Solve the following proportion:
X + 5 7
X – 4 10

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

1) In this question, we need to find the slope (i.e. the measure of how steep is that line between two given points).

2) So, we can write out the slope-formula:

Or find it using to the way this question was made.

3) Thus, the answer is -2

Answer:

A 67 inches is the correct answer

\(\text{Given that,}\\\\\text{Area of the rectangle,}~ A = 344 ~ in^2\\\\\text{Width of the rectangle,}~w = 16 ~ in\\\\\text{Length of the rectangle,}~ l=?\\\\~~~~~~A = l \times w \\\\\implies l= \dfrac{A}w =\dfrac{344}{16}=21.5 ~in\\\\\text{Perimeter of the rectangle} = 2(l+w) = 2(21.5+16)=75~ in\)

Answer:

Angle 6 = 70

Step-by-step explanation: Using vertical angles if you look across from angle 6 you would see the angle of 70 degrees which means they are equal because they're across from each other.

The value of the number is 15.

Let the first number be represented by x.

The second number will be:

(2 × x) - 2 = 2x - 2

Therefore, the addition of the numbers will be:

= x + 2x - 2 = 43

3x - 2 = 43

3x = 43 + 2

3x = 45

Divide

x = 45/3

x = 15.

Therefore, the number is 15

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Answer:

They both equal 0.333333333

Step-by-step explanation:

When you look them up, it will show you a decimal and they are both the same.

The answer is:

Work/explanation:

To evaluate f(x) = 5x - 10 for f(4), we need to plugin 4 for x:

f(4) = 5(4) - 10

     = 20 - 10

    = 10

Here we have a dilation of scale factor 2.

We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.

To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:

L' = K*L

Here if we use the left sides, we will get:

for figure A; L= 2

for figure B: L = 4

4 = K*2

4/2 = K

2 = K

So this is a dilation of scale factor k = 2.

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Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

Answer:

RO

Step-by-step explanation:

Answer:

In a pair of similar triangles, the corresponding sides are proportional.

Step-by-step explanation:

Corresponding sides touch the same two angle pairs. When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Answer:

16

Step-by-step explanation:

As the question states, we are counting downwards which means with every interval we are going back -1. Therefore, 17 - 1 = 16

Answer:

The price of Apples is $3.30 and the price of Oranges is $2.

Step-by-step explanation:

So first treat the price of apples and the price of oranges as variables. Let's say that the price of an apple is X and the price of an orange is Y.

1 Apple and 1 Orange is $5.30, so the equation is 1X + 1Y = 5.30

1 Apple and 2 Oranges is 7.30 so the equation is 1X + 2Y = 7.30

Now, adjust one of the equations so you can know the price of one thing in relation to the price of the other.

1X + 1Y = 5.30 can become 1X = 5.30 - 1Y

Now substitute this into the other equation.

1X + 2Y = 7.30 becomes 5.30 - 1Y + 2Y = 7.30. Now, either combine the Y values or combine the price values.

5.30 + 1Y = 7.30

Y = $2

Now that you have the Y value, replace it in one of the equations.

1X + 2$ = 5.30

1X = 3.30

Triangle ABC is an isosceles right triangle.

Because of A(-8,7) B(-4,2) C(1,6)

So AB=√[-8-(-4)]²+(7-2)²

=√41

BC=√(-4-1)²+(2-6)²

=√42

AC=√(-8-1)²+(7-6)²

=√82

AB=BC

AB²+BC²=AC²

So triangle ABC is an isosceles right triangle.

What is isosceles right triangle?

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

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Answer:

∠A= ∠E, ∠H = ∠D

and the last one

Step-by-step explanation:

opposite angles are equal, alternative interior angle are equal.

Answer:

∠A = ∠E and ∠H = ∠D.

∠E = ∠H and ∠F = ∠G

Step-by-step explanation:

Angles A and E are one set of corresponding angles and angles H and D are another set.  Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.

Angles E and H are one set of vertical angles and angles F and G are another set.  Vertical angles are also always congruent to each other and thus equal.  Therefore ∠E = ∠H and ∠F = ∠G

Answer: S=3c

............................................................................................................................................................................

The equation of the line parallel to y = (-3/4)x + 1 and passing through (8, 6) is y = (-3/4)x

An equation is an expression showing the relationship between numbers and variables.

The slope intercept form of a straight line is:

y = mx + b

Where m is the slope and b is the y intercept.

Two lines are parallel if they have the same slope.

Given the line y = (-3/4)x + 1, the slope is -3/4. The line parallel to y = (-3/4)x + 1 would have same slope of -3/4.

The parallel line passes through (8, -6), hence:

y - y₁ = m(x - x₁)

y - (-6) = (-3/4)(x - 8)

y + 6 = (-3/4)x + 6

y = (-3/4)x

The equation of the line is y = (-3/4)x

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Answer:

- 72 - 48i

Step-by-step explanation:

note that i² = - 1

(6i)(- 2i)(- 6 - 4i)

= - 12i²(- 6 - 4i)

= - 12(- 1)(- 6 - 4i)

= 12(- 6 - 4i) ← distribute parenthesis by 12

= - 72 - 48i

Answer:

x1= pi/9

x2=5pi/9

x3=7pi/9

Step-by-step explanation:

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

b

Step-by-step explanation:

this is for the 20 characters thing

Answer:

D: 14.5

Step-by-step explanation:

4.1 = d - 10.4    add 10.4 to each side

14.5 = d

Answer:

14.5

Step-by-step explanation:

10.4 - 4.1 = 14.5

The calculated vertex of the point C is (b) (-7, 3.5)

From the question, we have the following parameters that can be used in our computation:

ABC with vertices at A(3, 2), B(2, -1), C(-2, 1)

The scale factor is 3.5

The vertex of point C is calculated as

C' = C * Scale factor

Substitute the known values in the above equation, so, we have the following representation

C = (-2, 1) * 3.5

Evaluate

C = (-7, 3.5)

Hence, the vertex of point C is (b) (-7, 3.5)

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Answer:

can u make. the question more clear how can I find the answer when both are in km?

Answer:

The probability that a randomly chosen college student does not take statistics is 0.76.

Step-by-step explanation:

The probability of an event happening and the probability of its complement (the event not happening) must add up to 1. Therefore, if the probability that a randomly chosen college student takes statistics is 0.24, then the probability that they do not take statistics is:

1 - 0.24 = 0.76

So the probability that a randomly chosen college student does not take statistics is 0.76 or 76%.

9514 1404 393

Answer:

  (a)  $1430

  (b)  $1340

  (c)  Debit card

Step-by-step explanation:

(a) The debit card is funded by Jenny's checking account, so it cannot be used to spend more than her checking account balance. The most Jenny can spend using her debit card is $1430.

__

(b) Amounts purchased using her credit card add to the credit balance. The most Jenny can purchase is the difference between her current balance and her credit limit.

  Limit - balance = $2350 -1010 = $1340

The most Jenny can spend using her credit card is $1340.

__

(c) For a purchase of $1400, the amount available on Jenny's credit card is insufficient. She can make the purchase using her debit card.