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3 years ago

Can someone help me find angle 3?

Mathematics

1 answer:

dmitriy555 [2]3 years ago

4 0

Answer:

Step-by-step explanation:

corresponding angles are congruent

3 and 7 are corresponding

You might be interested in

Solve for t. 2(t – 7) = 10

blagie [28]

<span>2(t – 7) = 10
2t - 14 = 10 ...expand by using distributive property
2t = 24 .....add 14 to both sides, then simplify
t = 12 ....divide both sides by 2, then simplify

hope it helps</span>

5 0

3 years ago

Read 2 more answers

Simplify completely the quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.

Elanso [62]

Answer:

(A) $3x^3+5x+2$

Step-by-step explanation:

To Simplify: The quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.

Solution: The given statement can be easily rewritten as:

$The quantity 3 times x to the 4th power=3x^4$ ,

$5 times x to the 2nd power=5x^2$ and

$2 times x =2x$

Thus, according to the statement, the expression can be written as:

$\frac{3x^4+5x^2+2x}{x}$

⇒ $3x^3+5x+2$

which is the required simplified expression.

Thus,option A is correct.

5 0

3 years ago

What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)? y = -3/2x+7/2 2y = -3x + 7 2

SOVA2 [1]

Answer:

The equation of the line would be y = -3/2x + 7/2

Step-by-step explanation:

In order to find this, we must first use the slope formula with the two point to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - -1)/(-1 - 3)

m = 6/-4

m = -3/2

Now that we have the slope, we can use that and either point in point-slope form. Then we solve for y.

y - y1 = m(x - x1)

y + 1 = -3/2(x - 3)

y + 1 = -3/2x + 9/2

y = -3/2x + 7/2

3 0

3 years ago

What is x² + 7x - 30

Aleonysh [2.5K]

Are you looking for the value of x?

We can complete the square/factor:

x^2+7x-30=0

(x+10)(x-3)=0

By the zero product property rule, we have two equations, x+10=0 and x-3=0.

So the zeroes of x are -10 and 3

Hope this helped. Comment below if this didn't make sense.

6 0

4 years ago

Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of

Lemur [1.5K]

Answer:

a) $P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

b) $P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

c) $P(X$

And if we use the continuity correction we got:

$P(X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,5)$

Where $\mu=25$ and $\sigma=5$

Part a

For this case we want to find this probability:

$P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

And if we use the z score given by:

$z =\frac{x-\mu}{\sigma}$

We got this:

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

Part b

For this case we want this probability:

$P(X \leq 30)$

And if we use the continuity correction we got:

$P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

Part c

For this case we want this probability:

$P(X$

And if we use the continuity correction we got:

$P(X$

3 0

3 years ago