Mathematics High School

Use quadrilateral ABCD. What value for m DAB would show ABCD is a parallelogram?

Answers

Answer 1

Answer:

m∠DAB = 101°

x = 7

y = 12

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides of a parallelogram are equal and parallel.

2). Opposite interior angles are equal in measure.

3). Consecutive interior angles are supplementary.

By the first property,

BC ≅ AD

2x + 4 = 3x - 3

3x - 2x = 4 + 3

x = 7

AB ≅ CD

2y + 10 = 3y - 2

3y - 2y = 10 + 2

y = 12

By second property,

m∠ABC = m∠ADC

2z + 15 = 3z - 17

3z - 2z = 15 + 17

z = 32

Therefore, m∠ADC = (3z - 17)°

= 3(32) - 17

= 96 - 17

= 79°

By third property,

m∠ADC + m∠DAB = 180°

79° + m∠DAB = 180°

m∠DAB = 180° - 79°

m∠DAB = 101°

Related Questions

ASAP!!!!
Find the point of intersection of the two lines
x=4 - y and x=3

Answers

Answer:

the answer would be (3,1) :))

Step-by-step explanation:

Hope this helps :)) Plz mark brainliest :))

Jada made 6 cups of blueberry jam and divided the jam equally among 4 containers. How much jam went in each container? Have it as a fraction

Answers

Answer:the answer is 3/2

Step-by-step explanation:

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Dividing equally 6 cups of jams into 4 containers.

= 1.5 cups / 1 container

The amount of jam in each container is 1.5 cups of jams.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Jada made 6 cups of blueberry jam and divided the jam equally among 4 containers.

The amount of jam in each container.

= 6 cups / 4 container

= 1.5 cups / 1 container

This means that in each container there are 1.5 cups of jams.

Thus,

Dividing equally 6 cups of jams into 4 containers.

1.5 cups / 1 container

The amount of jam in each container is 1.5 cups of jams.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ6

Describe the translation needed to obtain the graph of g(x)=6^x-9 from the graph of f(x)=6^x.

Answers

Answer:

Step-by-step explanation:

I am not sure if you wanted to ask this

f(x) = 6^x becomes g(x)= (6^x ) -9 so it went DOWN 9 units

or this

f(x) = 6^x becomes g(x)= 6^(x -9) so it went RIGHT 9 units

18 = 3(3x - 6)
Please answer with solving steps thanks!

Answers

Answer:

jayfeather friend me

Step-by-step explanation:

(

−

)

−

Add

to both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Solution

It costs $35 for a membership at a wholesale store. The monthly fee is $15 .Write an equation that represents the total costs ( in dollars) of a membership

Answers

Answer:

[tex]y= 35+15x[/tex]

Step-by-step explanation:

Given data

It costs $35 for a membership

Monthly fee is $15

Let the number of months be x

and the total cost for x months be y

Hence the expression for the cost after x months is given as:

[tex]y= 35+15x[/tex]

ANSWER PLZZ ASAP!!!
The Carnivorous Plant Exhibit
According to the passage, carnivorous plants are
A. known for mostly consuming flies, but will eat other insects
B. predatory green plants that capture and eat other animals
C. so attractive because of their beautifully shaped leaves
D. plants that are consumed by carnivorous animals in the wild

Answers

Answer:

Step-by-step explanation:

b is the correct answer

B
The correct answer is B

A B C D Which triangles are similar?

Answers

Answer:

DBA ok you got that maybe

If you were to measure the length of a typical driveway, which unit would make most sense to measure it in?

Answers

Answer:

Feet

Step-by-step explanation:

The unit that makes the most sense is feet. Inches are too small and miles are too long, yards are not that common in building feet is the standard unit.

Which of these describes the equation –18x + 9y = –416?
A
The equation is not linear because it has 2 variables, not 1.
B
The equation is not linear because it is not in the form y = mx + b.
С
The equation is linear because it has variables with exponents of 0.
D
The equation is linear because it can be rewritten in the form y = mx + b.

Answers

Answer:

We conclude the equation is linear because it can be rewritten in the form [tex]y = mx + b[/tex].

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

[tex]y = mx+b[/tex]

where

[tex]m[/tex] is the slope[tex]b[/tex] is the y-intercept

Important Tip:

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

[tex]18x + 9y = -416[/tex]

subtract 18x from both sides

[tex]18x+9y-18x = - 18x-416[/tex]

simplify

[tex]9y = -18x - 416[/tex]

divide both sides by 9

[tex]y=-2x-\frac{416}{9}[/tex]

Now, comparing the equation [tex]y=-2x-\frac{416}{9}[/tex] with a slop-intercept form of linear equation

The slope m = -2The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form [tex]y = mx + b[/tex].

From the attached graph, is also clear that the graph of the equation [tex]y=-2x-\frac{416}{9}[/tex] is a straight line.

Hence, option D is correct.

Answer:D

Step-by-step explanation:

The diagram below models the length from the center of a wind turbine to the tip of one
of it's blades
blade
The turbine travels 74x feet in one rotation. What is the length of the blade, or radius of
the circle formed by the turbine?
37 feet
18.5 feet
23.57 feet
74 feet

Answers

Answer:

i need help too

Step-by-step explanation:

Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by ________.
A. Zero
B. A negative rational number
C. A positive rational number

Answers

Answer:

negitive :)

Step-by-step explanation:

Jenna lives 8 2/5 miles from work. Colby lives 3/4 of this distance from work. How far does Colby live from work?

Answers

Answer:

around 45 minutes

Step-by-step explanation:

it takes about 15 minutes to do 1 mile, do the correct math, it'll take about 45 minutes to do 3 miles

Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number.

The difference between three times a number and one more than two times the number.

What is the algebraic expression?

(Do not simplify)

Answers

i think it's 3x-2x+1

Can you answer number 6 please

Answers

Answer:

No, the triangles are not similar.

Step-by-step explanation:

For ΔNOP, since all triangles' angles equal 180°, to find the missing angle you subtract the given angles from 180

180-70=110, 110-58=52 ∠N = 52°

since ΔQRS does not have any angle measures of 58° or 52°, the triangles are not similar becasue similar triangles have congruent angles.

X+6-6x+10
(Combining like terms)

Answers

Answer:

Step-by-step explanation:

so you can always put a 1 infront of a stand alone x making 1x + 6 - 6x + 10

i also like to do a little trick were you can change the subtraction sign to an addition if you make what you subtraction negitive

so we have 1x + 6 + -6x + 10

we can add 6 and 10 and 1x and -6x make an end result of

-5x + 16

(or the other way since it is addition)

plzzz help me plz Show how to find the x-intercepts of this parabola using factoring and the Zero Product Property. Select the answer which is the sum of all solutions to this equation, rounded to the nearest tenth.

y = -10x2 + 8x + 24

Answers

Answer:

x = -6/5 and x = 2

Step-by-step explanation:

y = -10x² + 8x + 24

0 = -2(5x+6)(x-2)

5x+6 = 0 x-2 = 0

5x = -6 x = 2

x = -6/5

8x² + 16x - 62 = -5, solve by completing the square. PLEASE HELP IVE BEEN STRUGGLING FOR HOURS

Answers

Answer:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130\\}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]

Step by step:

Step 1: Subtract -5 from both sides.

8x2+16x−62−(−5)=−5−(−5)

8x2+16x−57=0

For this equation: a=8, b=16, c=-57

8x2+16x+−57=0

(plus-minus) = ±

Step 2: Use quadratic formula with a=8, b=16, c=-57.

x=[tex]\frac{-b(plus-minus)\sqrt{x} b^2-4ac}{2a}[/tex]

x=[tex]\frac{-(16)(plus-minus)\sqrt{(16)^2-4(8)(-57)} }{2(8)}[/tex]

x=[tex]\frac{-16(plus-minus) \sqrt{2080} }{16}[/tex]

ANSWER:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]

find the missing angle
50 points

Answers

Answer:

i believe it is 73 degrees

Step-by-step explanation:

Answer:

73°

Step-by-step explanation:

All interior angles of a triangle add up to 180°

We are given the angle measure of 17°. Since the triangle is a right triangle, it's safe to assume that the second angle is 90°.

90 + 17 = 107

180 - 107 = 73

The third angle should be 73°. Hope this helps!

Trapezium ABCE is made from parallelogram ABCD
and isosceles triangle ADE.
A
B
106°
E
D
Work out the size of angle AED.

Answers

Answer:

Angle AED=32 degrees

Step-by-step explanation:

angle ADC=angle ABC because parallelogram

then angle ADC=106 degrees

angle EDA is supplementary to angle ADC (ADC+EDA=180 degrees)

then angle EDA=74 degrees

because triangle ADE is isosceles, angle EAD=angle EDA

since the total angles in a triangle =180 degrees,

Angle AED=180-2(74)=32 degrees

Applying the definition of isosceles triangle and parallelogram, the size of angle AED is: 32°.

Facts about Parallelogram and Isosceles TriangleThe opposite angles in a parallelogram have equal angle measures.The two angles that are directly opposite the two equal sides in an isosceles triangle are congruent.

Thus:

m∠ABC = m∠ADC = 106° (opposite sides of parallelogram)

m∠ADC = 106°

m∠ADE = 180 - 106 = 74°

m∠AED = 180 - 2(74) (isosceles triangle)

m∠AED = 32°

Thus, applying the definition of isosceles triangle and parallelogram, the size of angle AED is: 32°.

Learn more about parallelogram on:

https://brainly.com/question/3050890

-8 + x - 4 + 9x
Need help

Answers

Answer:

Step-by-step explanation:

-8+x-4+9x = -8-4+x+9x

= -12+10x

PLEASE MARK BRAINLIEST.

PLEASE HELP ASAP
Which expression is not equal to 1?

A} sin θ csc θ
B} cos θ sec θ
C] tan θ cot θ
D} sin θ cos θ

Answers

Answer:

D} sin theta cos theta

Step-by-step explanation:

Edge

Answer:

Step-by-step explanation:

Edge2021

what is the solution for −5x = 25?

Answers

Answer:

-5

Step-by-step explanation:

-5x=25

x=25/-5

x=-5

Answer:

x=-5

Step-by-step explanation:

divide -5 on both sides and you get x=-5

Trinh wants to save 1,250 total after 15 months to put towards a vacation

Answers

Answer:

good for them

Step-by-step explanation:

i need more of the problem though

The height y in feet of a movable bridge after rising for x seconds is represented by the equation y=3x+16

Answers

What’s the question?

Answer:

The question is to graph the equation

Step-by-step explanation:

6x -4+2(5x+2)=16x
help plz

Answers

The answer Would be 1 or incase infinite solution

answer is 44

Step-by-step explanation:

6×4+2(5×2) or 2(3×4+5×2

one factor: 2×2(3×2+5

solution: 2×2(3×2+5

Triangles ABC and JKL are similar. What is m

Answers

H. 66

One triangle equals 180 degrees so you subtract 48 - 180= 132. Then you divide 132 by two because the bottom two angles are equal so 132/2 equals 66

Sorry that was confusing hope this helps!

Which is equivalent to 216 Superscript one-third?

3
6
36
72

Answers

Answer:

I think is 6

hope this answer be right

Answer:

Step-by-step explanation:

Simplify the expression d + 11 - 8d.

Answers

the answer is -7d+11

11-7d is the answer.

what is figure formed by two rays that originate from the same point?
A. angle
B. Parallel line
C. Perpendicular lines
D. line segment

Answers

B is the answer
Parallel lines it the answer

2 to the 3rd power - 4 x 2 + 3

Answers

the answer to your question is 3

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