Given: Triangle ABC Prove: m∠A=64°

By the triangle sum theorem, the sum of the angles in a triangle is equal to . Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=64°.

Answers

Answer 1

Answer:

Given: Triangle ABC Prove: m∠A=64°

By the triangle sum theorem, the sum of the angles in a triangle is equal to . Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=150


Related Questions



What is the greatest possible error for a measurement of 2 fluid Ounces?

Answers

Answer:

2.35

Step-by-step explanation:

2 x 2 eqaul 9 times 2

Solve the system of equations using the substitution method.
S 4x + 5y=7
ly=3x +9
Enter your answers in the boxes.
2
X=
y=

Answers

Answer:

x = -2.

y = 3.

Step-by-step explanation:

If y = 3x + 9

Substitute this value for y in the first equation.

4x + 5(3x + 9) = 7

4x + 15x + 45 = 7

19x = 7 - 45

19x = -38

x = -38/19

x = -2.

with this value of x, substitute -2 in the second equation

y = 3(-2) + 9

y = -6+9

y = 3.

check if your values are all correct

4(-2) + 5(3) = 7

-8 + 15 = 15 - 8 = 7

Correct!

Is this table proportional?
XY
1 3 3
4 12
5 15
7 21

Answers

Yes it is proportional for a table

The verticles of a triangle are the points R(3,c),Q(9,2) and R(3c,11) where c is constant. Given that angle PQR is 90​

Answers

Answer:

Step-by-step explanation:

Find c if ∠PQR = 90°?

I will ASSUME you mean point P is at (3. c)

slope of PQ is (2 - c) / (9 - 3) = (2 - c) / 6

slope of QR is (11 - 2) / (3c - 9) = 9 / (3c - 9)

perpendicular lines have negative reciprocal slopes.

(2 - c) / 6 = -1(3c - 9)/9

9(2 - c) = -6(3c - 9)

18 - 9c = -18c + 54

       9c = 36

         c = 4

For the following problem, y varies directly as x If y = 34 when x = 4 , find y when x is 3.

Answers

Answer:

Step-by-step explanation: plug in 3 for X and then solve

Give me 5 stars

can someone please find the slope for this?

Answers

The gradient is 1/4.

As you take two points the line passes though, then use the rise/run equation to find the slope or gradient

Use the Fundamental Theorem of Calculus to find y′. pls help

Answers

Use This Since You provided no context:

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating the gradient) with the concept of integrating a function (calculating the area under the curve). ... This implies the existence of antiderivatives for continuous functions.

Help help math math

Answers

Answer:

There are 24 different combinations.

Step-by-step explanation:

2x4x3= 24

can you help me solve 4x - 15 = 17 - 4x

Answers

[tex]4x-15 = 17-4x\\\\\implies 4x +4x = 17 +15\\\\\implies 8x = 32\\\\\implies x = \dfrac{32} 8\\\\\implies x = 4[/tex]

Domain and Range from this functions

F(x)= (1/4x-1)^3 +2

Answers

Answer:

Domain:(−∞,2)∪(2,∞),{x|x≠2}

Range:(−∞,0)∪(0,∞),{y|y≠0}

HELP!? ✋


What strategies help prevent cancer?

Select all that apply.

Question 8 options:

using sunscreen


avoiding tobacco


getting enough sleep


eating a healthy diet

Answers

All of them are strategies for preventing cancer

Please hurry and answer!

This graph gives growth of a plant overtime what is the slope of the line, and what does the slope mean in situation

select from the drop down menus to correctly complete the statement

The slope is blank which means that the plant blank by blank everyday

Answers

Using the slope of the linear function, it is found that:

The slope is of 0.5, which means that the plant grows by 0.5 inches each day.

A linear function is modeled by:

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

In which:

m is the slope, which is by how much the output y changes when the input x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

x is the time in days.y is the height in inches.

Two of the points are: (0,0) and (2,1).

The slope is given by change in y divided by change in x, hence:

[tex]m = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]

Then, applying the interpretation:

The slope is of 0.5, which means that the plant grows by 0.5 inches each day.

To learn more about slopes and linear functions, you can take a look at https://brainly.com/question/16302622

Answer:

hes correct. the slope is 0.5 and it grows 0.5 inches everyday

Step-by-step explanation:

Which choice is equivalent to the product below?
V8,5
O A. 4/10
O B. 10-12
C. 13
O D. 22/10

Answers

Answer:

Option D

2√10

Step-by-step explanation:

√8 • √5 = √8 × 5 = √40 = 210

Thus, √8 • √5 = 2√10

-TheUnknownScientist 72

Need help find the value of x

Answers

X=9
There is explanation

2(3x-12)=6(x-2)

PLEASE HELP!!!

Answers

ANSWER: There are no solutions

What is the slope of the line (1,4) (3,2)

Answers

Step-by-step explanation:

the slope is the ratio of "y coordinate change / x coordinate change".

so, in our case here

x changes by +2 (from 1 to 3).

y changes by -2 (from 4 to 2).

so, the slope is -2/2 = -1.

The slope is 567 ok thanks and love ya

❗100 POINTS ❗
FOR a correct explanation of why this ain't right

I'm forced to do this 4 sb and I fr dk what HOW THIS ISNT CORRECT?!

pls help

thx​

Answers

Factors of 36 are the list of integers that we can split evenly into 36. There are overall 9 factors of 36 among which 36 is the biggest factor and its positive factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The Pair Factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9) and (6, 6) and its Prime Factors are 1, 2, 3, 4, 6, 9, 12, 18, 36.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36

Negative Factors of 36: -1, -2, -3, -4, -6, -9, -12, -18 and -36

Prime Factors of 36: 2, 3

Prime Factorization of 36: 2 × 2 × 3 × 3 = 22 × 32

Sum of Factors of 36: 91

Factors of a number are the numbers that divide the given number exactly without any remainder. According to the definition of factors, factors of 36 are those numbers that exactly divide 36 leaving no remainder. In other words, we can say if two numbers are multiplied and the product is 36, then the numbers are factors of 36.

Let us do a hit and trial method to find factors of 36.

Divide 36 ÷ 2 = 18

Quotient = 18, remainder = 0

Now multiply 18 × 2 = 36

Hence, 18 and 2 are the factors of 18.

36 is a composite number as it has factors other than 1 and itself.

We can use different methods like the divisibility test, prime factorization, and the upside-down division method to calculate the factors of 36.

The most common method we use to find factors is the prime factorization method.

In prime factorization, we express 36 as a product of its prime factors.

In the division method, we see which numbers divide 36 exactly without a remainder.

Let us calculate factors of 36 using the following two methods:

Factors of 36 by prime factorization factor tree method

Factors of 36 by upside-down division method

Prime Factorization of 36 by Upside-Down Division Method

Now as discussed above, in the prime factorization method we show factors of 36 as a product of prime factors of 36. Follow the steps to find the prime factors of 36 by the prime factorization method.

With the help of divisibility rules, find out the smallest factor of the given number. Here, 36 is an even number. So it is clearly divisible by 2. In other words, 2 divides 36 with no remainder. Therefore, 2 is the smallest prime factor of 36.

36 ÷ 2 = 18.  Now find the prime factors of the obtained quotient. Repeat Step 1 and Step 2 till we get a prime number as the quotient. Here, 18 is the quotient.

18 ÷ 2 = 9. Here, 9 is the quotient. Now find the prime factors of the 9.

9 ÷ 3 = 3. Here 3 is the prime number. So we can stop the process.

Prime factorization of 36 using upside-down division method is 2 × 2 × 3 × 3 = 2² × 3².

Prime Factorization of 36 by Factor Tree Method

The factor tree method is another visualization method to represent factors of 36. It also helps in determining prime factors of 36. A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6.

Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².

Explore factors using illustrations and interactive examples

Factors of 33: The factors of 33 are 1, 3, 11, and 33.

Factors of 34: The factors of 34 are 1, 2, 17, and 34.

Factors of 38:  The factors of 38 are 1, 2, 19, and 38.

Factors of 30: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

Factors of 360: The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

Factors of 35: The factors of 35 are 1, 5, 7, and 35.

Factors of 37: The factors of 37 are 1 and 37.

Factors of 36 in Pairs

Factor pairs are the two numbers that, when multiplied, give the number 36. Find all of the factors of the number 36 using the steps below:

Step I: Start with 1 and the number itself.

Step II: Count up by ones to see if you can multiply two numbers together to get your target number.

Step III: Stop when you can’t get any more numbers in between.

Step IV: Connect the factor pairs.

Factor pairs of 36 are given below:

36 = 1 × 36

36 = 4 × 9

36 = 6 × 6

36 =12 × 3

36 = 18 × 2

Let us club the numbers in pairs.

The factors of 36 in pairs are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).

There are a total of 5 pairs of factors of 36.

We can have negative factors also for a given number.  

Since the product of two negative numbers is positive [(-) × (-) = +].

The negative pair factors of 36 are (-1, -36), (-4, -9), (-6, -6), (-12, -3), and (-18, -2)

There are a total of 5 negative pairs of factors of 36.

Important Notes:

36 is a composite number as it has factors other than 1 and itself.

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Pair factors of 36 are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).

1 is a factor of every number.

Prime factorization of 36 is 2 × 2 × 3 × 3 = 2² × 3².

Challenging Questions:

Find the factors of 3600 with the help of techniques used in finding factors of 36.

Prove that the factor of a number is always less than or equal to the number itself?

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )

Answers

Answer:

A (2,2) B (2,4) C (3,2) D (3,3)

Step-by-step explanation:

K = 1/2

K is the scale factor so the distance between points will be cut in half

A 4,4 new 2,2

B 4,8 new 2,4

C 6,4 new 3,2

D 6,6 new 3,3

Answer:

A = (2,2)

B = (2,4)

C = (3,2)

D = (3,3)

Step-by-step explanation:

Leave a brainliest if this helped

You go to a restaurant and get a bill for $95. You need to tip the waitress. The service was good so you decide on tipping the waitress 20%. What is the tip that the waitress will receive

Answers

Answer:

19 dollars.

Step-by-step explanation:

0.20 x $95.00=$19.00.

19 dollars because 20% of 95 is 19. You can find this by doing 20% (or 0.2) times 95 :)

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

[tex]f^{-1} (x) =x-11[/tex]

Step-by-step explanation:

[tex]f(x) = x+11\\\\\text{Write f(x) as y = x+11}\\\\\text{Replace x with y,}\\\\x = y+11\\\\\text{Solve for y}\\\\x=y+11\\\\\implies y= x-11\\\\\implies f^{-1} (x) = x-11[/tex]

rotate point B about point F 288 degrees clockwise

Answers

When a shape is rotated, it must be rotated through a point

The new position of point B is point A

The angle of rotation is given as:

[tex]Angle = 288^o[/tex]

The shape is a regular pentagon (with 5 sides).

The smallest angle of rotation that maps the pentagon onto itself is calculated using:

[tex]\theta = \frac{360}n[/tex]

So, we have:

[tex]\theta = \frac{360}5[/tex]

[tex]\theta = 72[/tex]

Let the number of rotations be n.

So, we have:

[tex]\theta \times n= Angle[/tex]

This gives

[tex]72 \times n= 288[/tex]

Divide both sides by 72

[tex]n= 4[/tex]

This means that the new position of B is 4 points away from B.

Point A is 4 points away from B, in clockwise direction

Hence, the new position of point B is point A

Read more about rotation at:

https://brainly.com/question/2283733

Max's parents bought $8,000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 3 years to repay the loan?

Answers

Answer:

1440

Step-by-step explanation:

Please help ASAP
Solve for X.

Answers

Answer:

86

Step-by-step explanation:

So the angle your trying to find has another angle 4 the triangle is a right triangle so 90-4=86

Hopes This Helps :)

TE Irene has a collection of 32 dolls that have either blue eyes or green eyes. She has 14 more green-eyed dolls than blue-eyed dolls. How many dolls of each type does Irene have? Let x represent the number of green-eyed dolls. Let y represent the number of blue-eyed dolls.​

Answers

The formula

x + y = 32

Find our X value

y + 14 = x

Sub for x

(y + 14) + y = 32

Remove Parathesis

y + 14 + y = 32

Add

2y + 14 = 32

Subtract

2y = 18

Divide

y = 9

Sub for y

x + 9 = 32

Subtract

x = 23

Double Check:

9 + 14 = 23

23 + 9 = 32

I hope this helps! :)

Directions: Compare the sides and angles by filling in the blank with a < or > symbol.

Answers

The correct comparison as shown in the figures are:

QR < QSAB >  CDm<FJG > m<HJGm<QSP > m<QSR

From the given diagram, we are to fill in the blank spaces with a < or > symbol.

21) The measure of the angles is a function of the measure of the sides.

Since the angle facing the side QR is less than that of QS, hence QR < QS

22) Similarly for this figure, the angle facing the side AB is greater than that of CD, hence AB >  CD

23) Also, for this figure, the side facing the angle m<FJG is greater than the side facing the angle m<HJG, hence m<FJG > m<HJG

24) Also, for this figure, the side facing the angle m<QSP is greater than the side facing the angle m<QSR, hence m<QSP > m<QSR

Learn more on angles here: https://brainly.com/question/16281260

1) f(4) = g(4)
2) f(4) = g(-2)
3) f(2) = g(-2)
4) f(-2) = g(-2)

Answers

Answer: 4)

Step-by-step explanation:

f(4) = -14

g(4) = 10

g(-2) = 4

f(2) = -8

f(-2) = 4

The correct statement is 4) f(-2) = g(-2)

Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and    y = 4. So, f(-2) = g(-2) = 4 is true

PLEASE HELP
no linkss

Answers

Answer:

-5.2, -4.75, -9/2

Step-by-step explanation:

From least to greatest it is -5.2, -4.75, -9/2

WILL GIVE BRAINLIEST

Answers

Answer:the slope of the line is 5/3

The y-intercept is 0

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation:

What is another way to write 54?


5×5×5×5

4+4+4+4+4

4×4×4×4×4

5+5+5+5
IT CANT BE NONE OF THE ABOVE

Answers

Answer: 5^2.48 is honestly as close as you can get.

I’m assuming you mean 5^4

So 5x5x5x5

Hope this helps

round 78300 nearest hundred

Answers

Answer:

78300 rounded to the nearest hundred is 78300.00 it would basically be the sam thing as 78300

Step-by-step explanation:

Hope this helps :)

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