The quadrilateral has vertices A(3,5), B(2,0), C(7,0) and D(8,5). Which statement about the quadrilateral is true

50 POINTS!!! WILL MARK BRAINLIEST!!! CORRECT ANSWERS PLS 1 HOUR LEFT

Brut [27]

Answer:

○ 3

○ y + ½ = 3(x - 2)

○ Multiply both sides of the equation by 3. The Standard Form of the equation is 12x - 2y = 24.

○ 5x - 3y = 15

○ y = ½x + 5⁄2

Step-by-step explanation:

Find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m → (-1, 1) and (-2, -2)

$\frac{2 + 1}{2 - 1} = 3$

__________________________________________________________

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting this coordinate into the formula with their CORRECT SIGNS:

(2, -½) → y + ½ = 3(x - 2)

__________________________________________________________

We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it:

-3[4x - ⅔y = 8] → -12x + 2y = -24

** They should have multiplied by -3 instead of 3 because that negative is hooked up to everything in the fraction, but since the exercise gave you 12x - 2y = 24, go with 12x - 2y = 24.

__________________________________________________________

If you would take a look at this graph real closely, you will see that this graph intersects the y-axis and x-axis at ENDPOINTS, so to find the x-intercept, you simply plug in zero for y: 5x = 15, and you will know right away that x is set to equal 3, which is what you see in the graph, (3, 0). Now, to find the y-intercept, you simply plug in zero for x: -3y = 15, and you will know right away that y is set to equal -5, which is what you see on the graph as well, (0, -5). With that being said, you have your answer.

__________________________________________________________

y - 3 = ½(x - 1)

y - 3 = ½x - ½

+ 3 + 3

_____________

y = ½x + 2½

* 2½ = 5⁄2

I am joyous to assist you anytime.

4 0

3 years ago

For questions 8 – 10, answer the questions about tangent-tangent angles.

olchik [2.2K]

Answer:

m(arc ZWY) = 305°

Step-by-step explanation:

8). Formula for the angle formed outside the circle by the intersection of two tangents or two secants is,

Angle formed by two tangents = $\frac{1}{2}(\text{Difference of intercepted arcs})$

= $\frac{1}{2}(220-140)$

= $\frac{1}{2}(80)$

= 40°

9). Following the same rule as above,

Angle formed between two tangents = $\frac{1}{2}(\text{Difference of intercepted arcs})$

125 = $\frac{1}{2}[m(\text{major arc})-m(\text{minor arc})]$

250 = $[m(\text{arc ZWY})-m(\text{arc ZY})]$

250 = m(arc ZWY) - 55

m(arc ZWY) = 305°

Therefore, measure of arc ZWY = 305° will be the answer.

10). m(arc BAC) = $\frac{1}{2}([m(\text{arc BDC})-m(\text{arc BC})])$

= $\frac{1}{2}(254-106)$

= $\frac{148}{2}$

= 74°

4 0

3 years ago

Y+1=3/4(x+3) in general form pls??

Vikentia [17]

Answer:

Step-by-step explanation:

y+1 =(3/4)x+9/4

y=(3/4)x+1/4

7 0

3 years ago

Read 2 more answers

Seven times the smaller

Taya2010 [7]

Given:

Seven times the smaller of two consecutive even integers is the same as -300 minus 4 times the larger integer.

To find:

The integers .

Solution:

Let the smaller even integer be x.

So, larger even integer is x+2 because they are consecutive even integers.

Seven times the smaller integer = 7x

-300 minus 4 times the larger integer = -300-4(x+2)

Now,

$7x=-300-4(x+2)$

$7x=-300-4x-8$

$7x+4x=-308$

$11x=-308$

Divide both sides by 11.

$x=\dfrac{-308}{11}$

$x=-28$

So, the smaller even integer is -28.

$x+2=-28+2=-26$

So, the larger even integer is -26.

5 0

3 years ago

Elizabeth brought a box of donuts to share. There are two dozen (24) donuts in the box, all identical in size shape and color. T

atroni [7]

Answer:

The probability of selecting two jelly filled donuts in a row is 1.08%.

Step-by-step explanation:

Since Elizabeth brought a box of donuts to share, and there are two dozen (24) donuts in the box, all identical in size shape and color, of which 3 are jelly filled, 6 are lemon filled and 15 are custard filled, and you randomly select one donut eat it and select another donut, to find the probability of selecting two jelly filled donuts in a row the following calculation must be performed:

3/24 x 2/23 = X

0.125 x 0.086 = X

0.01086 = X

Therefore, the probability of selecting two jelly filled donuts in a row is 1.08%.

5 0

3 years ago