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2 years ago

Figure 1 and figure 2 are show on the coordinate plane below.

Mathematics

1 answer:

anzhelika [568]2 years ago

6 0

Answer:

Which series of transformations can be used to prove that figure 1 is congruent to figure 2?

Step-by-step explanation:

rotation of 90° counterclockwise about the origin and then translation 5 units left

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Which of the following are valid names for the triangle below? Check all that

Tanya [424]

Answer:

A

B

E

Explanation:

The first, third and fifth options are valid as it mentions the three edges; no matter what the order is as long as the three points are mentioned its considered as the valid name

5 0

3 years ago

Find the exact value of sec theta if csc theta = -4/3 and the terminal side of theta lies in quadrant III

GREYUIT [131]

Answer:

-4 sqrt(7)/7

Step-by-step explanation:

csc theta = -4/3

csc theta = hypotenuse / opposite side

hypotenuse = 4

opposite = 3

Using the pythagorean theorem

a^2 + b^2 = c^2

3^2 + b^2 = 4^2

9+b^2 = 16

b^2 = 16-9

b^2 = 7

Taking the square root

sqrt(b^2) = sqrt(7)

b = sqrt(7)

We are in the third quadrant so only tan and cot are positive

that means the x and y values are "negative" so a = -3 and b = - sqrt(7)

sec theta = hypotenuse / adjacent

= 4/ - sqrt(7)

rationalizing

-4 sqrt(7)/ sqrt(7)* sqrt(7)

= -4 sqrt(7)/7

3 0

3 years ago

-3+4x-10=1/2x Please HELP

vesna_86 [32]

Answer:

x=26/7

Step-by-step explanation:

3 0

3 years ago

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final c

Black_prince [1.1K]

Answer:

The test statistic value Z = 4.64 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

Test the claim that the proportion of all children in the town who suffer not from asthma is 11%

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 167

Given data In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma.

Sample proportion

$p^{-} = \frac{x}{n} = \frac{37}{167} = 0.2215$

Given Population proportion 'P' = 11% = 0.11

Step(ii) :-

Null Hypothesis : H₀ : p = 11

Alternative Hypothesis H₁: p≠11

Test statistic

$Z = \frac{p^{-} -P }{\sqrt{\frac{P Q}{n} } }$

$Z = \frac{0.2215 -0.11 }{\sqrt{\frac{0.11 X 0.89}{167} } }$

Z = 4.64

step(iii)

Critical value Z = 1.96

The calculated value Z = 4.64 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

Conclusion:-

Test the claim that the proportion of all children in the town who suffer not from asthma is 11%

4 0

3 years ago

Please answer this correctly

Lubov Fominskaja [6]

The awnser to this is 2 and also 3

7 0

3 years ago