if 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures ...

If 2 Of The Angles Of A Triangle Are 30 And 70 Degrees, The Third Angle Measures ...

Answers

Answer 1

Answer:

The third angle measures 80°

Step-by-step explanation:

Let us solve the question

In any triangle

∵ The sum of the measures of the interior angles of a triangle is 180°

∵ The angle of triangles are ∠1, ∠2, and ∠3

m∠1 + m∠2 + m∠3 = 180°

∵ Two of the angles of the triangle are 30° and 70°

∴ m∠1 = 30°

∴ m∠2 = 70°

→ Substitute them in the rule above

30° + 70° + m∠3 = 180°

→ Add the like terms

∵ (30 + 70) + m∠3 = 180

∴ 100 + m∠3 = 180

→ Subtract 100 from both sides

∵ 100 - 100 + m∠3 = 180 - 100

m∠3 = 80°

The third angle measures 80°


Related Questions

Which is an equation of a direct proportion?

Answers

Answer:

y=6x-6

Step-by-step explanation:

i think not sure tho

Answer:

y = 6x

Step-by-step explanation:

i just got it right on TTM

Find the volume of the conical paper cup.​

Answers

Answer:

i think it is A sorry if I am worng

Answer:

21 is the correct answer

Step-by-step explanation:

HELPPP!!!!!
A system of equations is given below:

x + 2y = 7
-3x + 4y = 9

Nicole says she would multiply the first equation by 3 and add the two equations together to eliminate the x's. Michael says he would multiply the first equation by 2 and add the two equations to eliminate the y's.

Who is correct? and explain why.

Answers

Answer:

Nicole is correct

Step-by-step explanation:

by multiplying the first equation by 3 it becomes:

3x + 6y =21

this can cancel the -3x in the second equation when adding them together

Answer:

Nicole is correct, since when she multiplied by 3, she cleared the x's, since one x was already negative, and the other one was positive. Michael is incorrect since when he multiplied by 2, he didn't realize that both y's were positive, so they didn't clear.

Step-by-step explanation:

Let's see what will happen if we do what Nicole says:

x+2y=7

-3x+4y=9

multiply the first equation by 3 on both sides

3(x+2y)=7(3)

3x+6y=21

-3x+4y=9

now let's add them.

10y=30

We can see that the x's are cleared, since one x is positive and the other is negative.

Now let's try what Michael says.

x+2y=7

-3x+4y=9

multiply first equation by 2

2(x+2y)=7

2x+4y=7

-3x+4y=9

now let's add

-x+8y=16

the y's aren't eliminated, since both of them are positive.

Nicole is correct, since one x is positive and another was negative, and when opposite numbers are added together, they  cancel out and equal zero.

Hope this helps!

Find the explicit formula for
arithmetic
sequences.
38, 238, 438, 638, ..

Answers

Answer:

200n - 162.

Step-by-step explanation:

first trem a1 = 38

common difference d = 200

nth term = a1 + (n-1(d

= 38 + 200(n-1)

= 200n - 162

The explicit formula for arithmetic sequences is 200n - 162.

What is an arithmetic sequence?

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given sequence is 38, 238, 438, 638,

first trem a₁ = 38

Common difference d = 200

nth term = a₁ + (n-1(d

nth term = 38 + 200(n-1)

nth term = 200n - 162

To know more about arithmetic progression follow

https://brainly.com/question/6561461

#SPJ2

Hi, how to do question 10:)?

Answers

Step-by-step explanation:

For the cubic function to be an increasing function, dy/dx > 0 for all real values of x.

dy/dx

= d/dx [4x³ + 4px² + 16x - 9]

= 12x² + 8px + 16.

We have 12x² + 8px + 16 > 0.

=> 3x² + 2px + 4 > 0,

where a = 3, b = 2p and c = 4.

For the quadratic function to have a range that is always positive, the discriminant must be less than 0.

(in order to have no real roots)

We have b² - 4ac < 0.

=> (2p)² - 4(3)(4) < 0

=> 4p² - 48 < 0

=> p² - 12 < 0

=> p² < 12

=> -√12 < p < √12

=> -2√3 < p < 2√3.

That was a very long process but hopefully you understand all of it!

A rectangle has a length of (2x-7) and a width of (x+5) perimeter

Answers

Answer:

6x - 4

Step-by-step explanation:

Perimeter is equal to double the length plus double the width, and if you use this to find perimeter, you would get that the perimeter = 2(2x-7)+2(x+5), which simplifies to 4x - 14 + 2x + 10, which simplifies to 6x - 4. That means that the rectangle's perimeter is 6x-4.

PLEASE HELP ME !!

A line goes through the point (0, -7) with a slope of -4.
If you write the equation in standard form, what is the coefficient of x?

Answers

Answer:

[tex]\huge\boxed{\sf The\ co-efficient\ of\ x\ is\ -4.}[/tex]

Step-by-step explanation:

Slope = m = -4

Y-intercept = c = -7 ( Because that is the point where x = 0 )

Equation:

[tex]\sf y = mx+c\\\\y = -4 x+(-7)\\\\y = -4x-7[/tex]

So, The co-efficient of x is -4.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Will give brainliest!!! The MTC Theater holds 250 people, and last night’s performance sold out! Students under the age of 16 paid $2.50 per ticket, while everyone else paid $4.00 per ticket. Last night’s show brought in $910.

Write a system to represent the given equations.

How many adult tickets were sold?

How many under the age of 16 tickets sold

Answers

60 children tickets and 190 adult tickets were sold.

Step-by-step explanation:

Let the no. of adult tickets sold be 'a'

Let the no. of children tickets sold be 'c'

Total tickets sold = 250

Cost of 1 children ticket = $2.5

Cost of 1 adult ticket = $4

Total money collected= $910

Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910

Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190

6 boy students make up 24% of the total class how many total students are in class

Answers

Answer:

There are 25 students in the class.

Step-by-step explanation:

1. Set up an equation. The equation would be 6 = 24/100x.

2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.

Answer:

25 students

Step-by-step explanation:

25 x 0.24 = 6


What is the slope from the following equation?
52x - 620 = y

Answers

Answer:

m=52

Step-by-step explanation:

(-3p3 + 5p2 – 2p) + (-p3 - 8p2 – 15p)
Find the sum

Answers

Answer:

-3p3+ 5p2- 2p -p3 -8p2-15p

-3p3-p3+5p2-8p2-2p-15p

4p3-3p2-17p

Math practice, help please

Answers

Step-by-step explanation:

.........................

Help me with this pls

Answers

Answer:

x=145

Step-by-step explanation:

There are two ways to solve:

-Vertical angles Theorem states that opposite angles are congruent, so x=145 degrees.

-Sameside angles are supplementary so:

35+x=180

Subtract 35 from both sides:

x=145

A wise man once said, "200 reduced by
twice my age is 60." What is his age?

Answers

Answer: 42 ?

Step-by-step explanation:

Answer:

70 years old

Step-by-step explanation:

Lets say this man’s age is x

200- 2x= 60

2x=140

x=70

Two numbers have a sum of 9 when added together.
The same two numbers have a product of 20 when multiplied together.
Complete the table and write a system of equations to represent the two numbers.

Answers

Answer:

5 + 4 = 9 5 × 4 = 20

the numbers are 5 and 4

the answer is 5 and 4

hope this helps!!

so sorry if its wrong!!

Love: Deku~ <3

Finding Missing Angle Measures in a Quadrilateral A trapezoid has angles 54 degrees, 54 degrees, x, and x. Look at the trapezoid shown. What is the measure of angle x? The measure of each angle x is 54° 90° 126° 252°

Answers

Answer:

the answer is C 126°

Step-by-step explanation: well first i picked B 90° and it was wrong then i picked C and i got it right

Solve the system using elimination,
2x - 3y = - 19
7x + 7y = 21

Answers

Answer:

x = -2

y = 5

Step-by-step explanation:

2x - 3y = -19  ---------------------------(I)

7x+ 7y = 21  -----------------------------(II)

Multiply equation (I) by 7 and equation (II) by 3.Then add and so y will be eliminated and you will get the value of x

(I)*7              14x - 21y = - 133

(II)* 3           21x + 21y = 63          {Now add}

                   35x          = -70

                                x = -70/35

x = - 2

Plug in x = - 2 in equation (I)

2*(-2) - 3y = -19

-4 -  3y  = -19

     -3y = -19 + 4

     -3y = -15

         y = -15/-3

y = 5

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each situation to its corresponding expression.

Answers

Answer:

I mean how can I answer this???????????????????????

Can someone help me I’ll mark brainliest thank you

Answers

Answer:

[tex]x = 2 \: cups[/tex]

Step-by-step explanation:

Step 1: Lay out the proportion.

[tex] \frac{ \frac{1}{3} \: cups}{16 \: brownies}= \frac{x}{96 \: brownies} [/tex]

Step 2: Multiply 1/3 cups by 96 brownies.

[tex] \frac{1}{3} \: cups \: \times \: 96 \: brownies \: = 32[/tex]

Step 3: Divide by 16 brownies.

[tex]x = 32 \div 16 \: brownies = 2 \: cups[/tex]

Pls help
Show workings

Answers

Answer:

2:3

3:2

Step-by-step explanation:

*
What type of number can -14 be classified as?
O Whole Number
O Irrational Number
O Integer

What type of number can 1.758 be classified as?

O Irrational Number
O Integer
O Whole Number
O Rational Number


Answers

1. Integer

2. Rational

Answer:

[tex] - 14 = integer \\ 1.758 = rational[/tex]

plzz mark it as brainliest..

We get the same result if we multiply a number by 4 or if we multiply the number by 7 and then add 9. Find the number.

Answers

Answer:

I think it’s when you multiply by 7 then add 9 but it’s just what I think.

Step-by-step explanation:

The answer of this question is 12 but i am always getting the wrong answer.So please help 60÷3[150÷2{6+3(17-14)}]​

Answers

Answer:

22500

Step-by-step explanation:

I'm not 100% sure

Given answer is wrong.

This is the solution:

60/3[150/2{6+3(17-14)}]

60/3[150/2{6+3(3)}]

60/3[150/2{6+9}]

60/3[150/2{15}]

60/3[150/30]

60/3[5]

60/15

4

Tenley is making a square frame for her painting. She is using 4 pieces of wood that are each 3.55 feet long. How much wood will Tenley use to make the frame?

Answers

Answer:

14 feet of wood

Step-by-step explanation:

Help help help help
22

Answers

Answer:

(-10)² = -10 x -10 = 100

- 10² = - (10 x 10) = - 100

Step-by-step explanation:

(-10)² = -10 x -10 = 100

- 10² = - (10 x 10) = - 100

which theorem shows WQD = XRD

Answers

Answer:

SAS

Step-by-step explanation:

7th grade math help me please :))

Answers

Answer:

40

Step-by-step explanation:

s = 2;

h = 4

Surface area = 2s² + 4sh

                     = 2*2² + 4 * 2 * 4

                    = 2 *4 + 32

                    = 8 + 32

                  = 40 sq. units

1/5 ÷ 2. simple for a couple of points lol

Answers

0.1

Have a amazing day!!

Answer:

1/10 and in decimal form, it would be 0.1

Write the following decimals in order from smallest to largest:
0.021, 0.12, 0.2, 0.02

Answers

Answer: 0.02, 0.021, 0.12, 0.2

CAN SOMEONE PLS HELP WITH THIS ASAP

Answers

Answer:

the second option

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

theta = 45°

hypotenuse = 9

opposite = x

find x using the sin formula

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(45) = \frac{x}{9} [/tex]

[tex] \sin(45) \times 9 = x[/tex]

[tex] \frac{9 \sqrt{2} }{2} = x[/tex]

[tex]x = \frac{9 \sqrt{2} }{2} [/tex]

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