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3 years ago

Pls help due asap! Pls SHOW WORKINGS

Mathematics

2 answers:

Elden [556K]3 years ago

6 0

Answer:

Step-by-step explanation:

The way SkiffMacKinaw did this problem is the way it should be done. There is another way of doing it by extending both arms of <1 until they intersect p and q and solve the triangle hanging from p.

You then find the the angles of the triangle. The vertex angle is the supplement to <1.

This method works but it is not nearly as elegant as the original answer. This is one of the best awarded Brainliests I've seen lately.

sladkih [1.3K]3 years ago

3 0

Answer:

$m\angle 1=95^{\circ}$

Step-by-step explanation:

If we drew an auxiliary line parallel to line $p$ and line $q$ that intersects the vertex of $\angle 1$ , we would form three angles, one of them being

The largest of these angles corresponds with the angle marked as $148^{\circ}$ .

The angle on the bottom right corresponds with the angle next to the one marked as $63^{\circ}$ . Therefore, its measure is $180-63=117^{\circ}$ .

Since there are $360^{\circ}$ in a circle, we can now write the following equation:

$m\angle 1+117+148=360,\\m\angle 1=\fbox{$95^{\circ}\checkmark$}$ .

You might be interested in

A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of

diamong [38]

Answer:

The point estimate for the true difference between the population means is 0.13.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

Step-by-step explanation:

To solve this question, before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When we subtract two normal variables, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

A sample of 263 cars owned by students had an average age of 7.25 years. The population standard deviation for cars owned by students is 3.77 years.

This means that:

$\mu_s = 7.25, \sigma_s = 3.77, n = 263, s_s = \frac{3.77}{\sqrt{263}} = 0.2325$

A sample of 291 cars owned by faculty had an average age of 7.12 years. The population standard deviation for cars owned by faculty is 2.99 years.

This means that:

$\mu_f = 7.12, \sigma_f = 2.99, n = 291, s_f = \frac{2.99}{\sqrt{291}} = 0.1753$

Difference between the true mean ages for cars owned by students and faculty.

Distribution s - f. So

$\mu = \mu_s - \mu_f = 7.25 - 7.12 = 0.13$

This is also the point estimate for the true difference between the population means.

$s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2325^2+0.1753^2} = 0.2912$

90% confidence interval for the difference:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = zs = 1.645*0.2912 = 0.48$

The lower end of the interval is the sample mean subtracted by M. So it is 0.13 - 0.48 = -0.35 years

The upper end of the interval is the sample mean added to M. So it is 0.13 + 0.48 = 0.61 years.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

5 0

3 years ago

A 2.25 units<br> C 5 units<br> B 4 units<br> 0 16 units

S_A_V [24]

Answer:

Step-by-step explanation:

If 2 chords of a circle intersect, then the product of the parts of one chord is equal to the product of the parts of the other chord , that is

BW × WD = AW × WC ( substitute values )

6 BW = 3 × 8 = 24 ( divide both sides by 6 )

BW = 4 units

5 0

3 years ago

Read 2 more answers

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution se

Anestetic [448]

(2/5)(x-1)<(3/5)(x+1) perform indicated multiplications

(2x-2)/5<(3x+3)/5 multiply both sides by 5

2x-2<3x+3 add 2 to both sides

2x<3x+5 subtract 3x from both sides

-x<5 divide both sides by -1 (remember to reverse direction of inequality sign when multiplying/dividing by a negative value)

x>-5

6 0

3 years ago

What property is this?<br> if -8q = -56 then q = 7

antoniya [11.8K]

Answer:

id say the property is substitution

Step-by-step explanation:

i think substitution because youre substituting 7 for q so then the problem reads: -8(7)=-56

3 0

3 years ago

Right and solve a system of equations a rectangle has a perimeter of 34 cm and an area of 52 cm² its length is five more than tw

Zina [86]

Answer:

Lenght = 13, Width = 4

Step-by-step explanation:

Perimeter:

2(L + W) = 34

=> 2L + 2W = 34

Area:

L * W = 52

L = 2W + 5

L - 2W = 5

----------------------------

How to find the Length:

Now Add:

2L + 2W = 34

+ L - 2W = 5

-------------------------

3L = 39

L = 13

How to find the Width:

L * W = 52

13 * W = 52

W = 4

======================

Length = 13

Width = 4

5 0

3 years ago