The angles in a triangle add up to 180 degrees. That's the same sum as a linear pair, which we get when two lines cross.
1. 180 - 65 - 45 = 70
Answer: 70°
2. 180 - 90 - 35 = 55
Answer: 55°
3. 180 - 120 = 180 - 50 - x
x = 70
Answer: 70°
The ratio is 2:3 for the side lengths of the triangles.
so 6:9 is one side and 5:x would be the other side
2/3 of five is 3.33 and multiplying that by 2 gives you 6.67
Answer:
x ∈ {-5, -1}
Step-by-step explanation:
Here's the solution using the quadratic formula:
The real zeros are -5 and -1.
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There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.
Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.
The ratio of the sides are the same. So 6/24=x/56. This leads to x being 14.
So we can do anything to the equation as long as we do it to both sides
f+0.3<1.7
subtract 0.3 from both sides
f+0.3-0.3<1.7-0.3
f+0<1.4
f<1.4
so f is less than 1.4 not including 1.4
a number line would have a dot that is NOT filled in on 1.4 and then from that dot, it would go in the negative direction forever (normally to the left)
number line included