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nexus9112 [7]
3 years ago
9

Use this image to classify each pair of lines.

Mathematics
2 answers:
maks197457 [2]3 years ago
5 0

First Answer and Last Answer are correct.

The two middle should be reconsidered, you can't really tell if they are technically Perpendicular.

So the correct answer should be "Can't be determined" for the middle two.

VladimirAG [237]3 years ago
3 0

1. Lines AB and CD are both perpendicular to the line EF, then AB || CD (parallel).

2. The relation between lines CD and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect (or any data about parallelity GH to EF or IJ).

3. The relation between lines AB and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect (or any data about parallelity GH to EF or IJ).

4. Lines IJ and CD are perpendicular (IJ⊥CD) because they intersect each other at right angle.

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alexdok [17]

The vertex of this parabola is at (3,-2). When the x-value is 4, the y-value is 3: (4,3) is a point on the parabola. Let's use the standard equation of a parabola in vertex form:

y-k = a(x-h)^2, where (h,k) is the vertex (here (3,-2)) and (x,y): (4,3) is another point on the parabola. Since (3,-2) is the lowest point of the parabola, and (4,3) is thus higher up, we know that the parabola opens up.

Substituting the given info into the equation y-k = a(x-h)^2, we get:

3-[-2] = a(4-3)^2, or 5 = a(1)^2. Thus, a = 5, and the equation of the parabola is

y+2 = 5(x-3)^2 The coefficient of the x^2 term is thus 5.

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5 0
2 years ago
​Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in​ dormitories, how
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Step-by-step explanation:

7 0
3 years ago
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According to the Statistical Abstract of the United States, in 2000, 10.7% of Americans over 65 years of age use the Internet. A
Dvinal [7]

Answer:

H0 : μ = 0.107

H1 : μ ≠ 0.107

Step-by-step explanation:

The claim is the alternative hypothesis. H1 ; which is a researcher's opinion that the proportion of Americans aged 65 and above using the internet as changed from the mean value of 10.7% (0.107). The direction of the change is not given, hence. We cannot use the greater or less Than sign as the direction of the change isn't specified by the researcher or data Given. Hence, the shift could be either to the right or left. Hence, the use of the equal to and not equal to sign.

The null will oppose the alternative hypothesis and take the stance that the proportion hasn't changed from the initial mean.

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2 years ago
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It's 45 because they are congruent. If the vertex is in the center of a circle then the angle and the arc are congruent
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3 years ago
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