find the measure of angle 1

Answers

Answer 1

Answer:

[tex]\displaystyle 70° = m\angle{1}[/tex]

Step-by-step explanation:

Consecutive Interiour Angles are supplementary, so set both expressions equivalent to one hundred eighty degrees:

[tex]\displaystyle 180° = [9x + 38]° + [6x + 22]° \hookrightarrow 180° = [60 + 15x]° \hookrightarrow \frac{120}{15} = \frac{15x}{15} \\ \\ 8 = x \\ \\ \\ [6[8] + 22]°; [48 + 22]° \\ \\ 70° = m\angle{4}[/tex]

As you can see, we plugged the x-value into the expression for the fourth angle because if you recall, you can tell that angles [tex]\displaystyle 1\:and\:4[/tex]are vertical angles, and accourding to the Vertical Angles Theorem, these angles are considered congruent, therefore seventy degrees is also the measure of the first angle.

I am joyous to assist you at any time.

Related Questions

Need answers for #3 please hep

Answers

I got the 12 for my answer

For the diagram below, set up an equation and solve for all missing variables, find x. Plz help

Answers

Answer:

x=20

Step-by-step explanation:

56 bananas Is what percent of
80 bananas?

Answers

Answer:

70%

Step-by-step explanation:

Branlist please!

Answer:

56 bananas Is what percent of

80 bananas?

56/80x100

=70%

49x + 9 = 49x + 83

PLEASE quickkkk i need a specific explanation on how to do this

Answers

first you cancel terms on both sides of the equation which gets you 9=83 the statement is false so it’s x= ø

Answer:

Step-by-step explanation:

49x + 9 = 49x +83

-49x -9

---------------------------

Dominique's age is 4 years less than twice brother's age b. Dominique is 12 years old. How old is her brother? Write an equation and solve using the replacement set of (6,7,8)

Answers

Answer:

Step-by-step explanation:

Dominique - 12

Brother- 12 / 6 * 4

12 / 6 is 2 then 2 * 4 is 8.

So her brother is 8 years old.

To prove this multiply 8 by 2 givig you 16. then 16 - 4 giving you 12. This means the answer is correct because dominique is supposed to be 4 years less than TWICE THE AGE OF HER BROTHER.

IF YOU DON'T UNDERSTAND PLEASE ASK AND I'LL GIVE YOU MORE CLARIFICATION :)

HOPE THIS HELPED

Answer:

Step-by-step explanation:

yeah 4-12x=2

so 16

6 - 8x = 5x - 9x - 22

Answers

Answer:

x is 7 in this question...

Help!!”A 41-foot rope is stretched from the top of a 40-foot flagpole to the ground. How far is the base of the flagpole from the end of the rope.”

Answers

Answer:

9 feet away

Step-by-step explanation:

40²+b²=41²

1600+b²=1681

b²=81

b=9

The base of the flagpole from the end of the rope is 9 feet.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Hypotenuse = 41 foot

Base = x

Height = 40 foot

Applying the Pythagorean theorem.

41² = x² + 40²

1681 = x² + 1600

x² = 1681 - 1600

x² = 81

x = 9

Thus,

The base of the flagpole from the end of the rope is 9 feet.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

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Three times two more than some number :

Answers

Answer:

Step-by-step explanation:

Answer:

6+x

Step-by-step explanation:

3(2)+x

6+x

what are the missing reasons in the proof. im having an hard time with this.

Answers

Answer:

Please see below

Step-by-step explanation:

Step 3: Definition of parallelogram

Step 4: Alternate internal angles between parallel lines AB // CD

Step 5: Reflexive property of congruence

Step 6: ASA theorem

Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure 5/6 meters on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway? (whoever answers the question first correctly will get brainiest.)

Answers

Answer:

Figure it out yourself I just told you how to do it

Step-by-step explanation:

Search are my plans on building you find me along garden walkway this is paid with square stone that is mushroom 5 / 6 meters on each side but if there is no spaces between the stones than that means it 5A few times 5 meters and 6 / 5 you will get your answer on how long the stalls will be needed to complete the garden walkway

I need this answer ASAP

Answers

Answer:

i think the area is 60 i added it up

Mrs anglin is driving her car at a constant speed of 90 miles in 2 hours select three statements that are true based on her speed to receive full credit must select the correct three responses

Answers

Answer:

She traveled 45 miles in 1 hour She traveled 270 miles in 6 hours She traveled 360 miles in 8 hours

Step-by-step explanation:

If Mrs. Anglin traveled at a speed of 90 miles in 2 hours, it means that her speed per hour is:

= 90/2

= 45 mph

If she is travelling at 45mph then in 1 hoour she would have traveled 45 miles.

In 6 hours she would have traveled:

= 45 * 6

= 270 miles

In 8 hours she would have traveled:

= 45 * 8

= 360 miles

please help me with this.

Answers

1.) 1 3/4 || 14/8 || 1 21/28
2.) 21/36 || 140/240
3.) 3 || 1 24/12 || 75/25 ||2 15/15

In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.

Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.

[Figure may not be drawn to sacle]

What is DG?

12 units
17 units
34 units
51 units

Answers

A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.

What is a triangle?

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle ΔDEF.

The centroid of the given triangle is G.

The medians of the triangle are DC, EB and FA.

CG = (x + 5)

DG = (3x - 2)

Here, CG and DG are parts of the median DC.

Since, centroid of a triangle divides its each medians into the ratio of 2 : 1

in the direction from the vertex to the midpoint of the opposite side.

The following expression can be written for the given problem,

DG/CG = 1/2

=> (3x - 2)/ (x + 5) = 1/2

=> 2(3x - 2) = x + 5

=> 6x - x = 5 + 4

=> x = 9/5

=> x = 1.8

Thus, DG = (3x - 2)

= 3 × 1.8 - 2

= 2.4

Hence, the length of DG is given as 2.4 unit.

To know more about triangle click on,

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Answer:

34 units

Step-by-step explanation:

The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.

help please... definition and an example of a quadratic function

Answers

Answer:

Step-by-step explanation:

Quadratic function is a function that can be described by an equation of the form fx = ax2 + bx + c, where a ≠ 0.

Example:

1. Use the graph of y = x2 + x - 6 to solve x2 + x - 6 = 0.

2. Use the graph of y = -x2 + 4 to solve -x2 + 4 = 0.

3. Use the graph of y = x2 -2x + 1 to solve x2 -2x + 1.

what are the ordered pairs

Answers

Answer:

A and B

Step-by-step explanation:

Please give me the correct answer

Answers

Answer:

(-3,-2)

Step-by-step explanation:

If you draw a line across from Point A to -3, and a line down from Point P to -2, you get the point (-3,-2) and a right triangle.

NEED HELP ASAP
jasmine is baking and selling cupcakes for $15 per dozen she would like to make more than $120 in cupcake sales which number line below represents the solution to the situation

Answers

Answer:

Step-by-step explanation:

Simplify the expression 5 to the power of 3 x 5 to the power of -5.

Answers

Answer:

5^-2

Step-by-step explanation:

5^3 * 5^-5

~Use exponent rule [ x^y * x^z = x^y+z ]

5^3+(-5)

~Simplify

5^-2

Best of Luck!

Annalise withdraws $22.50 each day from her account for a week. How can you represent the change in her account after 2 weeks?

Answers

Answer: She would have $315

Because there are 7 days in a week so you multiply 22.50 by 7 and you get 157.5, Then because she does it for two weeks you multiply 157.5 by 2 and you get 315

Hope this helps

Answer:

By subtracting

Step-by-step explanation: If you subtract 22.50 by 2 your answer will get lower

PLZ PLZ someone help me

Answers

Answer:

y=4/5x

Step-by-step explanation:

Y= 4/5x hope I helped :)

Hey ! I’m trying to find the slope. If you could help me that’ll be great thank you !!

Answers that might be:

A. 2/3
B. 1
C. 0
D. -1

Answers

Answer:

The answer is B. 1

Step-by-step explanation:

rise over run

1/1=1

Answer:

I'm pretty sure it's B. 1

Step-by-step explanation:

Because I got 2 points where the line crosses and I made a triangle joining the points

Then I did the change in y/change in x

and so I did 2/2 and got 1

hopefully that's right :)

Is (-10, 10) a solution to this system of equations?
18x + 20y = 20
20x – 2y = 9
yes
no

Answers

Answer:

(The first system is correct but the second one is wrong)

Step-by-step explanation:

You can plug (-10,10) into these equations

a) 18(-10)+20(10)=20

-180+200=20

20=20

b) 20(-10)-2(10)=9

-200-20≠9

-220≠9

yoooyoyooyoyoyoyoyoyoyooyo help

Answers

Answer:

Step-by-step explanation:

according the the pythogryamthreme the distance between 30 degress and 40 would vary since the length of 40 would change there by multipling 2 to 40 and 30 then times that by pie then divide it by 2 you should get the value for x, but for y it is more complex you see you much find the slope and plabora of the value x and 40 then using the 2 numbers times it by 30 after divide both numbers to each other resulting in the answer

Quantities x and y are in a proportional relationship.

Answers

Answer:

yes they are

Step-by-step explanation:

Answer:

yes.

Step-by-step explanation:

they are.

Find the slope of the line that passes through the points (2,4) and (6,12)?

Answers

Answer:

2 hurry!

Step-by-step explanation:

Answer:

m=2

Step-by-step explanation:

y2-y1/x2-x1

12-4/6-2

=8/4=2

m=2

What is 72871872672638+8298197891718989+89792797970120=

A) 8.4608626e+15

B) 3890217873487833

C) 7393299382h+9282

D) 5

Answers

Answer:

A 8.469862e+15 so that is the answer hope u get the answer cprrect

?
Solve for X
9x + 8 = -1

Answers

Answer:

x = -1

Step-by-step explanation:

9x + 8 = -1

Subtract 8 from each side

9x + 8-8 = -1-8

9x = -9

Divide each side by 9

9x/9 = -9/9

x = -1

If ur right I'll give you brainily

Answers

Answer:

I think the missing length is 7x -5

Step-by-step explanation:

answer: if the x=2

16.2=32 32-6=26

4.2=8 8+1=9 26-9=17

5.2=10 10-2=8 17-8=9

7.2=14 14-5=9 9-9=0

Answer:

7x-5

Step-by-step explanation:

While completing a DLA test virtually, Deidra answered 8 out 30 questions incorrectly. If the ratio remains constant, how many questions should Deidra answer correctly out of 45 questions?

Answers

Deidra should get 33 questions correct and 12 questions incorrect if she completes a tests with 45 questions.

If the ratio of incorrect questions to total questions is 8:30, that can be simplified down to 4:15.

There are 3 15's in 45 so you need to multiply 4 by 3 to get 12 incorrect answers.

To work out the amount of correct answers, you need to take the incorrect answers away from the total questions.

Answer:

I wnat to say its 19

Step-by-step explanation:

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