several failed attempts to satisfy the god, the plague only got worse and at the end they turned to Plato for advice. (According to Rouse Ball and Coxeter, p 340, an Arab variant asserts that the plague had wrecked between the children of Israel but the name of Apollo had been discreetly gone astray.) According to a message from the mathematician Eratosthenes to King Ptolemy of Egypt, Euripides mentioned the Delian problem in one of his (now lost) tragedies. The other three antiquity are: angle trisection, squaring a circle, and constructing a regular heptagon.
Answer:
The ratio of the areas will be will be 1 : 9
Step-by-step explanation:
The linear scale factor represents a ratio that is used to multiply the dimensions of objects so that accurate geometries can be transferred between real-life and paper.
The linear scale factor is quite different from the area scale factor but related to it in the following way:
The area factor can be obtained by squaring the linear scale factor.
This is Area factor = (Linear scale factor) ^2.
Linear scale factor = (1:3)
Area factor = 
Area factor will be 1: 9
Thus, when the linear scale factor is 1:3 the area factor will be 1 : 9
Answer:
Step-by-step explanation:
This might be easier to do in decimals. Let's try it.
3/5 = 0.6
1/10 = 0.1
rate = holes / hours
rate = 0.6/0.1
rate = 6 holes per hour
Try it with fractions.
rate = 
Invert and multiply the 1/10
rate = 
= 30/5 = 6
It's the same answer. Pick the method that you feel most comfortable with.
