find the unknown size of angle​

Find The Unknown Size Of Angle

Answers

Answer 1

Answer:

x = 60

2x = 120

2x + 30 = 150

2x - 30 = 90

Step-by-step explanation:

2x + 2x - 30 + 2x + 30 = 360

2x + 2x + 2x + 30 - 30 = 360

6x + 0 = 360

6x = 360

x = 360 / 6

x = 60

2x

= 2 x 60

= 120

2x + 30

= 120 + 30

= 150

2x - 30

= 120 - 30

= 90


Related Questions

On a spinner I have a 0.1% chance of getting a 5. How many times do I need to spin to get 5?

Answers

Answer:

[tex]\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}[/tex]

1000 times

Step-by-step explanation:

Answer:

0.1% = 1 spin then

100% = ( 100×1) ÷0.1 = 1000

we are using 100% because its a sure bet it will happen but not logically

the answer is 1000

if U= π(r+h), find r when U =16/1/2 and h = 2/3/4

π = 3/1/7​

Answers

Answer:

r = 2.5

Step-by-step explanation:

U= π(r+h)

Where,

U = 16 1/2

h = 2 3/4

π = 3 1/7​

U= π(r+h)

16 1/2 = 3 1/7(r + 2 3/4)

33/2 = 22/7(r + 11/4)

33/2 = 22/7r + (22/7 * 11/4)

33/2 = 22/7r + 242/28

33/2 - 242/28 = 22/7r

(462-242) / 28 = 22/7r

220/28 = 22/7r

r = 220/28 ÷ 22/7

= 220/28 × 7/22

= (220 * 7) / (28 * 22)

= 1540/616

= 2.5

r = 2.5

f(x)=square root 2x and g(x)=square root 50x find (f/g)(x)

Answers

Answer:

1/5

Step-by-step explanation:

(f/g)(x) = f(x)/g(x) = sqrt(2x)/sqrt(50x) = 1/5

Franklin used the polynomial expression x(x−3)(x+4) to model the volume of a rectangular prism. What is the length of the shortest side of this prism? A x B x−3 C x2−3x D x3+x2−12x

Answers

Answer:

[tex]x - 3[/tex]

Step-by-step explanation:

Given

[tex]Volume = x(x - 3)(x + 4)[/tex]

Required

The shortest side

The volume of a rectangular prism is:

[tex]Volume = Length * Width * Height[/tex]

By comparison, we have:

[tex]Length = x[/tex]

[tex]Width = x-3[/tex]

[tex]Height = x + 4[/tex]

In ascending order, the sides are:

[tex]Width = x-3[/tex]

[tex]Length = x[/tex]

[tex]Height = x + 4[/tex]

This is so because:

Irrespective of the value of x

x - 3 will be less than x

x + 4 will be more than x

Hence, the shortest length is:

[tex]Width = x-3[/tex]

Answer:

b

Step-by-step explanation:

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
This is a triangle. side a has a length of 6 yards. side b has a length of 10 yards. side c has a length of 14 yards. The altitude to side c has a length of X yards. what is x

Answers

Answer:

3.71 yd

Step-by-step explanation:

Heron's formula:

area = 0.25 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))

so h = 0.5 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c)) / c

a = 6

b = 10

c = 14

a+b+c = 30

-a+b+c = 18

a-b+c = 10

a+b-c = 2

x = h = 0.5×sqrt(30×18×10×2)/14 = sqrt(30×18×10×2)/28 =

= sqrt(10800)/28 = sqrt(400×9×3)/28 =

= 20×3×sqrt(3)/28 = 60×sqrt(3)/28 = 15×sqrt(3)/7 =

= 3.711537 yd

Which Venn Diagram is NOT correct?

Answers

i need ur help to escape the police men because the only reason i stole his pickles was because i was going through this thing where all i wanted to do was eat PICKLES and my mom wouldn’t buy any. ANSWER IS LETTER B

Father is four times the age of his daughter. If after 5 years, he would be 3 times of daughter's age, then further after 5 years, how many times he would be of his daughter's age?

Answers

Answer:

The father is 40 years old, and his daughter is 10 years old.

Step-by-step explanation:

Given that a father is four times the age of his daughter, and after 5 years, he would be 3 times of daughter's age, then further after 5 years, to determine how many times he would be of his daughter's age, the following calculation must be done:

F = 4D

F + 5 = 3D

F = 40

D = 10

40 + 5 = 3 x (10 + 5)

45 = 45

Therefore, the father is 40 years old, and his daughter is 10 years old.

Solve the mean for the data set. (4,11,25,1,17,34,11,30)
A. 12
B. 14.5
C. 16.6
D. 18.9

Answers

Answer:

The mean is C. 16.6

Step-by-step explanation:

the mean is the average, to find the average add all the numbers together and divide by the amount of numbers

4+11+25+1+17+34+11+30=133

133/8 = 16.6

Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice.

A 3-column table with 8 rows. The first column is labeled day 1 lap times (seconds) with entries 83, 92, 91, 89, 94, 93, 88, 84. The second column is labeled day 2 lap times (seconds) with entries 87, 90, 92, 91, 92, 95, 90, 85. The third column is labeled day 3 lap times (seconds) with entries 85, 86, 91, 93, 91, 89, 88, 84.

Which histogram represents Blanca’s lap times for the three days of practice?

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 5 laps were 88 to 90 seconds. 5 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 3 laps were 94 to 96 seconds. 1 lap was 96 to 98 seconds.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 4 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 1 lap was 96 to 98 laps.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 4 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.

Answers

Answer:

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

Step-by-step explanation:

The given table is presented as follows;

[tex]\begin{array}{ccc}Day \ 1 \ lap \ times \ (seconds)&Day \ 2 \ lap \ times \ (seconds)&Day \ 3 \ lap \ times \ (seconds)\\83&87&85\\92&90&86\\91&92&91\\89&91&93\\94&92&91\\93&95&89\\88&90&88\\84&85&84\end{array}[/tex]The number of laps in the range 82 to 84 seconds = 1

The number of laps in the range 84 to 86 seconds = 4

The number of laps in the range 86 to 88 seconds = 2

The number of laps in the range 88 to 90 seconds = 4

The number of laps in the range 90 to 92 seconds = 6

The number of laps in the range 92 to 94 seconds = 5

The number of laps in the range 94 to 96 seconds = 2

The number of laps in the range 96 to 98 seconds = 0

Therefore, the histogram that represents Blanca's lap times for the three days of practice is described as follows;

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

Answer: A.

Step-by-step explanation: On Edge!

HELPPPPPPPP MEEEEE PLEASEEEE

Answers

Step-by-step explanation:

a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.

given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.

that means for ACDF that the sides DC and FA are equally long.

DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.

based on the SAS criteria this confirms that DF is congruent to AC.

the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.

so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have

360 = 4×angle

angle = 90 degree.

so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle

What is the value of x in the equation 4(2x + 14) = 0?
A. 9
B. 7
C. -7
D. -9

Answers

Answer:

-7

Step-by-step explanation:

2(2x+14)=0

2x+14=0

2x=-14

x=-14/2

x=-7

Answered by GAUTHMATH

I need help to find the missing side of this right triangle

Answers

Answer:

[tex]\sqrt{136}[/tex]

Step-by-step explanation:

Formula for Pythagorean theorem: [tex]a^{2} +b^{2} = c^{2}[/tex]

Plug in:

[tex]6^{2}+10^2=x^2[/tex]

Solve:

36 + 100 = [tex]x^{2}[/tex]

136 = [tex]x^{2}[/tex]

[tex]\sqrt{136}[/tex] = x

The answer is [tex]\sqrt{136}[/tex].

Hope this helped.

Which of the following models the rising population of a city with 8,000 residents when the annual growth rate is 4%?

Answers

Answer:

P = 8000[tex](1 + .04)^{t}[/tex]   where t is the number of years

Step-by-step explanation:

The legs of a right triangle are x + 1 and x + 4. What is the area of the triangle?

Answers

Answer:

(x^2 + 5x + 4) : 2

Step-by-step explanation:

If (x/3)-1 is twice as large as (x/4)-3, what is the value of x?

Answers

Answer:

30

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

The equation modelling the statement is

[tex]\frac{x}{3}[/tex] - 1 = 2 ( [tex]\frac{x}{4}[/tex] - 3 ) ← distribute parenthesis by 2

[tex]\frac{x}{3}[/tex] - 1 = [tex]\frac{x}{2}[/tex] - 6 ( multiply through by 6 to clear the fractions )

2x - 6 = 3x - 36 ( subtract 2x from both sides )

- 6 = x - 36 ( add 36 to both sides )

30 = x

WHO CAN HELP ME WITH THIS QUESTION​

Answers

Answer:

No

Step-by-step explanation:

These two triangles aren't similar. The left triangle angle measures are 30,60,90. The left triangle measure is 35,55,90.

The side lengths aren't proportional as well. These triangles not similar.

Answer: I'm not sure but

similar : no

similarity statement: it's not similar because the corresponding angle of the two triangle are different

scale factor : 8/4 = 2 ( so, triangle ABC is 2 times the size of triangle LMN)

Step-by-step explanation:

Helpppp pleaseeee !!!!!!

Answers

Answer:

149 inches squared

Step-by-step explanation:

top rectangle: 25 * 7 = 175

second rectangle: 8 * (25 - 17) = 8^2 = 64

triangle in bottom right: 1/2 * (13 - 8) * (15 - 11) = 10

175 + 64 + 10 = 149 sq in

hopefully got this right!

Combine these radicals.
-3/81 + 16
-23
0 0 0
-11
-3797
-3.713
Need answers please

Answers

Step-by-step explanation:

-23 is the answer

√18=9

√16=4

-3×9+4= -23

Answer:

-23 is right on edg

Step-by-step explanation:

In this truss bridge, AAOB ABDC. AO=5 meters, BD=10 meters, AB=5 meters. What is the length of BC? A. 5 m B. 8 m C. 10 m D. 15 m

Answers

Consider [tex]\Delta AOB\cong \Delta BDC[/tex].

Given:

[tex]\Delta AOB\cong \Delta BDC, AO=5\ m,BD=10\ m, AB=5\ m.[/tex]

To find:

The length of BC.

Solution:

We have,

[tex]\Delta AOB\cong \Delta BDC[/tex]

We know that the corresponding parts of congruent triangles are congruent (CPCTC).

[tex]AB=BC[/tex]                   (CPCTC)

[tex]5\ m=BC[/tex]

The length of BC is 5 m. Therefore, the correct option is A.

3. PLEASE HELP ME
Solve the equation using square roots.

x2 + 10 = 9

A. 1

B. ±√1

C. no real number solutions

D. –1

Answers

Answer:

C. no real number solutions

Step-by-step explanation:

Subtract 10 from both sides.

Since the square of a number, x, equals a negative number, -1, the answer cannot be a real number because the square of a real number is always non-negative. Therefore, there is no real number solution to this equation.

Answer: B. no real number solutions

no real number solutions

Anyone help please I need it

Answers

Answer:

[tex]-10+i\sqrt{2}[/tex]

Step-by-step explanation:

One is given the following expression:

[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]

In order to simplify and solve this problem, one must keep the following points in mind: the square root function ([tex]\sqrt{}[/tex]) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: ([tex]\sqrt{-1}=i[/tex]). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]

[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]

Take factors from out of under the radical:

[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]

[tex]2-7i\sqrt{2}-12+8i\sqrt{2}[/tex]

Simplify,

[tex]-10+i\sqrt{2}[/tex]

Find the volume of a sphere with a diameter of 15 cm

Answers

Answer:

V= 562.5 pi cm^3 or approximately 1766.25 cm^3

Step-by-step explanation:

If the diameter is 15, the radius is d/2 = 15/2 = 7.5

The volume of a sphere is

V = 4/3 pi r^3

V = 4/3 ( pi ) (7.5) ^3

V= 562.5 pi

If we use the approximation of 3.14 for pi

V = 1766.25 cm^3

A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer ?

Answers

Answer: Its B i just took the test

Step-by-step explanation:

work out the area of a semicircle take pi to be 3.142 11cm

Answers

Answer:

if the diameter is 11, them the answer is 47.52275cm

find H.C.F OF 4x²y and xy²​

Answers

Answer:

xy

Step-by-step explanation:

The HCF is known as the highest common factor. To find the HCF of two values, we have to take the greatest number that fits into all of their factors.

To start, we can list each value's factors.

For 4x²y, this can also be written as 4*x²*y = 4*x*x*y. In multiplication, we can take the factors of each value that is multiplied. Therefore, we can start with the factors of 4 and then go to the factors of x² and so on. Our factor list is thus 1,2,4,x,x²,y

Similarly, for xy² = x*y*y, our factors are x, y, and y²

The common factors for each of these are x and y. Assuming all values are positive and greater than 1, the x*y will be greater than either x or y. Therefore, the highest common factor would be x*y = xy

Find the value of x. Round to the nearest tenth.

Answers

Answer:

x=5.9

Step-by-step explanation:

tan(26)=x/12. x=12*tan(26)=5.9

There are 7 blue counters, 3 green counters and 1 red counter in a bag.
There are no other counters in the bag.
Hubert takes at random 2 counters from the bag.
Work out the probability that both counters are blue.

Answers

Answer:

21/55

Step-by-step explanation:

7 blue counters, 3 green counters and 1 red counter  = 11 counters

1st counter

P(blue)= blue / total = 7/11

Now there are only 10 counters

6 blue counters, 3 green counters and 1 red counter  = 10 counters

2nd counter

P(blue)= blue / total = 6/10 = 3/5

P(blue blue) = 7/11 * 3/5 = 21/55

factorize: xy-3x - 5y + 15

Answers

Answer:

Step-by-step explanation:

xy-3x-5y+15

x(y-3)-5(y-3)

(y-3)(x-5)

Can someone help me please

Answers

Answer:

=2⁵it's option B 2⁵(B) 2⁵ is the right option

HELP! I'LL GIVE BRAINLIEST ! ! ! ! ! ! ! !

Select all of the quadrants that the parabola whose equation is y = √x - 4 (principal square root) occupies.
a. IV b. III c. II d. I

Answers

Quadrants I and IV

When we graph y^2 = x - 4, we see that it is on the x axis, and goes up into Quadrant I, and down into Quadrant IV

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