Find the unknown of the following

Find The Unknown Of The Following

Answers

Answer 1

Step-by-step explanation:

For 4.

4b + 2b + 3b = 180°< Sum of angles of triangle >

9b = 180°

b = 180° / 9

b = 20°

4b = 4* 20° = 80°

2b = 2* 20° = 40°

3b = 3 * 20° = 60°

For 5.

x = 64° + 45° <Exterior angle of a triangle is equal to the sum of two opposite interior angles>

x = 109°

Hope it helps :)


Related Questions

raj obtained fifty-one per cent score in an exam with 459 marks if ria gets 702 marks in same exam find the percentage obtained by ria

Answers

Answer:

The percentage (score) obtained by Ria is 78%

Step-by-step explanation:

The given percentage Raj obtained in the exam = 51%

The marks Raj obtained = 459 marks

The marks Ria obtained in the same exam = 702

The percentage obtained by Ria is given as follows

Let x represent the total score of the exam, we have;

51% of x = 459

Therefore;

51/100 × x = 459

x = 459 × 100/51 = 900

The total score in the exam = 900

The percentage score obtained by Ria is therefore given as follows;

Ria's percentage score = (Ria's raw score/(The total score of the exam)) × 100 = (702/900) × 100 = 78%

Therefore, the percentage (score) obtained by Ria = 78%.

Which fractions are equivalent to 1/8+5/8? Check all that apply.

Answers

The equivalent fractions are 3/4 & 12/16 hope this helps!!

Answer:

3/4 and 12/16

Step-by-step explanation:

[tex]\frac{1}{8} +\frac{5}{8} =\frac{1+5}{8} =\frac{6}{8} =\frac{3}{4} \\\\\frac{12}{16} =\frac{3}{4}[/tex]

Use the linear equations to answer the question.
y=2/3x-3
y=-3/2x+2
Which statement about the lines is true?

Answers

Answer:

c. the lines are perpendicular.

Step-by-step explanation:

What is the slope of the line on this graph

Answers

Answer:

In math, slope is used to describe the steepness and direction of lines

Step-by-step explanation:

Please help me fast!!!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?

Include A.M. or P.M. in your answer.

Answers

Answer:

1:35 pm

Step-by-step explanation:

Given that:

Chicago tour schedule :

Willis tower = 1 hour 10 minutes

Navy piers = 3 hours 10 minutes

Shopping = 1 hour 15 minutes

(1 hour 10 min) + (3 hour 10 minutes) + (1 hour 15 minutes)

Total touring time in Chicago = 4 hours 35 minutes

Dinner time is slated at 5:10 pm

Latest time to start tour :

5:10 pm - 4 hours 35 minutes = 1 :35 pm


Solve the system:

x=49-5y
x=16-2y

Write down the solution.

Answers

49 - 5y = 16 - 2y
49 = 16 + 3y
33 = 3y, y = 11
x = 49 - 5(11)
x = 49 - 55, x = -6
Solution: x = -6, y = 11

If b= 3, then b-2 is equivalent to

Answers

Answer:

1

Step-by-step explanation:

son

Use the substitution method.

b-2

3-2

= 1

Answer :

1

PLEASE HELP ME WITH THIS. 5 POINTS

Answers

Answer:

I think b is not proportional

Parallel lines have the same slope

Answers

This question is true!

True.

Any and all lines that are parallel share the same slope.

Simplify:

7r + 10 - 2(2r + 3s - 5t) + 2(4s - t) + 5 *

Answers

Answer:

3r+2s+8t+15

Step-by-step explanation:

After simplifying 7r+10-2(2r+3s-5t)+2(4s-t)+ 5, you will have 3r+2s+8t+15.

I dont know how to dis um can yalls help me yalls are so nice for helping me thx

Answers

Answer:

5 gallons

Step-by-step explanation:

5 gallons np bro good luck

An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.15. Let x be the number of trustworthy FBI agents tested until someone fails the test. What is the probability that the first false-positive will occur when the third person is tested

Answers

Answer:

[tex]Probability = 0.108375[/tex]

Step-by-step explanation:

Given

Let the probability of false positive be represented with p

[tex]p = 0.15[/tex]

Required

Determine the probability the first occurrence of p was at the third person

We have that:

[tex]p = 0.15[/tex]

The  probability that a trustworthy person do not fail the test (q) is:

[tex]q = 1 - p[/tex]

[tex]q = 1 - 0.15[/tex]

[tex]q = 0.85[/tex]

The required probability implies that:

The first person did not fail: i.e. 0.85

The second person did not fail: i.e. 0.85

The third person failed: i.e. 0.15

This is then calculated as:

[tex]Probability = 0.85 * 0.85 * 0.15[/tex]

[tex]Probability = 0.108375[/tex]

Hence, the probability that the first false positive occurred at the third person is 0.108375

Ted likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 959595 minutes. He wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis he will go if he runs at the same pace for 285285285 minutes.

Answers

Answer:

im looking for the anwser

Step-by-step explanation:

The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)
and Q(c,-7,4)
Find the values of:
a=
b=
C=

Answers

Answer:

The values are:

a = -5/2

b = -6

c = -7

Step-by-step explanation:

Given

P = (x₁, y₁, z₁) = (1, 2, b)  

Q =  (x₂, y₂, z₂) = (c, -7, 4)  

As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b)  and Q(c,-7,4), so

m = R = (x, y, z) = (-3, a, -1)

Using the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

given

(x₁, y₁, z₁) = (1, 2, b) = P

(x₂, y₂, z₂) = (c, -7, 4) = Q

m = (x, y, z) = (-3, a, -1) = R

substituting the values in the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

as (x, y, z) = (-3, a, -1), so

[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

so solving 'c'

-3 = (1+c) / (2)

-3 × 2 = 1+c

1+c = -6

c = -6 - 1

c = -7

solving 'a'

a = (2+(-7)) / 2

2a = 2-7

2a = -5

a = -5/2

solving b

-1 = (b+4) / 2

-2 = b+4

b+4 = -2

b = -2-4

b = -6

Thus, the values are:

a = -5/2

b = -6

c = -7

Verification:

[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

put a = -5/2, b = -6, c = -7

[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{1+\left(-7\right)}{2},\:-\frac{5}{2},\:\frac{\left(-6\right)+4}{2}\right)[/tex]

[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{-6}{2},\:-\frac{5}{2},\:\frac{-2}{2}\right)[/tex]

[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(-3,\:-\frac{5}{2},\:-1\right)[/tex]

PLEASEE HELP ME!!!!!!!!!!!

Answers

Answer:

26%

Step-by-step explanation:

13/50=0.26

0.26x100=26%

-2/7x - 11 + 4/7x - 7

Answers

Answer:

2/7x - 18

Step-by-step explanation:

-2/7x - 11 + 4/7x - 7

rearrange the expression so it's easier to add, optional

-2/7x + 4/7x - 11 - 7

2/7x - 18

Determine if each function is linear or non linear.

y = x/2 - 19,
3y = x^2,
13y = 1/3x + 5,
y = x + 25/5
y^3 = x

Answers

Answer:1)Linear 2)Non linear 3)Linear 4)Linear 5)Non linear

Step-by-step explanation:

If x is alone with no degree, it’s linear.

2×2 write the correct answer below

Answers

Answer:

4 :-)))))))) have a wonderful day!

Parallelogram P was dilated to form parallelogram P prime.

Parallelogram P has side lengths of 10 and x + 3. Parallelogram P prime has side lengths of 20 and 8.

What is the value of x? (Figures not drawn to scale.)

Answers

Answer:

x = 1 is the correct answer of this question plz mark my answer as brainlist plzzzz vote me also .....

Answer:

1 is the answer

Step-by-step explanation:

got a 100% on my test

The length of a rectangle is 5cm more than width. Find expression fo the perimeter of the rectangle in terms of the w

Answers

Answer:

Perimeter [tex]=4w+10[/tex]

Step-by-step explanation:

Let [tex]w[/tex] = width of the rectangle.

From the information "length of a rectangle is 5cm more than width", we can write:

Length = [tex]w+5[/tex]

- - - -

Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)

[tex]=2(w+5)+2w[/tex]

[tex]=2w+10 + 2w[/tex]

[tex]=4w+10[/tex]

∴ The expression of the perimeter of the rectangle in terms of [tex]w[/tex] is [tex]4w+10[/tex].

Hope this helps :)

Please help I have ten minutes

Answers

Answer:

$10 per hour

Step-by-step explanation:

As you can see, at (2, 20) the employee earns 20 dollars for 2 hours and at   (4, 40) we can see the employee earn $40 per 4 hours.  So we can find the slope of these two points to get the answer.

Slope formula y1-y2/x1-x2

so plug it in    

40-20/4-2 and we get 20/2 =10

Apollo Spas services 253 hot tubs. If each hot tub needs 115 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?

Answers

Answer:

29.095

Step-by-step explanation:

115 x 253 = 29095 mL

convert mL to Liters

Just do 29095 divided by 1000

urgent answer please!!! :)

Answers

Answer:

a and b are relative on maxima interval x =-4,x=0

what is 0.94 (m) in (cm)​

Answers

Answer:

the answer is 94cm

Step-by-step explanation:

1m=100cm

0.94m= 0.94×100

= 94cm

Hope it will help you.......

Answer: Convert 0.94 Meters to Centimeter (m to cm) with our conversion calculator and conversion tables. To convert 0.94 m to cm use direct conversion formula below.

0.94 m = 94 cm.

Hope this helps....... Stay safe and have a Merry Christmas!!!!!!! :D

I just want to say that my account got deleted yesterday and i would love if i could get at least 18-25 friends by Christmas.

g E. (i). An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. What is the probability that the first strike comes on the third well drilled

Answers

Answer:

0.128

Step-by-step explanation:

Given that :

Probability of striking oil = p = 20% = 0.2

Striking occurs on the 3rd well drilled : x = 3

Hence ;

P(x = 3) =?

Using a geometric probability function :

p(x = x) = (1 - p)^(x - 1) * p

P(x = 3) = (1 - 0.2)^(3 - 1) * (0.2)

P(x = 3) = 0.8^2 * 0.2

P(x = 3) = 0.64 * 0.2

P(x = 3) = 0.128

The price of a shirt is usually £64 During a sale the prices in the shop are reduced by 3/4 How much is the shirt in the sale ?​

Answers

Answer:

£16

Step-by-step explanation:

Step one:

given data

The price of a shirt is £64

When the price is reduced by 3/4, i.e 0.75

the reduced amount can be calculated as

0.75*64

=£48

Step two:

The new price or the cost of the shirt when the price is reduced is

= 64-48= £16

What is the greatest common factor of
ax^2+ax+a

Answers

Answer:

The GCF is a.

General Formulas and Concepts:

Algebra I

Factoring

Step-by-step explanation:

Step 1: Define

ax² + ax + a

Step 2: Condense

Factor GCF:                     a(x² + x + 1)

Given: FG is an median. What can you conclude?

Answers

Answer:

The last option line DG is congruent to line GE

Step-by-step explanation:

Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side

So basically G is the midpoint of DE because FG is the median.

The last option, we can conclude that line DG is congruent to line GE

What is median?

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.

We are given that FG is an median.

Thus, basically G becomes the midpoint of DE because FG is the median.

So, DG = GE

Hence,

The last option, we can conclude that line DG is congruent to line GE

Learn more about median;

https://brainly.com/question/17060266

#SPJ2

What is the slope of a line going through these 2 points? Point 1: (12,16) Point 2: (34 , 49)​

Answers

Answer:

1.5

Step-by-step explanation:

What is a new denominator

Answers

1/2

1= Numerator
2= Denominator
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