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3 years ago

Two angles that can be trisected with a straightedge and compass are

Mathematics

1 answer:

olga55 [171]3 years ago

5 0

90°, 45°

Step-by-step explanation:

Two angles that can be trisected with a straightedge and compass are 90° and 45° angles

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Find the equation of the graphed line.

belka [17]

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y = \dfrac{5}{2}x + 5\bigg) \ is \ correct }}}$

<h3>Step-by-step explanation:</h3>

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

$\large\boxed{\orange{\bf y = mx + c} }$

We know that slope is $\tan\theta$ . So here slope will be ,

$\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2}$

Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).

$\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}$

<h3>Hence option [ d ] is correct . </h3>

4 0

3 years ago

What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=10?

Sonja [21]

Since this equation is already in standard form, there is no need to convert it. Standard form is Ax + By = C. In this equation, 7 = A, 3 = B, and 10 = C. From standard form, Ax + By = C equals negative A over B.

7x + 3y = 10

↓

$\displaystyle\ m= \frac{-7}{-3}$

Then you'd simplify.

$\displaystyle\ m=\frac{7}{3}$

The slope cannot be simplified any more, so this would be the final answer.

- Marlon Nunez

7 0

3 years ago

An education researcher claims that 58% of college students work year-round. In a random sample of 400 college students, 232

Hatshy [7]

Answer:

The proportion of college students who work year-round is 58%.

Step-by-step explanation:

The claim made by the education researcher is that 58% of college students work year-round.

A random sample of 400 college students, 232 say they work year-round.

To test the researcher's claim use a one-proportion z-test.

The hypothesis can be defined as follows:

H₀: The proportion of college students who work year-round is 58%, i.e. p = 0.58.

Hₐ: The proportion of college students who work year-round is 58%, i.e. p ≠ 0.58. C

Compute the sample proportion as follows:

$\hat p=\frac{232}{400}=0.58$

Compute the test statistic value as follows:

$z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.58-0.58}{\sqrt{\frac{0.58(1-0.58)}{400}}}=0$

The test statistic value is 0.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

$p-value=2\times P(z$

*Use a z-table for the probability.

The p-value of the test is 1.

The p-value of the test is very large when compared to the significance level.

The null hypothesis will not be rejected.

Thus, it can be concluded that the proportion of college students who work year-round is 58%.

6 0

4 years ago

Which statement about the numbers 22.407 and 22.416 is true? 22.407 = 22.416 because the values of the 4 in the tenths places ar

lara [203]

Answer:

22.407 < 22.416 because the value of the 0 in the hundredths place is less than the value of the 1.

SHOW ANSWER

Step-by-step explanation:

4 0

3 years ago

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7. Sarah draws a card from a standard deck, throws the card away, and then draws another card.

VashaNatasha [74]

Answer:

dependent

Step-by-step explanation:

7 0

3 years ago