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Svetradugi [14.3K]
3 years ago
13

HELP ASAP MARKING AS BRINLIST

Mathematics
2 answers:
weeeeeb [17]3 years ago
8 0

Answer:

Because they are equal (Right angle)

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

RUDIKE [14]3 years ago
4 0

Answer:

Hello There the answer is Δ QUT ≅ Δ SVR. (Proved)

Step-by-step explanation:

See the given diagram below.

Given that QV = SU

⇒ - QV = - SU

⇒ QS - QV = QS - SU

⇒ SV = QU .......... (1)

Now, also given that QT = SR

Then between Δ QUT and Δ SVR,  

(i) QT = SR {Given}

(ii) QU = SV {Already prooveed}

and  (iii) ∠ QUT = ∠ SVR {They are 90°}

Therefore, by Side-Side-Angle i.e. SSA criteria it is proved that Δ QUT ≅ Δ SVR. (Proved)

Hope it helps!

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PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

7 0
3 years ago
A line passes through (−2, 5) and has slope 13 . What is an equation of the line in point-slope form
ruslelena [56]
Y - y1 = m(x - x1)
slope(m) = 13
(-2,5)...x1 = -2 and y1 = 5
sub...pay attention to ur signs
y - 5 = 13(x - (-2)...not done yet
y - 5 = 13(x + 2) <== point slope form
3 0
3 years ago
I NEED HELP!!! ASAP!!!
omeli [17]

Answer:

A.

Step-by-step explanation:

In the picture, the estimated slope goes down, so it has to be negative, eliminating 2, B and D

It isn't a gradual line, as 6x is, so that is eliminated.

When we look at the estimated line, we can count out on the grid 3 to the right and 4 down, doing that a few times.  If you then connect the dots, it will be a line probably very close to your estimate.

6 0
3 years ago
Help me find x please
Sedaia [141]

Answer:

\displaystyle 13 = x

Step-by-step explanation:

All three angles in an equilateral triangle are equivalent, and they sum up to 180°, so each angle measures 60°:

60° = [8x - 44]°

+ 44° + 44°

____________

\displaystyle \frac{104°}{8} = \frac{[8x]°}{8} \\ \\ 13° = x

I am joyous to assist you anytime.

6 0
3 years ago
PLEASE HELP PLEASE HELP I WILL GIVE BRAINLIEST
aliya0001 [1]

Answer:

Jenna's line would be: C Line L

Step-by-step explanation:

The x coordinates and y coordinates from Jenna's table matches up with the points on Line L. Hope this helped! :)

5 0
3 years ago
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