Parallel lines L and M are intersected by line N. Answer the following questions based on the information given.
True/False
1. Angles 1 and 3 are vertical angles.
2. The value of angle 7 is 125 degrees.
3. Angles 1 and 6 are alternate interior angles. 4. Angles 3 and 5 are alternate interior angles. 5. Angles 4 and 8 are corresponding angles.
6. The value of angle 5 is 55 degrees.
7. Angles 1 and 7 are alternate exterior angles. 8. Angles 6 and 8 are corresponding angles.
9. Angles 1 and 6 are supplementary angles. 10. Angles 4 and 8 are supplementary angles

Answer:

The solution of the equation [tex]3 + x = 11[/tex] is [tex]x = 8[/tex].

Step-by-step explanation:

Let [tex]3 + x = 11[/tex], we see that number of equation and variables are both the same and can be solved by algebraic means.

1) [tex]3 + x = 11[/tex] Given

2) [tex]x + 3 = 11[/tex] Commutative property

3) [tex]x + [3+(-3)] = 11 + (-3)[/tex] Compatibility with addition/Associative property

4) [tex]x = 8[/tex] Additive inverse/Modulative property/Definition of substraction/Result

The solution of the equation [tex]3 + x = 11[/tex] is [tex]x = 8[/tex].

Answer:

FD is Congruent to DC

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

I'm on edenuity too

The given function is f(x)= asin(b(x-h)) Thus, option B is the correct match for the values.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

The given function is f(x)= asin(b(x-h)) where we have to find the value of a , b and h.

f(x)= sin 2x – 3 cos 2x

If we substitute the value of a, b and h then we get the same solution for both the equation.

a = 3.16

b = 2

h = 0.62

Thus, option B is the correct match for the values.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

#SPJ2

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:

your slope should be 7/10

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:

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. Disagree

Step-by-step explanation:

Answer: (6, -6)

Step-by-step explanation:

so midpoint =([tex]\frac{X1+X2}{2}[/tex],[tex]\frac{Y1+Y2}{2}[/tex])

for x co ordinate

[tex]\frac{-2+X2}{2}[/tex]=2

-2+X=4            (X2=x co ordinate point for b, can be written as just x now)

X=6

x co ordinate of B= 6

y co ordinates of y

[tex]\frac{-8+Y2}{2}[/tex]=-7

-8+Y=-14

Y=-6

co ordinates B (6,-6)

for proof/extra explanation (NOT necessary for working):

[tex]\frac{Y1+Y2}{2}[/tex]

=[tex]\frac{(-2)+6, (-8)+(-6)}{2}[/tex]

=[tex]\frac{4, -14}{2}[/tex]

=(2,-7)

which is the midpoint M

Answer:

C is your Answer

Step-by-step explanation:

Answer:

a or b i will help no further

Answer:

im pretty sure its 36%

Step-by-step explanation:

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:

6.5

Step-by-step explanation:

Hope I helped!

Answer:

there are 4 times larger

Step-by-step explanation: 11 x 4 = 44 so its 4 times larger

Answer:

990 cm²

Step-by-step explanation:

Given ratio of radii = a : b , then

ratio of areas = a² : b²

Here

ratio of radii = 50 : 30 = 5 : 3 , then

ratio of areas = 5² : 3² = 25 : 9

let x be the area of sector DEF , then using proportion

[tex]\frac{25}{2750}[/tex] = [tex]\frac{9}{x}[/tex] ← [tex]\frac{ratio}{area}[/tex]

cross- multiply

25x = 24750 ( divide both sides by 25 )

x = 990

Area of sector DEF = 990 cm²

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: The root of -4 is 2, and I'm not sure about 3

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

pretty sure it's 35.87 kilometers

Answer:

D

Step-by-step explanation:

If something is not constant we know it is non-linear. We know this is not constant because when graphed, the line is not straight.

Answer:

D.

Step-by-step explanation:

Here the rate of change is not constant. For example:

10-5 / 20-17 = 5/3

13-10/23-20 = 3/3 = 1

Answer: 43 + x = 90

Step-by-step explanation:

43 + x = 90

x = 90-43

x = 47

Answer:

5

Step-by-step explanation:

Answer:

1. -3   2. 3

Step-by-step explanation:

Evaluate each expression is very simple concept in math. When you substitute a particular value for each variable and then act the operations called evaluating expression.

Answer:

-3 and 3

Step-by-step explanation:

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:

[tex]let \: their \: points \: of \: intersection \: be \to \: x \\ since : \\ \: \overline{MN} \: intersects \: \overline{QL} \: at \: point \: x : \\ and\\ \overline{QL} \: also \: meets \: \overline{MN} \: at \: point \: x : \\ hence \: \overline{QL}\: and \: \overline{MN} \: bisects \: each \: other.[/tex]

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

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)