Two lines and a ray intersect at a
point as shown in the diagram
Write and solve an equation to find the value of 2 Find the measure of
DAE
110°
A
D
(+4)
30
E

Two Lines And A Ray Intersect At Apoint As Shown In The DiagramWrite And Solve An Equation To Find The

Answers

Answer 1

Answer:

m<DAE = 80°

Step-by-step explanation:

Given that m<CAB = 110°,

m<DAE = (x + 4)°,

m<EAF = 30°,

m<EAF + m<DAE = m<DAF (angle addition postulate)

30° + (x + 4)° = m<DAF (substitution)

(34 + x)° = m<DAF

<DAF and <CAB are vertically opposite angles. Vertically opposite angles are said to be congruent. Therefore:

m<DAF = m<CAB

(34 + x)° = 110° (substitution)

The equation above can be used to solve for x as follows:

34 + x = 110

x = 110 - 34 (Subtracting 34 from both sides)

x = 76

m<DAE = (x + 4)°

Plug in 76, to replace x

m<DAE = 76 + 4

m<DAE = 80°


Related Questions

If f(x) = 2x - 3, find the following values: a) f(0)= b) f(-2) = c) f(5)=

Answers

[tex]f(0) = 2 \cdot 0 - 3 = 0 - 3 = -3\\f(-2) = 2 \cdot (-2) - 3 = -4 - 3 = -7\\f(5) = 2 \cdot 5 - 3 = 10 - 3 = 7[/tex]

A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Find the z-score corresponding to the given value and use the z-score ti determine whether the value is significant.

Answers

Answer:

It is 4

Step-by-step explanation:

find the length of the missing side

a) 17 cm
b) 22 cm
c ) 15 cm
d) 13 cm

Answers

a^2 + b^2= c^2
5^2 + 12^2= c^2
25 + 144= 169
/169= 13

The answer is D

The missing side of the triangle is measure 13 cm.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two sides of right triangle are,

⇒ 5 cm, 12 cm

Since, The triangle is a right triangle.

So, We can apply the Pythagoras theorem as;

Let the measure of missing side = x

⇒ x² = 5² + 12²

⇒ x² = 25 + 144

⇒ x² = 169

⇒ x = √169

⇒ x = 13 cm

Learn more about the triangle visit:

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Eliza started the week with $274 in her bank account. This week she babysat for 16 hours and made $144.25. Eliza then went to the store and bought a new video game for $57.99, how much does she have left at the end of the week after buying her video game?

Answers

Hi. I hope this helps!

I believe the answer is 330.26 left.

1. First you add 274 and 144.25

You get 388.25

2. The. You subtract the amount of the video game from 388.25

You get 330.26

I hope this helps! Have a great day!

The answer is 2.95 (correct to 2 decimal places)

List 5 numbers that could have been rounded up to give 2.95

Answers

Answer:

2.947

2.946

2.948

2.949

2.945

Step-by-step explanation:

all decimal points are 5 or greater so you round up.

Answer:2.9477843782957987827878

Step-by-step explanation:

Please help me out A,B,C OR D?⚠️

Answers

Answer:

what r u tryna figure out

Answer:

B

Step-by-step explanation:

II stands for 2 in roman numerals

18/5 turns into 3 3/5

4.66666666666666 is just what it is

square root of 30 is in between 5 and 6 so yeah

plz help ASAP I can't figure out

Answers

Answer:

x = ±√17

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side of the equation, you do to the other.

Also note that the x has a power of 2. To isolate the x, simply root both sides of the equation.

x² = 17 ; √x² = √17 ; x = ±√17

~

Which function is most likely graphed on the coordinate plane below? f(x) = 3x – 11 f(x) = –4x + 12 f(x) = 4x + 13 f(x) = –5x – 19

Answers

Answer:

D

Step-by-step explanation:

It's D on Enginuity

The graph of the function in the coordinate plane is f(x) = –5x – 19.

What is a Graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

As per the given diagram:

The x intercept of the line = -ve

The y intercept of the line = -ve

For f(x) = 3x - 11

x intercept = +ve

y intercept = -ve

Hence, not possible

For f(x) = -4x + 12

x intercept = +ve

y intercept = +ve

Hence, not possible

For f(x) = 4x + 13

x intercept = -ve

y intercept = +ve

Hence, not possible

For f(x) = -5x - 19

x intercept = -ve

y intercept = -ve

Hence, possible

The function plotted on the coordinate plane is f(x) = –5x – 19.

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Write an expression for the sequence of operations described below. subtract c from the difference of 7 and 6 (slightly confused help me qwq)

Answers

The differenceeof two numbers is just another name for subtraction.

c - (7 - 6)

We can even simplify this expression further.

c - 1

evaluate each expression.
Example: Evaluate 10 increased by 8
Answer: 18


Evaluate: 20 decreased by 5

Answers

Answer:

15

Step-by-step explanation:if you take a way five from 20 you get 15 because 20-5 is 15

if you start at 1 and go to twenty 5 before that is 15

- If there are 12 inches in a foot, what is 4,096 cubic inches converted to cubic feet? a. 28.44 ft3 c. 2.370 ft b. 341.33 ft3 d. 4.096 ft3​

Answers

Step-by-step explanation:

2.370.

One cubic foot equals 1728 cubic inches. So, to convert from cubic inches to cubic feet you should divide your cubic inches figure by 1728.

I hope it helps!

Find 4ac when a=3 and c+39

Answers

Answer:

468

Step-by-step explanation:

a=3 and c=39

4(3)(39)

468

i believe you accidently wrote c+39 instead of c=39 :)

Answer:

468

Step-by-step explanation:

Replace:

4(3)(39)

=468

simplify 9x+4(x+2)-5

Answers

The answer is 13x+5.

Answer:

13x + 3

Step-by-step explanation:

9x + 4x + 8 -5

13x + 3

Just multiply (x + 2) by 4

and add simply.

I hope now you got it.

Given the three points (0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the parabola opens. A) The equation is f(x)=3x^2−33/4x+3, and the parabola opens upward B)The equation is f(x)=−3x^2+9x+3, and the parabola opens downward C)The equation is f(x)=−4x^2−13x+3, and the parabola opens downward. D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.

Answers

Answer:

D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.

Help me plz!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

it would be a 25% decrease

Answer:

25% i believe

Step-by-step explanation:

5-6x.8571 = 8x8571 + 17

Answers

false

Step-by-step explanation:

If 7p-4=8 , what is the value of p?

A)7/12

B)7/4

C)12/7

D)4/7

Answers

C) 12/7

Sol:-

7p=8+4

ஃ p=12/7.

Hope it helps you!!

Step-by-step explanation:

7p=8+4

7p=12

p=12/7

the correct answer is option A

Which of these points is farthest from the origin?
A. (0,8)
B. (2, 11)
C.(-6, -8)
D. (-12,0)

Answers

Answer:

The answer to the picture is 19 square units if I remember correctly.

Step-by-step explanation:

Write the decimal 1.0001 in in word form

Answers

Answer:

I think it's one and one ten thousanths

Answer:

one and one ten-thousandth

Step-by-step explanation:

The answer is one and one ten-thousandth because:

1) The decimal point stands for "and"

2) The first 0 represents the tenths place

3) The second 0 represents the hundredths place

4) The third 0 represents the thousandths place

5) The one represents the ten-thousandths place

Hope this helps!

Select all sets in which the number -3/4
is an element
A. rational numbers
B. integers
C. natural numbers
D. whole numbers
E. irrational numbers
Freal numbers

Answers

Answer:

Rational numbers is the correct answer for this.

Step-by-step explanation:

Rational numbers is the best and correct answer.

which expression is equivalent to the given expression square root of 45

Answers

Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

Solve using Surd

[tex] \sqrt{45} = \sqrt{9 \times 5} \\ = \sqrt{ {3}^{2} \times 5 } \\ = 3\sqrt{5} [/tex]

The expression 3√5 will be equivalent to a square root of 45.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the expression √(45)

⇒ √(9×5)

⇒ √(3²×5)

⇒ √(3²)√(5)

Since the square root of a square is the same number

So,

⇒ 3√5

Hence "The expression 3√5 will be equivalent to a square root of 45".

To learn more about the arithmetic operators,

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0.297
x7.1
=297
+ 20790
21.087
O True
O False

Answers

Answer:

False.

Step-by-step explanation:

0.297x7.1=2.1087

2.1087+20790= 20792.1087

Talia has a square framed moving box with an area of 16 square feet. The cube shaped box has a volume of 66 cubic feet. Will the poster lie flat in the box?

Answers

Answer:

4,4,64,larger,larger,would

Step-by-step explanation:

Begin by finding the dimensions of the poster. Since it is in the shape of a​ square, each edge will be the same length. and 16 divided by 4 is 4 and then you do 16 x 4 you get 64 and then you know is the box larger or not in this case the box is larger.

Find the inverse of the following function g(x) = 2x+10/4

Answers

Answer:

Step-by-step explanation:

To find the inverse of the function you need to swap x and y

g(x)=y so therefore if you switch x and y, you get

x= 2y+ 10/4

Next, you need to get all of the values on the y side over to the x side. To do this you need to subtract 10/4 from the y side of the equation.

x-10/4=2y+10/4-10/4

The end product of this should be... (This is not your answer)

x-10/4=2y

Now you need to get rid of the 2 on the y side. To do this you need to divide both sides of the equation by 2

2/x-10/4=2y/2

So your answer is...

x-10/4 over 2 = y

OR

2/x + 5/4 = y

Lots of love,

-Kiddoo <3

What is the greatest common factor (gcf) of 56 and 98

Answers

Answer: The greatest common denominator is 14

How do I solve this problem?​

Answers

the answer is 879.65cm^2
the formula to find the surface area is 2(pi)(r)(h)+2(pi)(r^2)

46.91-28.7
What is 46.91-28.7

Answers

Answer:

18.21

Step-by-step explanation:

Step 1:

46.91 - 28.7

Answer:

18.21

Hope This Helps :)

3(-X+4)=7x-8. Yeahhhh...

Answers

Hey there!☺

[tex]Answer:\boxed{x=2}[/tex]

[tex]Explanation:[/tex]

[tex]3(-x+4)=7x-8[/tex]

Let's start by simplifying both sides. First, we distribute.

[tex](3)(-x)+(3)(4)=7x+-8[/tex]

[tex]-3x+12=7x+-8[/tex]

[tex]-3x+12=7x-8[/tex]

Now let's subtract 7x from both sides.

[tex]-3x+12-7x=7x-8-7x\\-10x+12=-8[/tex]

Now we will subtract 12 from both sides.

[tex]-10x+12-12=-8-12\\-10x=-20[/tex]

In our last/final step, we will divide both sides by -10.

[tex]\frac{-10x}{-10}=\frac{-20}{-10}[/tex]

Now simplify -20/-10.

[tex]-20/-10=2[/tex]

[tex]x=2[/tex]

Hope this helps!

20. SAILING On a sailing trip, each passenger needs a
life jacket, a lunch, and a bottle of water. Write an
expression in simplest form that represents the
weight carried by r passengers on the sailing trip.
Interpret the expression.

Answers

Expression in simplest form represents the weigt

Can someone please work this out step by step for me

Answers

I assume we're solving for n.

3n/7 - 1 = 1/8.

First, add 1 to both sides.

3n/7 = 9/8

Now, let's multiply both sides by 7

3n = 63/8

Divide both sides by 3

n = 21/8

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