Mathematics High School

Find the missing angles indicated by small letters in each of the diagram.

Answers

Answer 1

Answer:

a) X=75°

y= 105°

b) b= 120°

a=45°

d) r=75°

q=37°

p= 37°

e) y=100°

X= 143°

Step-by-step explanation:

soln no. a

here,

X+50+55=180(sum of all angle of triangle)

or, X= 180-105

or, X= 75°

again,

X+y = 180 (straight angle)

or, y= 180-75

or, y= 105°

soln no b

here,

b+60=180(straight angle)

or, b = 180 - 60

or, b = 120°

again,

a+60+75=180(sum of all angle of triangle)

or, a = 180- 135

or, a = 45°

soln no. d

here,

r=70°( alternate angle)

again,

73°+q+r=180( sum of all angle of triangle)

or,q=180-143

or,q=37°

again,

p=q=37(alternate angle)

soln no. e

y+80=180(straight angle)

or,y= 180-80

or, y = 100°

again,

63+80+<RMB=180(sum of all angles of triangle)

or, 143+<RMB=180

or, <RMB=180-143

or,<RMB= 37°

again,

X+ <RMB= 180(straight angle)

or,X= 180°-37°

or, X = 143°

Related Questions

Need help ASAP!!! Use the function below to find the stuff in the picture!!!

Answers

f(x) = 3^x, f(-2)
Substitute
f(-2) = 3^ -2
= 1/9
Therefore it’s b

Answer: B. 1/9

Step-by-step explanation:

Plug in -2 to the ^x

f(x) = 3^-2

3^-2 = 0.111111111111

0.1111111111 = 1/9

Correct me if I am incorrect.

1.What is the domain of this graph?____

Answers

Answer:

x=2

Step-by-step explanation:

Plz help I will answer any questions u have if u help me

Answers

Answer:

12. C

13. A

Step-by-step explanation:

What is 13/12 as a percentage?

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13/12 x 100= 108.33%

what is 24% of 80 plzz help

Answers

Answer:19.2

Step-by-step explanation:

how many would juile see?

Answers

Answer:

Step-by-step explanation:

4*4*__=48

16*__=48

48/16=3

3*4=12

Answer:

12 boxes on the right side

Step-by-step explanation:

4 going across and 3 rows so 12 boxes

48 divided by 3 is 16 but divided by 4 is 12

since there are 16 boxes at the top its a good inference that there's

only 3 flat rows meaning per every flat there would be 4 boxes and 3 rows

there would be 12 boxes on the right side.

Solve.

|x|−5=−20

–4 or 4

no solution

–100 or 100

100

Answers

Answer:

No Solution

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle \large{|x|-5=-20}[/tex]

First, Add both sides by 5 which leaves us [tex]\displaystyle \large{|x|=-15}[/tex]

By definition, an absolute value cannot be negative. There are no x-values that can equal to -15 because no matter what real numbers you put in or substitute, it will never become negative.

Hence, no solution.

-3x-2y=-6
-3x+2y=18
(?,?)

Answers

[tex]\left \{ {-3x-2y = -6} \atop {-3x+2y=18} \right. <=>\left \{ {-6x=12} \atop {-3x+2y=18} \right. <=> \left \{ {x=-2} \atop {y=6} \right.[/tex]

The answer: ( x ; y ) = ( -2 ; 6 )

Ok done. Thank to me :>

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=5/6x+5

Step-by-step explanation:

Just ask!

Hope this helps.

Sorry if I'm wrong.

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which ordered pair is a solution to the system of equalities y<3x y<5

Answers

Answer:

(6,2) x=6 y=2

Step-by-step explanation:

May I please receive help?

Answers

Answer:

Length of the shadow = 20.5 cm

Step-by-step explanation:

Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.

Definition:

The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.

The algebraic representation of the Pythagorean Theorem is:

c² (hypotenuse) = a² (leg₁) + b² (leg₂)

Solution

To solve for the given problem:

Let c = 38 m (distance from the top of the building to the tip of the shadow)

a = unknown length of the shadow

b = 32m (height of the building)

Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:

c² = a² + b²

Subtract b² from both sides:

c² - b² = a² + b² - b²

a² = c² - b²

Substitute the given values into the formula for solving a :

a² = c² - b²

a² = (38)² - (32)²

a² = 1444 - 1024

Next, take the square root of both sides to solve for a:

[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]

a = 20.49 or 20.5 cm

Therefore, the length of the shadow is 20.5 cm.

Plz help me give me answer

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

In 2012, New York had a population of about 19 million people,
and Vermont had a population of about 626,000 people. What
is the difference in populations between New York and
Vermont?
A) 13.4 x 106
B) 1.8374 x 107
C) 1.34 x 107
D) 1.7964 x 107

Answers

Answer:

B(if the option is 10^7 instead of 107

Step-by-step explanation:

no. of people in New York=19000000

no. of people in Vermont =626,000

difference in populations = 19000000-626,000 =18374000

therefore, the difference in populations is 18374000

(which can also be written as 1.8374x10^7)

Which of the following is equivalent to 2/9
A. 0.029
B.0.2
C.0.29
D.0.3
E.0.39

Answers

Answer:

B would be the answer:))

Step-by-step explanation:

Divide 2 by 9

I would say the answer is B because the answer is 0.222222 for the devils of 2/9.

Which option below is not a potential risk of purchasing a used car?
used cars can require repairs sooner
Shorter lifespans of the engine and transmission
used cars can have lower initial cost
unexpected issues may arise

Answers

Answer:

used cars can have a lower initial cost

Step-by-step explanation:

it is not a risk/hinder to purchasing a used car

HELPPP MEE PLEASEE I NEED HELP RIGHT NOWW !

Answers

Hi there!

Recall the formula for the area of a parallelogram:

A = b × h

b = base (mm)

h = height (mm)

Rearrange the equation to solve for the height:

A = bh

A/b = h

Plug in given values:

26.4/6 = 4.4 mm

Find (f/g)(5) for the functions
f(x) and g(x) given below.
f(x) = x2 +1 and g(x) = x - 4
=
=
(f/g)(5) = [?]
=

Answers

Answer:

Step-by-step explanation:

(f/g)(5)=

f(5)=(5)2+1÷g(5)=5-4

10+1/1

11/1

(f/g)=11

The required simplified value of the given function as (f/g)(5) is 26.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
f(x) = x² +1

f(5) = 5² + 1
f(5) = 26

g(x) = x - 4
g(5) = 5 - 4 = 1

f/g(5) = f(5) / g(5)
= 26 / 1 = 26

Thus, the required simplified value of the given expression (f/g)(5) is 26.

Learn more about simplification here:

https://brainly.com/question/12501526

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Answers

Answer:

Step-by-step explanation:

Each of three friends Lynn Jada and Andre has the goal of raising $40 how much money did each person raise according to the following Jada raise 50% of her goal

Answers

Answer:

is it 60$

Step-by-step explanation:

because if its 100% than it would be 40+40+40

due to 50% = 120 ÷50%

= 60

Plzzzzz help meeeee plzzzz I really d answa

Answers

Answer:

c. is correct answer I think

A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table.

A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6.

Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18?

−5
−2
3
12

Answers

Answer:

-2

Step-by-step explanation:

f(x)≈ -0.86x+13.5

putting x=18 in f(x), we get

f(x)≈ -0.86×18+13.5

⇒ f(x)≈ -15.48+13.5

⇒ f(x)≈ -1.98

⇒ f(x)≈ -2

Answer:B

Step-by-step explanation:

The answer is B also known as -2

Out of 74 students in the gym, 55 are sitting on the bleachers and the rest are sitting on the floor. What is the ratio of the number of students sitting on the floor to the total number of student?

Answers

Answer:

19:74

Step-by-step explanation:

74-55=the people sitting on floor=19

19:74

Type the correct answer in the box.
3 units
2 units
2 units
The area of the figure is
square units.
Reset
Next
Plz help

Answers

Answer:

8 units

Step-by-step explanation:

Area of square = 2x3 = 6 units

Area of triangle = (2x2)/2 = 2 units

Total area = 6 +2 = 8 units

Answer:

As previous answer stated, 8 units

Step-by-step explanation:

You multiply one side of the square by another to get 6 units, then, add the units from the triangle

The time it takes to distribute pamphlets varies inversely with the number of people distributing them. If it takes 40 min for 3 people to distribute the pamphlets, how long would it take if there were 5 people distributing the pamphlets?

Answers

Using proportions, it is found that it would take 24 minutes if there were 5 people distributing the pamphlets.

This question is solved by proportions, using a rule of three.The more people that are there distributing the pamphlets, the less time it takes, hence the measures are inverse proportional, which means that line multiplication is applied instead of cross multiplication.3 people take 40 minutes. How many minutes 5 people take?

The rule of three is:

3 people - 40 minutes

5 people - x minutes

Applying line multiplication:

[tex]5x = 120[/tex]

[tex]x = \frac{120}{5}[/tex]

[tex]x = 24[/tex]

It would take 24 minutes if there were 5 people distributing the pamphlets.

You can learn more about proportions at https://brainly.com/question/24372153

a piece of string 44 centermerters long.Many cuts of a piece that is 15 centermeaters long .how much string is left?

Answers

44 divided by 15 equal to 2.93333333

Factorise

0=X^2+3x-3

Answers

Answer: x = 0.79128784 and -3.79128784

Step-by-step explanation: Round them up

Factorizing an expression involves writing the expression in simpler forms

The expression cannot be factorized.

The expression is given as:

[tex]0 = x^2 + 3x - 3[/tex]

Rewrite the expression as:

[tex]x^2 + 3x - 3 = 0[/tex]

The above expression cannot be factorized.

This is so because 3x can not be expressed using terms that have the product of -3 and x^2

Answers

Answer:

Step-by-step explanation:

no I said no no nono nooooooo

find g12 in the sequence -1,-3,-9,-27,....
a. -59,049
b. -177,147
c. 118,098
d. -19,683

Answers

Answer:

b. [tex]a_{12}=-177147[/tex]

Step-by-step explanation:

This is a geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

where n is the index in the sequence and x is the common scale factor.

In the given sequence here, the common factor is 3:

[tex]-3\div-1=3\\-9\div-3=3\\-27\div-9=3[/tex]

That's the factor, and we know the first term is -1, so you can write the equation for this sequence:

[tex]a_n=(-1)(3)^{n-1}[/tex]

Finally, plug in 12 for n and solve:

[tex]a_{12}=(-1)(3)^{12-1}\\a_{12}=(-1)(3)^{11}\\a_{12}=(-1)177147\\a_{12}=-177147[/tex]

52 as a product of prime factors.

Answers

Answer:

13 *2*2

13*2^2

Step-by-step explanation:

52 = 26*2

But 26 is not prime

52 = 13*2 *2

52 = 13 * 2^2

Step-by-step explanation:

hope it helped!! ..............

What is the graph of y=3/4x-1?

Answers

Answer:

Here is a screenshot of my graph.

Step-by-step explanation:

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Find the missing angles indicated by small letters in each of the diagram. ​

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Find the missing angles indicated by small letters in each of the diagram.