By the definition of a ▱, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary. Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠.

Answer:

86

Step-by-step explanation:

43×2=86

bisector means halves an angle into two equal angles

Answer:

y= 2/3x +4

Step-by-step explanation:

choose 2 points to find slope

I chose points of intersection

(-6,0) (0,4)

m=y2-y1/x2-x1

[tex]m = \frac{4 - 0}{0 - ( - 6)} = \frac{2}{3} [/tex]

then use slope point form rule

y-y1=m(x-x1)

[tex]y - 4 = \frac{2}{3} (x - 0) \\ \\ y = \frac{2}{3} x + 4[/tex]

Answer:

y = [tex]\frac{2}{3}[/tex] x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m = [tex]\frac{4-0}{0-(-6)}[/tex] = [tex]\frac{4}{0+6}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = [tex]\frac{2}{3}[/tex] x + 4 ← equation of line

Answer:

B. The car's age is the explanatory variable

Step-by-step explanation:

The graph shows a negative linear relationship between car's age and car's value because, as as one variable increases, the other decreases.

Also, data points are close to each other along the line of best fits, therefore, the correlation coefficient would be close to -1, showing a strong negative relationship.

An explanation variable is one that isn't affected or dependent on another variable. In this case, the car's age is the explanatory variable and not the car's value. The car's value is dependent on the car's age, therefore, the car's age is the explanatory variable.

The statement in option B is FALSE.

Answer:

need more info sry

Step-by-step explanation:

╭⋟───────────────

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

Given,

< BAG = 2x°

< BAC = 90° [ < EAF = 90° (vertically opposite angles are equal to each other)]

< CAD = x°

____________________

Value of x = ?

____________________

From the figure we can see that,

< BAG + < BAC + < CAD = 180° (supplementary angles)

____________________

So to solve,

[tex] < BAG + < BAC + < CAD = 180 \\ 2x + 90 + x = 180 \\ 2x + x + 90 = 180 \\ 3x + 90 = 180 \\ 3x = 180 - 90 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30[/tex]

⏩ The value of x is [tex]\boxed{30}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex]RainbowSalt2^{2}2^{2}[/tex] ღ

───────────────⋞╯

Answer:

PQ = 46

Step-by-step explanation:

The midsegment ST is half the length of the third side PQ , that is

ST = [tex]\frac{1}{2}[/tex] PQ , so

5x - 22 = [tex]\frac{1}{2}[/tex] (3x + 19) ← multiply both sides by 2 to clear the fraction

10x - 44 = 3x + 19 ( subtract 3x from both sides )

7x - 44 = 19 ( add 44 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

Then

PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46

Answer:

ans: KM = 576/13

Step-by-step explanation:

break given triangle to two triangle,

use pythagoras theorem to find LN

now, splited triangle are similar to each other so corresponding sides are proportional to each other

Answer:

(x + 4)(x + 3)

Step-by-step explanation:

x^2 + 7x + 12

In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.

so we need two number that gives 12 when multiplied and 7 when added

4 and 3 are the numbers because 4*3 = 12 and 4+3 = 12

=x^2 + (4 + 3)x + 12

=x^2 + 4x + 3x + 12

=x(x + 4) + 3(x + 4)

take (x + 4) as common

=(x + 4) (x*1 + 3*1)

=(x + 4)(x + 3)

To determine The probability of both of these occurring, you would multiply the probability of each together. So, there is a 1/7 chance of the first salesman getting the right key, and 1/6 chance of the second salesman getting the right key. 1/7 x 1/6= 1/42 chance of both occurring.

Step-by-step explanation:

14 gallons bought for $34.72

1 gallon bought for

[tex] \frac{34.72}{14} [/tex]

=$2.48

Answer:

d

Step-by-step explanation:

just compare,

y = aX^2+bX+C and

y = 5X^2 + 2X - 1

Answer:

k=20t/a

Step-by-step explanation:

20t=ak

20t/a=k

k=20t/a

Answer:

my answer is in this picture. sorry about my handwriting.

Answer:

Step-by-step explanation:

sorry dont know ut

Step-by-step explanation:

Zeros : -2

axis of symmetry : x = -2

Max or Min : min

Vertex : (-2, 0)

Answer:

The second one, my order is different, but they are equivalent answers

Step-by-step explanation:    6  22  22  18

  (√6 + √11)  / (√5 +√3)      multiple top and by  (√5 - √3)   note the minus

  (√6 + √11) × (√5 - √3)  / (√5 +√3) x (√5 - √3)

  (√30 + √55 - √18 - √33)  / (5 - 3)

 (√30 + √55 - 3√2 - √33) / 2

Answer:

Rs 8160

Step-by-step explanation:

Principal = Rs 6000

Time = 3 years

Rate = 12%

Simple Interest = ?

Amount = ?

Simple Interest = PTR/100

=6000*3*12/100

=216000/100

=2160

Amount = principal + Interest

=Rs 6000 + Rs 2160

=Rs 8160

Step-by-step explanation:

Principal = Rs. 6000

Time = 3yrs 8months = 3⅔ yrs.

Rate = 12% pa.

SI = ?

Amount = ?

SI = PRT/100 = (6000×12×11)/(100×3) = 2640

Amount = SI+P = 2640+6000 = Rs. 8640

hope this helps you.

The axis of symmetry is a line that splits a graph into two mirror images. For a parabola, the axis of symmetry goes through the vertex and is a vertical line.

The axis of symmetry for this graph is x = -1.

Hope this helps!! :)

Answer:

$750

Step-by-step explanation:

Primero, Lucas gastaba $150 cada mes en gaseosas.

Al decidir cuidar su salud, deja de comprar gaseosas, entonces ya no gasta esos $150 al mes.

Es decir, a dejado de gastar $150 al mes.

Nosotros queremos saber:

¿cuánto dinero a dejado de gastar en cinco meses?

Bueno, si en un solo mes a dejado de gastar $150

En 5 meses a dejado de gastar 5 veces esa cantidad, que es:

5*$150 = $750

the sign will be a negative sign -

Answer:

IN a series of multiplications (or divisions)

add up the negative signs ... if they are even the answer is positive "+"

the there is an odd number the answer will be negative "-"

Step-by-step explanation:

Answer:

the surface area of cylinder is 1733.28 inches²

hope it helps

have a nice day

Answer:

4,5

Step-by-step explanation:

Your welcome! :)

Good Luck!

Answer:

B is 4 and A is 5 --> 4,5

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

people who like pistachio = 24

people who like vanilla = 36

ration pf people who prefer pistachio to the peple who prefer vanilla = 24/36

=2/3

Answer:

Triangle

Step-by-step explanation:

h = Tan A x d, where h is the tree height, d is the distance from tree, and A is the angle to the top of the tree.

Basically you want to solve for the hypotenuse by using basic trig

Answer:

Step-by-step explanation:

James is one meter and 63 centimeters OR what your teacher likely wants

James is one and sixty-three hundreths meters tall

Ani is wrong

4 and 8 hundreths means 4.08

4.8 would be 4 and 8 tenths

Answer:

The value of x is 4.

The value of y is 26.

Step-by-step explanation:

Here in qn a)

It has been given that n(AUBUC)=74

So we just add all components of n(AUBUC) and add it in an equation which equals to 74;

13 + 12 - x + x + 20 - x + 15 - x + 8 + 14 = 74

82 - 2x = 74

82 - 74 = 2x

8 = 2x

4 = x

So x is 4.

Now for qn b)

It has already been given that n(AUBUC) = 74 and n(U) = 100

so to find y we simply substract n(AUBUC) from n(U)

y = n(U) - n(AUBUC)

= 100 - 74

=26

Just ask me in the comments if you have any questions.

Answer:

nutella

Step-by-step explanation: