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2 years ago

In the diagram, DG = 12, GF = 4, EH = 9, and HF = 3

Mathematics

2 answers:

Wittaler [7]2 years ago

7 0

Answer:

The answer would be: C. ∠DFE is congruent to ∠GFH.

Step-by-step explanation:

sineoko [7]2 years ago

6 0

The answer would be: C. ∠DFE is congruent to ∠GFH.

From the question, it is stated that the ratio of DF/GF and EF/HF would be 1:3. The ratio of two sides is already same so you can fulfil the two side criteria from SAS. The remaining is only the angle that should be between those two sides. The angle of DFE should be same with GFH

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The average length of time that three lawn-service mowers operate on a given day is 930 minutes. None of the mowers operates for

Zielflug [23.3K]

Answer:

The answer is A. 990.

Step-by-step explanation:

Now, to find the greatest possible length of time any of the mowers operates.

The 3 lawn-service mowers operate at the average length of time = 930 minutes.

So, the total length of time the 3 lawn mowers take = $930\times 30=2790\ minutes.$

The least length a mowers operates = 900 minutes.

Now, to find the greatest possible length of time any of the mowers operates:

Let $x$ be the greatest possible length of time any of the mowers operates.

As, any one of the mowers operates greatest length.

So, rest of the two mowers be least at length.

According to question:

$x+900+900=2790$

$x+1800=2790$

Subtracting both sides by 1800 we get:

$x=2790-1800$

$x=990.$

Thus, the greatest possible length of time any of the mowers operates is 990 minutes.

Therefore, the answer is A. 990.

3 0

2 years ago

FreezeFrame, a social networking site, sent out a survey in which the users simply click a response to join the sample. One of t

kramer

Answer:

Here, Convenience sampling is used by the poll

Explanation:

Convenience sampling also called as opportunity, grab or accidental sampling is a kind of non-likelihood testing that includes the sample being drawn from that piece of the populace that is near hand. This sort of sampling is most valuable for pilot testing.

Convenience sampling is a procedure used to make sample according to straightforward entry, readiness to be a sample's part , accessibility at a given scheduled slot.

So, this method of sampling is biased and don't results in desired outcomes.

7 0

2 years ago

The function f(x)=(x-1)^2-4 is not one-to-one. If you restrict the domain for f(x) to x(less than or equal to symbol)1, what is

olasank [31]

$\text{We have been given the function }\\
f(x)=(x-1)^2-4\\
\text{Let f(x)=y}\\
y=(x-1)^2-4\\
\text{Swap x and y, we get}\\
\\
x=(y-1)^2-4\\
\text{Now we solve for y}\\
(y-1)^2=x+4\\
\\
y-1=\pm \sqrt{x+4}\\
\\
y=1\pm \sqrt{x+4}\\
\\
f^{-1}(x)=1\pm \sqrt{x+4}\\$

$x+4\geq 0\\
x\geq -4\\
\text{Thus, the domain is given by}\\
x\in [-4,\infty )$

5 0

2 years ago

Read 2 more answers

Using a sixteen-sided number cube, what is the probability that you will roll an even number or an odd prime number? The number

grandymaker [24]

1. Let a: rolling an even number, b: rolling an odd prime number

2. a={2, 4, 6, 8, 10, 12, 14, 16}, b={3, 5, 7, 11, 13}

3. So n(a)=8, n(b)=5 , n(Sample Space)=n(S)=16

4. Since a and b are mutually exclusive events, that means they have no common elements, P(a or b)=P(a)+P(b)= $\frac{n(a)}{n(S)}+ \frac{n(b)}{n(S)}= \frac{8}{16}+ \frac{5}{16}= \frac{13}{16}= 0.813$

8 0

2 years ago

14x^2 + 37x + 5....Richard is designing a new website for students to create study groups and collaborate with other students.

Furkat [3]

Answers:
1) The constant of the polynomial expression represents the:
number of group members when the site launches

2) The binomial (1+7x) is a factor of the polynomial expression and represents the:
number of members per group after x months

Solution:
1) The estimate for the total number of groups members (y) is given by the polynomial expression:
y=14x^2+37x+5
where x is the number of months since the site's launch.

When the site launchs:
x=0→y=14(0)^2+37(0)+5=14(0)+0+5=0+0+5→y=5
The number of group members when the site launches is 5
And the problem says: "The site will launch with five study groups"

2) The site will launch with five study groups, each with its creator as its only member, then the number of members per group is 1.
Richard estimates that seven new members will be added to each study group every month (x), then:
The number of members per group after x months will be: 1+7x

6 0

2 years ago