If vertex T' is at (2,-2) what are the coordinates of vertex s

Find the measures of the following angles.

makvit [3.9K]

Answer:

1: 36° 2: 122° 3: 122° 4: 38°

Step-by-step explanation:

First start out by getting 2 and 3. so 58+angle 3 has to sum to 180° since they are supplementary and are a straight line. So 180-58=122. Angle 2 is the same since theyre vertical. then since a triangle has 180° total, you subtract from 180 to find the final angle measurement.

5 0

3 years ago

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Nikitich [7]

Answer:

Given rhombus ABCD with

m∠EAD = 67°, CE = 5, DE = 12

Properties of a rhombus:

All sides are congruent
Diagonals are perpendicular
Diagonals are angle bisectors
Diagonals bisect each other

Solution, considering the above properties

1. m∠AED = 90°, as angle between diagonals
2. m∠ADE = 90° - 67° = 23° as complementary of ∠EAD
3. m∠BAE = 67°, as ∠BAE ≅ ∠EAD
4. AE = CE = 5, as E is midpoint of AC
5. BE = DE = 12, as E is midpoint of BD

4 0

3 years ago

For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost

andreev551 [17]

Answer:

Height of the goalpost is 9.25 m.

Step-by-step explanation:

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

As we can see in the picture attached, both the angles (θ) are equal.

m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

$\frac{AB}{ED}= \frac{CB}{CD}$

$\frac{1.75}{ED}=\frac{2.6}{13.75}$

ED = $\frac{1.75\times 13.75}{2.6}$

ED = 9.25 m

Height of the goalpost is 9.25 m.

4 0

2 years ago

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

gtnhenbr [62]

Answer:

$n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547$

So the answer for this case would be n=22547 rounded up to the nearest integer

Step-by-step explanation:

Let's define some notation

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=58.2$ represent the population standard deviation

n represent the sample size

$ME =1$ represent the margin of error desire

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be $\alpha=0.01$ and the critical value $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547$

So the answer for this case would be n=22547 rounded up to the nearest integer

3 0

3 years ago

ELECTRICITY The impedance in one part of a series circuit is 1 + 3j ohms and the impedance in another part of the circuit is 7 -

TiliK225 [7]

Answer:

Total impedance in circuit = 8 - 2j ohms

Step-by-step explanation:

Given:

Circuit one = 1 + 3j ohms

Circuit two = 7 - 5j ohms

Find:

Total impedance in circuit

Computation:

Total impedance in circuit = Circuit one + Circuit two

Total impedance in circuit = 1 + 3j + 7 - 5j

Total impedance in circuit = 8 - 2j ohms

5 0

3 years ago