ASAP Josh and Leon have £73 in total. They each spend £5. Josh now has 25% more than Leon. How much more money did Josh have than Leon at the start?

A transversal is a straight line that intersects two parallel lines forming four angles at each point of intersection. Thus the required answers to the given question are:

i. Side NM is parallel to side XZ.

ii. Using the corresponding property

iii. <XYZ is congruent to <NYM

iv. ΔXYZ is similar toΔNYM by SAS theorem

Two or more angles are said to be congruent if and only if they have equal measure. This property can be used to relate equal angles.

While a transversal is a straight line that intersects two parallel lines forming four angles at each point of the intersection.

The required answers to the question are as stated below:

i. Side NM is parallel to side XZ.

ii. The corresponding property

iii. <XYZ is congruent to <NYM

iv. ΔXYZ is similar toΔNYM by SAS theorem

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Answer: For the first box it is parallel, for the second box it is the corresponding angles theorem, the third is NYM, and the last one is AA.

Step-by-step explanation: 1.) Since line NM has an arrow on it's line and XZ has an arrow on it's line, that means that those two line are parallel to each other. 2.) Since both triangle contain the same transversal line (NY) and the corresponding angles theorem states that if a transversal intersects parallel lines, the corresponding angles are congruent. From this we can conclude that this means that the angle <YXZ has is congruent to the angle <YNM. Therefore we use the corresponding angles theorem. 3.) Answer 2 basically answers box number three but since we concluded that Angles of <YXZ and <YNM are both congruent <NYM would be your answer its just flipped. 4.) We use the AA theorem, because the AA theorem states that if an angle or angle(s) of one triangle is congruent to another angle/angle(s) of another triangle, then the triangles are similar (congruent). Therefore we would use the AA theorem.

Hope this helps :)

By the way this is the answer for EDGE in 2023

Answer:

  y = x³ +2x² -x -2

Step-by-step explanation:

A polynomial with root q has a factor (x -q). The factored form of the polynomial is ...

  y = (x -1)(x +1)(x +2)

  y = (x² -1)(x +2) . . . . . . partial simplification

  y = x³ +2x² -x -2

Answer:

2nd option is the answer.

Step-by-step explanation:

When (f + g)(x) = 0,

f(x) + g(x) = x² + 6x + 4 = 0.

Therefore (x + 3)² - 5 = 0, we have

x = sqrt5 - 3 or x = -sqrt5 - 3.

Using the Law of Cosines the value of c is approx 15 cm.

In the given question, in ∠ABC, a = 11 cm, b = 14 cm, and m∠C = 73 degrees. Use the Law of Cosines we have to determine c to the nearest tenth of a centimeter.

The law of cosines in trigonometry establishes a relationship between a triangle's side lengths and the cosine of one of its angles.

The formula of Law of Cosines is

\({\displaystyle c^{2}=a^{2}+b^{2}-2ab\cos \gamma ,}\)

Now putting the value in the formula

\(c^{2}=(11)^{2}+(14)^{2}-2\times11\times14\times\cos73\)

Now solving,

\(c^{2}\) = 121+196-308×0.29

\(c^{2}\) = 317-89.32

\(c^{2}\) = 227.68

Taking square root on both side

c = 15.09

c = 15 (approx)

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The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

\(L^2 + 5^2 = 13^2\)

where L is the length of the fabric.

Solving for L, we get:

\(L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.\)

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Answer:

20 minutes on the stationary bike

10 minutes on the treadmill

Step-by-step explanation:

x = minutes on bike

y = minutes on treadmill

x + y = 30

12x + 15y = 390

x = 30-y

12(30-y) + 15y = 390

360 - 12y + 15y = 390

3y = 30

y = 10

x + 10 = 30

x = 20

Answer:

\( \frac{7 \sqrt{39} }{5} \)

Step-by-step explanation:

Use the Pythagorean theorem:

\(( {11.2})^{2} - { {7} }^{2} = 76.44 > 0\)

The missing side is equal to:

\( \sqrt{76.44} = \frac{7 \sqrt{39} }{5} \)

Answer:

8 students got an A

Step-by-step explanation:

31%+44% = 75% so that must mean 25% of the class got As. So \(\frac{25}{100}= \frac{x}{32}\)

Cross multiply and you'll get 800 = 100x, solve that and 8 is your answer. Hope this helps!

Answer:

13 more cups of trail mix or 13 1/4 cups

Step-by-step explanation:

1 1/2 (nuts) + 1/4(raisins) + 1/4(pretzels)=2 cups of trail mix

15-2=13

Measure of arc MLK is 270°

Angle MKL = 135 degrees

We are looking for the measure of the arc MLK

The diagram shows an angle formed by a chord (MK) and tangent

The relationship between angle formed by a chord and tangent:

Measure of arc MLK:

Answer: 8m

Step-by-step explanation:

Answer:

216 people

Step-by-step explanation:

Given:

2.5 feet² is occupied by 1 person

Dimension of room = 216 in × 360 in

Required:

No. of people that would occupy the room

SOLUTION:

Step 1:

Convert the dimensions of the room from in to ft

Note: 1 foot = 12 inches

216 inches = \( \frac{216}{12} = 18 ft \)

360 inches = \( \frac{360}{12} = 30 ft \)

Step 2: calculate area of the room.

Area of the room = 30*18 = 540 ft²

Step 3: calculate the no. of people the room will contain.

2.5 ft² will contain one person

Therefore, 540 ft² will contain: \( \frac{540}{2.5} = 216 people \)

The dimension the  a box with a square end the largest possible volume is 10 ×10 × 23.3

First, we will need to complete the question.

Let us assume that its dimensions are h by h by w and its girth is 2h + 2w.

Volume = h²w

Where h is the length

w is the girth

From the information given, we have;

Length + girth = 90

w+(2h+2w) = 90

2h + 3w = 90

Make 'w' the subject

w = 90- 2h/3

w = 30 - 2h/3

Substitute the values

Volume = h²(30 - 2h/3)

expand the bracket

Volume = 30h² - 2h³/3

Find the differential value

Volume = 60h - 6h²

h = 10

Substitute the values

w =  30 - 2h/3

w = 30 - 2(10)/3

w = 30 - 20/3

w = 23.3 in

The dimensions are 10 ×10 × 23.3

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Answer: B

Step-by-step explanation:

B is the correct one because the $50 is one time payment and the $24.50 gets charged every month

I think my answer is correct? Not so sure though haha

Answer:

huh?

Step-by-step explanation:

The value of y in the right triangle is found to be 3√3 units.

Given data:

So, apply trigonometric ratios:

cos 30 = y / 6

y = cos 30 * 6

y = √3 / 2 * 6

y = 3√3

Thus, the value of y in the triangle is found to be 3√3 units.

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The probability that a seat will be available for every person who shows up holding a reservation is approximately 0.0141 or 1.41% (rounded to four decimal places).

To use the normal approximation to the binomial distribution, we first need to check if the conditions for the approximation are met.

The conditions are:
1. The sample size is large enough (np ≥ 10 and nq ≥ 10)
2. The probability of success (getting a seat) is constant for each trial (person)
3. The trials are independent of each other

Assuming these conditions are met, we can use the normal distribution to approximate the binomial distribution.

Let p = probability of getting a seat = 0.95 (since each person holding a reservation has a 95% chance of getting a seat)
Let n = number of people with reservations who show up = 100 (this is not explicitly given, but we need to assume a value to solve the problem)

Calculate the mean (µ) and standard deviation (σ) of the binomial distribution using the formulas:
  µ = n * p
  σ = sqrt(n * p * (1-p))

The mean of the binomial distribution is μ = np = 100 * 0.95 = 95
The standard deviation of the binomial distribution is σ = sqrt(npq) = sqrt(100 * 0.95 * 0.05) = 2.179

Using the normal approximation, we can find the probability that all 100 people get a seat:
Calculate the z-score using the formula:
  z = (x - µ) / σ

P(X = 100) ≈ P(X > 99.5)
where X is the number of people who get a seat

We use X > 99.5 instead of X = 100 because the normal distribution is continuous while the binomial distribution is discrete.

Using the standard normal distribution table or calculator, we find that the probability of Z > 2.179 (where Z is the standard normal random variable) is 0.0141.

Therefore, the probability that a seat will be available for every person who shows up holding a reservation is approximately 0.0141 or 1.41% (rounded to four decimal places).

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Answer:

y= 1/5x + (-2)

Step-by-step explanation:

Answer:

166 dogs were at the veterinary hospital

Step-by-step explanation:

Here, we want to know the number of dogs that were at the veterinary hospital

From the question, 72% of these animals are dogs

72% of a total of 230

Mathematically, the number of dogs are as follows;

dogs = 72% of 230

dogs = 72/100 * 230 = 165.6

since we cannot have a fractional dog, we round off to the nearest whole number which is 166 dogs

Answer:

323 is the height

Step-by-step explanation:

Answer:

10 meters high

Step-by-step explanation:

Step 1: Calculate:

200 = (5)(4)H

200 = (20)H

Step 2: Divide both sides:

200/20 = 20H/20

10 = H (Height)

Answer:

JN = 10 in

Step-by-step explanation:

the volume (V) of a triangular prism is calculated as

V = Ah ( A is the area of the triangular base and h the height )

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

here b = JL = 7 , h = KM = 6 , then

A = \(\frac{1}{2}\) × 7 × 6 = \(\frac{1}{2}\) × 42 = 21 in²

given V = 210 with h = JN , then

21 JN = 210 ( divide both sides by 21 )

JN = 10 in

Answer:

slope = -3

Step-by-step explanation:

the slope is -3. This is because the equation of slope intercept form is y=mx+b, with m, being the slope. Thus, the slope of in the equation y=-3x+5 is -3.  

If you feel like it, would like if you can give brainliest :)

Answer:

y=50 and z=60 (vertically opposite)

x+60+y=180

or x+60+50=180

or x+110=180

or x=70

Answer:

Step-by-step explanation:

a.x = 95 degree

reason = being vertically opposite angles

x + 145 degree = 180 degree

x = 180 -145

x=35 degree

reason = being linear pair

b.40 + x =90 degree

x = 90 - 40

x = 50 degree

reason = being perpendicular

y = x + 40

y = 50 + 40

y = 90 degree

reason = being vertically opposite angles

c.50 + 60 + x=180 degree

110 + x =180

x = 180-110

x = 70 degree

reason = being linear pair

z = 60 degree

reason = being vertically opposite angles

y = 50 degree

reason = being vertically opposite angles

d. x = 80 +10

x =90 degree

reason = being vertically opposite angles

y + x =180 degree

y + 90 =180

y = 180 - 90

y = 90 degree

reason = being linear pair

Answer: 3 1/2

Step-by-step explanation:

If this isn’t right then let me know but I think it is

Answer:

the value of 5 in 635,482 is 5,000

Step-by-step explanation:

to determine the place value of 5 you would have to start from the left to the right.

the given proportional relationship y=0.5x with proportional constant is 1/2.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.

So the equation will be y = kx

or y = 0.5(x)

Here proportional constant is 1/2 or 0.5.

For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.

Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.

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Answer:

Lawns ---Earnings

1 ----------------- 10

2 ----------------- 20

3 ----------------- 30

5 ----------------- 50

Step-by-step explanation:

Given

Earnings = $10 per lawn

Required

Complete the table

Let y be the earnings for x number of lawns

Since he earns $10 per x lawns, then the expression is:

\(y = 10x\)

To complete the table, we have the following:

When x = 1

\(y = 10 * 1 = 10\)

When x = 2

\(y = 10 * 2 = 20\)

When x = 3

\(y = 10 * 3 = 30\)

When x = 5

\(y = 10 * 5 = 50\)

So, the complete table is:

Lawns ---Earnings

1 ----------------- 10

2 ----------------- 20

3 ----------------- 30

5 ----------------- 50

Answer:

c

Step-by-step explanation:

I am not sure though..it just seems to make more sense

Answer:

54.48

Step-by-step explanation:

Answer:

54.48

Step-by-step explanation:

 68.1

x  0.8

54.48