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Answer:

The two column proof is presented as follows;

Statement                   [tex]{}[/tex]                  Reason

1. Parallelogram SUPN [tex]\overline {SR}[/tex]⊥ [tex]\overline {UN}[/tex] [tex]{}[/tex]   1. Given

and [tex]\overline {MP}[/tex]⊥ [tex]\overline {UN}[/tex]

2. ∠SRU = ∠PMN = 90°   [tex]{}[/tex]                 2. Definition of perpendicular lines

3. ∠SRU ≅ ∠PMN            [tex]{}[/tex]                 2. Definition of congruency

4. [tex]\overline {UP}[/tex] ║ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]                4. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                               congruent

5. ∠SNR ≅ ∠PUM             [tex]{}[/tex]               5. Alternate interior angles are congruent

6. [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]               6. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                              congruent

7. ΔPMU ≅ ΔSRN                 [tex]{}[/tex]           7. By AAS rule of congruency

By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex])  of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)

Step-by-step explanation:

answer:

you need not attach a graph to this. please do that so we can help you with the questions.

Answer:

(3x - 2)(3x - 4).

Step-by-step explanation:

9x^2-18x+8

Use the 'ac' method:

9 * 8 = 72.

We need 2 numbers whose product is + 72 and whose sum is -18

These are -12 and -6 so we rewrite the expression as:

9x^2 - 12x - 6x + 8       Now we factor by grouping:

= 3x(3x - 4) - 2(3x - 4)   The 3x - 4 is common so we have:

(3x - 2)(3x - 4).

The factor of the quadratic expression 9x² - 18x + 8 will be (3x - 2) and (3x - 2).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The quadratic expression is given below.

⇒ 9x² - 18x + 8

Factorize the quadratic expression, then the factors are given as,

⇒ 9x² - 18x + 8

⇒ 9x² - (12 + 6)x + 8

⇒ 9x² - 12x - 6x + 8

⇒ 3x(3x - 4) -2(3x - 4)

⇒ (3x - 2)(3x - 4)

Then the factor of the quadratic expression 9x² - 18x + 8 will be (3x - 2) and (3x - 2).

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

Answer:17

Step-by-step explanation:

20-3=17

Answer:

your y intercept is 90 and the equation would be y= 90 and x is unknown

Answer:

6.5

Step-by-step explanation:

Hope I helped!

angle 1 = 180-110 = 70 degrees (linnear pair)

angle 2= 180-115 = 65 degrees (linnear pair)

angle 3 = angle 2 = 65 degrees (corresponding angles)

angle 4= 180 - angle 3 = 180-65 = 115 degrees (linnear pair)

(your teacher might not like this, depends on the cituation, but use 180 degrees in triangle to get 7)

angle 7 = 180 -angle1 -angle 2= 180-70-65= 45 degrees

angle 6 = angle 7 = 45 degrees ( vertical angles)

angle 8= 180- angle 7= 180-45 = 135 ( linnear pair)

angle 9 =angle 6 = 45 degrees (corresponding angles)

angle 5=angle 9=45 degrees (vertical angles)

Answer:

The cause is the independent variable. In your study, its value is independent of other variables. The affect is the dependent variable. Its value depends on the independent variable being changed.

Step-by-step explanation:

Answer:

Q1.acceleration=3u/20

Q2.a=13.908m/s

b.50.069km/hr

Step-by-step explanation:

Q1.V=U+at

v=u+at

substituting we have a=3u/20m/s^2 in terms of u

Q2.velocity =distance/time

v=100/7.19=13.908m/s

Answer:

im pretty sure its 36%

Step-by-step explanation:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Equations.

[tex]7 {a}^{2}b + 3 {b}^{2} [/tex]

1.) Polynomial ==> Binomial

2.) Degree ==> 2

3.) Terms ==> 2

4.) Name ==> Quadratic Equation in two variables.

5.) Coefficient => 7 and 3

Answer:

1.) Polynomial ==> Binomial

2.) Degree ==> 2

3.) Terms ==> 2

4.) Name ==> Quadratic Equation in two variables.

5.) Coefficient => 7 and 3

Step-by-step explanation:

1.) Polynomial ==> Binomial

2.) Degree ==> 2

3.) Terms ==> 2

4.) Name ==> Quadratic Equation in two variables.

5.) Coefficient => 7 and 3

Write down the factors for the numerator and the denominator.

Determine the largest factor that is common between the two.

Divide the numerator and denominator by the greatest common factor.

Write down the reduced fraction.

Answer:

75 m

Step-by-step explanation:

1m 60 cm = 160 cm

160cm-85cm= 75 cm

~ 75 cm of tape is left in the roll.

Answer:

k = 7

Step-by-step explanation:

The goal is to solve for the variable k in this problem.

To do this, we need to get k by itself!

2k + 16 = 30

Start by subtracting the 16 over from the left side to the right

2k + 16 - 16 = 30 - 16

Simplify by subtracting 16 from 16 on the left side (which is 0) and 16 from 30 on the right side (which is 14).

2k = 14

Then finish by dividing both sides by 2 to get k by itself.

[tex]\frac{2k}{2}[/tex] = [tex]\frac{14}{2}[/tex]

Simplify by dividing 2 by 2 on the left side (which is 1) and 14 by 2 on the right side (which is 7).

k = 7

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{2k + 16 = 30}[/tex]

[tex]\huge\textbf{Solving for:}[/tex]

[tex]\mathbf{2k + 16 = 30}[/tex]

[tex]\huge\textbf{Subtract \boxed{\bf 16} to both sides:}[/tex]

[tex]\mathbf{2k + 16 - 16 = 30 - 16}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{3k = 30 - 16}[/tex]

[tex]\mathbf{2k = 14}[/tex]

[tex]\huge\textbf{Divide \boxed{\bf 2} to both sides:}[/tex]

[tex]\mathbf{\dfrac{2k}{2} = \dfrac{14}{2}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{x = \dfrac{14}{2}}[/tex]

[tex]\mathbf{x = 14\div2}[/tex]

[tex]\mathbf{x = 7}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{k = }\frak{\ 7}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

just do pythagorean theorem  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

This is a Pythagorean Problem

Formula

a^2 + b^2 = c^2

a = 5

b = ?

c = 9

Solution

5^2 + b^2 = 9^2             Expand the givens

25 + b^2 = 81                  Subtract 25 from both sides

25-25+b^2 = 81- 25

b^2 = 56

√b^2 = √56

b = √8*7

b = √2*2*2*7

b = 2 √2*7

b = 2 √14

For every 2 prime factor under the square root sign, 1 of them can be taken out from under the root and the other is thrown away.

Answer:

We conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

Step-by-step explanation:

Given that the line includes the points

We need to find the slope of the line containing the points between (0, -2) and (3, -2) using the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

now substituting (x₁, y₁) = (0, -2) and (x₂, y₂) = (3, -2) in the slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

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

[tex]m=\frac{-2+2}{3}[/tex]

[tex]m=\frac{0}{3}[/tex]

[tex]m = 0[/tex]

Therefore, we conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

Answer:

The number is

=

109.31

Explanation:

Let the number be

=

x

58

100

(

x

)

=

63.4

x

=

63.4

×

(

100

58

)

x

=

6340

58

x

=

109.31

Answer:

x = 27.8

y = 35

Step-by-step explanation:

∡D ≅ ∡A, therefore:

65 = 2y - 5

70 = 2y

y = 35

EF ≅ BC, therefore:

2x + y = 90.6

2x + 35 = 90.6

2x = 55.6

x = 27.8

Answer:

x = 5

[tex] m\angle DEF = 90\degree [/tex]

Step-by-step explanation:

GE is the angle bisector of quadrilateral DEFG,

Thus, by angle bisector property:

9x°= (5x + 20)°

9x = 5x + 20

9x - 5x = 20

4x = 20

x = 20/4

x = 5

[tex] m\angle DEF = 9x\degree + (5x+20)\degree [/tex]

[tex] m\angle DEF = (14x+20)\degree [/tex]

[tex] m\angle DEF = (14\times 5+20)\degree [/tex]

[tex] m\angle DEF = (70+20)\degree [/tex]

[tex] m\angle DEF = 90\degree [/tex]

Answer:

yes

Step-by-step explanation:

Answer: Increasing her speed  by 5km/h, she will take 4.5 hours to complete the journey.

Step-by-step explanation:

Step 1

Speed= Distance  / TIme

Given Speed = 45km/h

and Time = 5 hours

Distance covered = Speed x Time

= 45 km/h x 5 hours

=225 kilometres.

Step 2

Increasing her speed by 5km/h makes the new Speed = 45 +5 = 50 km/h

At the same Distance of 225 km

Therefore she will complete the journey in

Time = Distance/ Speed

=225km/ 50km/h

=4.5 hours

Answer:

Step-by-step explanation:

p:c=10:14

p/c=10/14

p/7=10/14

p=7(10)/14

p=5

Answer:

5 plates

Step-by-step explanation:

First, make two fraction bars, one with the ratio 10/14 the other with the top blank and 7 on the bottom. Next, find how much to multiply 7 by to get 14. Use the number you get to divide 10 by. Then you should get 5. Hope this helped!

Answer:

C is your Answer

Step-by-step explanation:

Answer:

a or b i will help no further

Answer: x = 29

Step-by-step explanation:

both angles are the same

so:

2x = 3x-29

2x - 3x = -29

-x = -29

x = 29

Answer:

the answer is WU is congruent to UV

Answer:

Step-by-step explanation:

Slope and y-intercept form of a line: y =mx + b

m -> Slope;     b -> y-intercept

y = (-1/5)x + 9

Slope = -1/5

y-intercept = 9

Answer:

5

Step-by-step explanation: