Which congruence theorem, if any, can be used to prove that the triangles are congruent?
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please help!!

Answer:

A) Isaac should get £ 10.75 in change.

B) The price of the e-scooter in the sale is £ 366.3.

Step-by-step explanation:

A) Given that Isaac buys 17 anti-pollution masks for £ 5.25 each, and he pays with five £ 20 notes, to determine how much change Isaac should get, the following calculation must be performed:

(20 x 5) - (17 x 5.25) = X

100 - 89.25 = X

10.75 = X

So Isaac should get £ 10.75 in change.

B) Given that the normal price of an e-scooter is £ 370 and, in a sale, there is 1 off the normal price of the e-scooter, to determine the price of the e-scooter in the sale the following calculation must be performed:

370 - (370 x 0.01) = X

370 - 3.7 = X

366.3 = X

Thus, the price of the e-scooter in the sale is £ 366.3.

Answer:

This is NOT a solution

Step-by-step explanation:

If we plug in the coordinates (-4,3) into 4x-y our new equation is 4×-4-3 and if we solve this equation.... 4×-4=-16 and -16-3=-19 which does NOT equal to -13

Answer:

.....

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: C: 204 ft

Step-by-step explanation: plz mark me brainliest. 12x17=204

Answer:

option B is correct answer

because it is similar by AA similarity -.theorum

In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. the length of r, to the nearest 10th of an inch, is 365.9 Inches

Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.

a/Sin A = b/Sin B = c/Sin C

Where a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.

Hence,

58/Sin 19 = r/Sin 115

r = 58 Sin 115/ Sin 19

= 365.9 Inches

Therefore, In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. the length of r, to the nearest 10th of an inch, is 365.9 Inches.

Learn more about sine rule;

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Answer:

A) P(X ≥ 3 ) = 0.7648

B) P(X ≥ 6) = 0.7515

C) P(X < 5) = 0.0949

D) P(X < 6) = 0.00031113

Yes. This is likely to happen if the true value of p is 0.65

E) P(X ≥ 17) = 0.012118

No. This is unlikely to happen if the true value of p is 0.65

Step-by-step explanation:

Solving this question means we have to deal with binomial probability distribution which follows a formula;

P(X = x) = C(n, x) * p^(x) * (1 - p)^(n - x)

We are given p = 65% = 0.65

A) probability of getting At least 3 out of the 5 business days, we have;

P(X ≥ 3 ) = P(X = 3) + P(X = 4) + P(X = 5)

And n = 5

Thus;

P(X = 3) = C(5, 3) × 0.65³ × (1 - 0.65)^(5 - 3)

P(X = 3) = 0.3364

P(X = 4) = C(5, 4) × 0.65⁴ × (1 - 0.65)^(5 - 4)

P(X = 4) = 0.3124

P(X = 5) = C(5, 5) × 0.65^(5) × (1 - 0.65)^(5 - 5)

P(X = 5) = 0.116

Thus;

P(X ≥ 3 ) = 0.3364 + 0.3124 + 0.116

P(X ≥ 3 ) = 0.7648

B) Probability of getting at least 6 out of the 10 business days.

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

From online binomial calculator, we have;

P(X = 6) = 0.2377

P(X = 7) = 0.2522

P(X = 8) = 0.1757

P(X = 9) = 0.0725

P(X = 10) = 0.0134

P(X ≥ 6) = 0.2377 + 0.2522 + 0.1757 + 0.0725 + 0.0134

P(X ≥ 6) = 0.7515

C) probability of getting fewer than 5 out of the 10 business days.

P(X < 5) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 4) = 0.0689

P(X = 3) = 0.0212

P(X = 2) = 0.0043

P(X = 1) = 0.0005

P(X < 5) = 0.0689 + 0.0212 + 0.0043 + 0.0005

P(X < 5) = 0.0949

D)probability of getting fewer than 6 out of the next 20 business days;

P(X < 6) = P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 5) = 0.000261

P(X = 4) = 0.000044

P(X = 3) = 0.0000056

P(X = 2) = 0.0000005

P(X = 1) = 0.00000003

P(X < 6) = 0.000261 + 0.000044 + 0.0000056 + 0.0000005 + 0.00000003

P(X < 6) = 0.00031113

Yes, in this scenario, It is likely to happen and I would think p is less than 0.65 because probability is less than 1 out of 1000.

E) probability of getting more than 17 out of the next 20 business days.

P(X ≥ 17) = P(X = 18) + P(X = 19) + P(X = 20)

From online binomial calculator, we have;

P(X = 18) = 0.0099846

P(X = 19) = 0.00195187

P(X = 20) = 0.00018125

P(X ≥ 17) = 0.0099846 + 0.00195187 + 0.00018125

P(X ≥ 17) = 0.012118

Probability is around 12 in 100 and not up to 50%. Thus, This is unlikely to happen if the true value of p is 0.65

Answer:

not equivalent.

Step-by-step explanation:

Answer:

6(5·7)

Step-by-step explanation:

Given function:

what distributive property is:

Factoring out the greatest common factor:

Rewrite the expression using parentheses:

Therefore, with using distributive property, we can change the expression 30+42 into 6(5·7).

answer:

6(5+7)

step by step eqaution:

6(5+7)

Answer:

see in the picture, we can see that SPRQ is a parallelogram

=> 70 = 14x

⇔ x = 70/14

⇔ x = 5

Step-by-step explanation:

Answer: they are corresponding

Step-by-step explanation:

this means they are basically in the same spot and they are congruent

Answer:

145° I think

Step-by-step explanation:

the number sequence

Answer:

the answer is 38 cm

Step-by-step explanation:

10+6+(6x3)+4=38 the 2 missing numbers are 2cm and 3cm

Answer:

x=8ft

Step-by-step explanation:

the triangle was multiplied by 2

3x3=6

4x4=8

Answer:

$57

Step-by-step explanation:

40%=0.4

95*0.4=38

95-38

57

Answer:

30

Step-by-step explanation:

it counting by 2s but backwards

Answer:

20

Step-by-step explanation:

subtract by 2

jajakkalalallalalslsl [ignore this]

Answer:

3

Step-by-step explanation:

Answer:

X = 4

y = 15

Step-by-step explanation:

I hope that is useful for you :)

Answer:

2nd picture is right......

Answer:

the second one

Step-by-step explanation:

it is a reflection of the triangle on the left

Answer:

-0.499

Step-by-step explanation:

Isnt that it? xD

or 1.41

x = 6

Explanation:

use the pythagorean theorem which is a^2 + b^2 = c^2. 8 goes in either the a or b position and 10 is the longest side so it will go in the c position.

Answer:

45/58 it is already in simplest form

Step-by-step explanation:

Answer:

1 17/40

Step-by-step explanation:

[tex]\frac{5}{8} + \frac{4}{5} \\[/tex]

Find the common denominator, which is 40

so then 5/8 = 25/40 and 4/5 = 32/40

[tex]\frac{25}{40} + \frac{32}{40} = \frac{57}{40} = 1 \frac{17}{40}[/tex]

Answer:

the total weight sold is 750g

Step-by-step explanation:

300+150=450

450+300 = 750

please mark me as brainliest its beside the rate sign and it looks like a king icon

Answer:

The first is 26 and the second is 6

Step-by-step explanation:

Spinner 2

Probability helps us to know the chances of an event occurring. Sam should use the second spinner.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Sam plans to use a spinner to choose which friend to invite to the movies, he wants each friend to have a fair chance of being selected.

The term fair means that everyone or everything that is in the list should have equal opportunity.

Now, since Sam wants each friend to have a fair chance of being selected, therefore, the area on the spinner for each friend should be equal.

Hence, Sam should use the second spinner.

Learn more about Probability here:

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