find the measure of angle 1

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

helppp!!
right answers only please!

Answers

Answer:

Y-intercept

Step-by-step explanation:

The y-intercept is the part of the line that crosses the y-axis.

The red dot (where the arrow is pointing to) is the y intercept

PLEASE ANSWER THIS! THANKS! :D

Answers

€31.65 is the answer to your question

Answer:

38 euros

Step-by-step explanation:

ok, so,

you know that

£3 is equal to 4 euros

this means that    0.75 pound is equal to 1 euro

       28.50/0.75=38

do 38 times 1, which means that it is 38 euros

please mark me as brainliest!!!<3

I’ll give u brainilest just help

Answers

Answer:

11 44 0.250

18 48 0.375

11 40 0.275

about number 3 i have no idea

Step-by-step explanation:

prove me wrong

What single percentage change is equivalent to a 7% increase followed by a 22% increase?

Answers

Step-by-step explanation:

You can see hier - Percentage Change Calculator

Please help with these problems..
at least one.

Answers

Answer:

4(5q-8), q=6

4(5(6)-8)=

4(30-8)=

4(22)=

88

r+(-8)/2. r=12

12+(-8)/2=

4/2=

=2

(11b+4)/9. b=7

(11(7)+4)/9=

(77+4)/9=

(81)/9=

9

Step-by-step explanation:

Identify the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ...

Answers

Answer:

the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ... is 6

HELP!!!!! Suppose the distance between two cities on a map is 5.2in the scale is 1 in =80miles what's the actual distance between the cities.

A) 408 miles
B) 400 miles
C) 424 miles
D) 416 miles

Answers

Answer:

80*5.2= 416

D: 416 miles

Can someone help me with this? I don’t understand it!! (Conditional Property)

Answers

Answer:

19%

Step-by-step explanation:

What is the probability that those who ordered a large drink was a cold one?

27 drinks in total

5 cold

5/27*100%

Hope this helps!

A number pattern was created by dividing the previous term by 3. If the starting value for the pattern was 135, which of the following shows the resulting pattern?
A.
135, 45, 30, 5...
B.
135, 45, 15, 5...
C.
135, 45, 15, 2...
D.
135, 45, 30, 25...

Answers

Answer:

B. 135, 45, 15, 5...

Step-by-step explanation:

I'll go in order from 135 using the pattern shown (tᵇ/3)

135 / 3

135 = 120 + 15

135/3 = (120/3) + (15/3)

135/3 = 40 + 5

135/3 = 45

All four answer choices show this, so no elimination yet.

45 / 3

45 = 30 + 15

45/3 = (30/3) + (15/3)

45/3 = 10 + 5

45/3 = 15

A and D show 30 as term 3, so they are out.

15 / 3

15/3 = 5

C shows 2 as term 4, so that is also out.

This leaves B as the correct answer.

Find the length of the hypotenuse left

Answers

Answer: 2.45

Step-by-step explanation:

I use pythagorean theorem after i found the total of leg A and leg B

What value of x makes the equation below true? −2x=−36 A x=−34 B x=−38 C x=−18 D x=18

Answers

Answer:

D x = 18

Step-by-step explanation:

Given equation:

−2x = −36

Divide both sides by -2 to find x

−2x / -2 = −36 / -2

x = −36 / -2

x = 18

x = 18 makes the equation −2x = −36 true

You get 10 points❄️ Plz plz plz is math

Answers

answer x=-7

explanation:

Are x+2 (7-x) and x+20-3x equivalent?

Answers

Answer:

No

Step-by-step explanation:

I need help like NOW!

Answers

Answer:

5t

Step-by-step explanation:

kinda self explanatory

dividing it, adding it, and subtracting it wouldnt make sense for the equation youre trying to solve.

Answer:

5t

Step-by-step explanation:

Simplify the expression below:

3(3.5y + 2x)​

Answers

10.5y + 6x

and it's done

I need help ASAP I’ll mark brainliest help please #1

Answers

Answer:

B

Step-by-step explanation:

8-5=3, 1-(-7)=8, 3^2+8^2=73, and the square root of 73 is 8.5

I need help with this question...

Answers

Answer:15

Step-by-step explanation:

we know from the markings on the sides of the triangle that this is an equilateral triangle. The angles of an equilateral triangle are all equal. because of this, we can put these two equations to equal each other
since we are solving for y, we want to isolate y on one side.

6x+6=5y+10
-10 -10
6x-4=5y
divide both sides by 5

6/5x-4/5=y

A water taxi travels around an island in a path that can be modeled by the equation y=0.5(x-14)^2 . A water skier is skiing along a path that begins at the point (6,4) and ends at the point (8,4)
Write a system of equations to model the problem.
Is it possible that the water skier could collide with the​ taxi? Explain

Answers

Answer:

 

A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point (6,6) and ends at the point (8. - 4).

a. Write a system of equations to model the problem.

b. Is it possible that the water skier could collide with the taxi? Explain

Step-by-step explanation:


1. When the point is reflected over x-axis, what will
the new coordinates of the new point be?

Answers

Answer:

(x , y) ----> (-x , y)

Step-by-step explanation:

(x , y) ----> (-x , y)

Example for 1. :

(-4,2) ---> (4,2)

PLS LOOK AT THE PIC AND HELPPP PLSSS

Answers

Answer:

4x +  -6.03 = 2.07

Step-by-step explanation:

first one:

there are four big white boxes so that equals 4x

6 negative ones so its -6

3 negative 0.1 so its -0.3

add up 06 and -0.3 and that's -6.03

second one:

there are two squares that each equal one so that would be two and add the 7 0.1's and that will be 2.07


4 in.
5 in.
6 in.
I

Answers

What is the exact question? It seems like you are asking for the Pythagorean theorem. Ok, I’ll try to help if that’s the case.

a^2 + b^2 = c^2
4^2 + 5^2 = c^2
16 + 25 = c^2
41 =c^2
6.403124237432849 = c

So now since we have the answer, we need to figure out if this result and 6 are equal.

6^2 = 36

25 + 16 = 41

41 and 36 are not equivalent so if the case is that u want me to find the Pythagorean theorem, then the answer is that they aren’t equal. And the real answer is that c equals 6.403124237432849. Which means that 4in, 5in, 6in is not the correct order. And that 16in, 25, 41 is the correct order.

I hope this helped!

Equivalent expression for m-(8-3m)

Answers

Answer:

4m-8

Step-by-step explanation:

answer

Answer:

4m - 8

Step-by-step explanation:

Given expression,

→ m - (8 - 3m)

Simplifying the expression,

→ m - (8 - 3m)

→ m - 8 + 3m

→ 4m - 8

→ 4(m - 2)

Hence, answer is 4m - 8.

Mark and Jen me at the beach yesterday July 31. Might go to the beach every third day in Django ceviche before three. How many times will they be at the beach on the same day over the next 30 days?

Answers

Answer:

The number times both Mark and Jen will be at the beach on the same day over the next 30 days is 10 times.

Step-by-step explanation:

Every third day implies that they both go the beach and then have a two day break, and then go the beach on the day after.

Put simply, every third day implies one day in three days.

Based on the above, the number times both Mark and Jen will be at the beach on the same day over the next 30 days can be calculated by dividing 30 by 3 as follows:

Number times both Mark and Jen will be at the beach = 30 / 3 = 10

Therefore, the number times both Mark and Jen will be at the beach on the same day over the next 30 days is 10 times.

-2x + y = 1.3
2(0.5x - y) = 4.6

Answers

Answer:

x=-2.4

y=-3.5

Step-by-step explanation:

A store is selling T-shirts. Which is the best deal?

8 for $26
5 for $30
4 for $15
12 for $39
10 for $45

Answers

divide cost by quantity. The lowest rate is the best buy:

26/8 = 3.25 each

30/5 = 6.00 each

15/4 = 3.75 each

39/12 = 3.25 each

45/10 = 4.50 each

The 8 for 26 and the 12 for 39 are both the same price each and are the better buys.

Help!!! EASY!!! HELP DUE SOON!!!

Answers

4 + 3 + 2 = 9
18/9 = 2

3 x 2 = 6

Answer = 6

Solve for the missing variable

Answers

Answer:

4x+4=5x-8

4x-5x+4=-8

4x-5x=-8-4

-x=-8-4

-x=-12

x=12

Step-by-step explanation:

Help please
Which graph does not represent a function?

Answers

The first one is the one that doesn’t represent a function
The answer is A trust me.

PLEASE HELP WILL GIVE BRAILEST TO CORRECT ANSWER!!!!
Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 – 4x2y + 3x3 +2. Explain which student is correct and why.

Answers

Answer:

opps type miss

Step-by-step explanation:

miss type

HELP PLEASE! DELTA MATH! THANKS!
Last year at a certain high school, there were 140 boys on the honor roll and 68 girls on the honor roll. This year, the number of boys on the honor roll increased by 5% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

11.5

Step-by-step explanation:

Find new values:  

140(1+0.05)=147  

68(1+0.25)=85

Last Year This Year

Boys 140 147

Girls 68 85

Total 208 232  

Find overall increase:  

208(1+r)=232

1+r=1.115385  

r=0.115385

Final Answer: 11.5%

The total number of students on the honor roll increased by 11.5%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

The percentage increase in the number of boys on the honor roll is 5%, which means that the number of boys on the honor roll this year is 1.05 times the number of boys on the honor roll last year:

1.05 x 140 = 147

The percentage increase in the number of girls on the honor roll is 25%, which means that the number of girls on the honor roll this year is 1.25 times the number of girls on the honor roll last year:

1.25 x 68 = 85

Therefore, the total number of students on the honor roll this year is:

147 + 85 = 232

The percentage increase in the total number of students on the honor roll is:

((232 - 208) / 208) x 100% = 11.5385%

Rounding to the nearest tenth gives an answer of 11.5%.

Therefore, the total number of students on the honor roll increased by 11.5%.

Learn more about percentages here:

brainly.com/question/24159063

#SPJ3

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