Find four consecutive even integers whose sum is 60

(50 points) URGENT Can someone help me with this problem?

34kurt

Answer:

bit.^{}ly/3a8Nt8n these are the answers

7 0

3 years ago

Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

(a) Length of AB

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

(b) Are AB and CD congruent

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

(c) AB bisects CD or not?

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

(d) CD bisects AB or not?

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

2 years ago

The width of a rectangle is 6 in. less than its length. The perimeter is 68 in.

erma4kov [3.2K]

2L + 2(L-6) = 68

2L + 2L -12 = 68

4L = 80

L = 20

The length is 20 in. and the width is 14 in.

8 0

3 years ago

Selena and Ronald are planning to get married at the university where they met and graduated. The university charges $2,000 to s

jok3333 [9.3K]

Here, we have to find the number of guests who can attend their weeding without exceeding the set budget of $10,000

Since the catering fee of $150 is waived, we do not consider this figure in our analysis

There is a constant which is the venue costs of $2,000 and a variable cost of $80 per guest for the reception.

Let us assume "X" guests arrive for the reception, so we can form the equation as shown below:

80X + 2,000 = 10,000 (Since the total budget for the wedding is $10,000)

80X = 8000

8X = 800

X =100

Therefore, Selena and Ronald can invite 100 guests for the wedding without going over their budget

3 0

3 years ago

Find the diameter of a circle with circumference of 15.70

Elanso [62]

Find the diameter of a circle with circumference of 15.70

Solution: We are given:

The circumference of a circle $=15.70$

We are required to find the diameter of the circle based on given circumference.

We know that:

$Diameter = \frac{circumference}{\pi}$

$=\frac{15.70}{3.1416}$ $\because \pi \approx 3.1416$

$=5.00$ rounded to two decimal places

Therefore, the diameter of the circle with circumference 15.70 is 5

7 0

3 years ago