find the missing the values of the 2 triangles

The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

Learn more about angles in triangles here: https://brainly.com/question/22262639

#SPJ1

Answer:

One hour

Step-by-step explanation:

48 miles in 48 minutes

X miles. In 60minutes

48/48 = x/60 (cross multiplication)

(48*60)/48 = 60 minutes

Answer:

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

first substitute letters for their numbers in parentesis

-5(-4)+(5)

20+5

25

Answer:

(8, 3)

Step-by-step explanation:

For a 270° rotation, the rule is that (x, y) turns into (y, -x)

In (-3, 8), -3 represents x and 8 represents y.

Our answer is then (y, -x), or (8, 3)

Answer:

\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.

Step-by-step explanation:

The midpoint of three points with the position vector 1/3(a + b + c) is given by:

P = (b + c - B - C) / 2 + (1/3)(b + c)

The point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

To find the point with the position vector 1/3(a+b+c), we can use the fact that the position vector of a point that divides a line segment in a given ratio can be found by taking the weighted average of the position vectors of the endpoints.

Given that D, E, and F are the midpoints of line segments BC, AC, and AB, respectively, we know that:

D = (B + C) / 2

E = (A + C) / 2

F = (A + B) / 2

To find the point with the position vector 1/3(a+b+c), we can substitute a = 3F - 2D - E into the equation:

1/3(a + b + c) = 1/3((3F - 2D - E) + b + c)

Expanding the equation further:

1/3(a + b + c) = 1/3(3F - 2D - E + b + c)

= (F - (2/3)D - (1/3)E) + (1/3)(b + c)

Therefore, the point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

Substituting the midpoints:

P = (A + B) / 2 - (2/3)((B + C) / 2) - (1/3)((A + C) / 2) + (1/3)(b + c)

= (A + B - 2B - 2C - A - C + b + c) / 2 + (1/3)(b + c)

= (b + c - B - C) / 2 + (1/3)(b + c)

Therefore, the midpoint of three points with the position vector 1/3(a + b + c) is given by:

P = (b + c - B - C) / 2 + (1/3)(b + c)

The point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

For such more questions on midpoint of three points.

https://brainly.com/question/18226052

#SPJ11

Answer:

2.3 years.

Step-by-step explanation:

Hope this helps! :D

By the way, Can I please have brainliest?

Answer:

\(\frac{9}{20}\)

Step-by-step explanation:

Answer:

7/40 So sorry if I'm wrong!

Step-by-step explanation:

Answer:

8x-24

Step-by-step explanation:

First you do:

8×x which is 8x

Then you do:

8×-3 which is -24

Then you put it into 1 expression:

8x-24

Answer:

8−24

Thank You!

answer/explanation:

hope this helps

Answer:

The choose C. 2

\(( \frac{4 ^{ \frac{5}{4} } \times 4^{ \frac{1}{4} } }{4 ^{ \frac{1}{2} } } )^{ \frac{1}{2} } = 2\)

Answer:

2

Step-by-step explanation:

inside the parenthesis is equivalent to 4^(5/4 + 1/4 - 1/2) = 4¹ = 4

√4 = 2

the answer to the equation 112+18*14/14-19 is 111.

How to solve the question?

To solve this equation, we need to follow the order of operations (also known as PEMDAS), which is as follows: parentheses, exponents, multiplication and division (performed left to right), and addition and subtraction (also performed left to right).

So let's break down the equation step by step:

18*14 = 252 (multiplication)

252/14 = 18 (division)

112+18 = 130 (addition)

130-19 = 111 (subtraction)

Therefore, the answer to the equation 112+18*14/14-19 is 111.

It's important to note that if we had performed the operations in a different order, we would have gotten a different answer. That's why following the order of operations is crucial in solving mathematical equations.

In general, it's important to have a good understanding of basic arithmetic and algebraic concepts to solve equations like this one. This includes knowing the order of operations, how to perform operations with fractions and decimals, and how to use variables and solve for unknowns. Practicing these skills regularly can help improve your problem-solving abilities in math and other subjects.

To know more about addition visit :-

https://brainly.com/question/25421984

#SPJ1

Answer:

x ≈ 28.7 ft

Step-by-step explanation:

Step 1: Define variables

Height (vertical leg of triangle) = 2 ft

∅ = 4°

We are trying to find the length of the hypotenuse x

Step 2: Use trig

sin∅ = opposite over hypotenuse

sin4° = 2/x

Step 3: Solve for x

xsin4° = 2

x = 2/sin4°

x = 28.6712

x ≈ 28.7 ft

Answer:

the Length of ramp is 28.7 feet.

Step-by-step explanation:

see attached image for clarity

give:

height (h) of clinic = 2 feet

angle of ramp = 4°

find:

Length (L) of ramp

using the formula : sin(Ф) =                height (h)                    

                                              Length of ramp (hypothenuse)

plugin values into the formula:

sin (4) =    2    

               L

L   =    2    

      sin(4)

L = 28.7 feet

therefore,

the Length of ramp is 28.7 feet.

yes the fraction of .70 is 7/10

Answer:

Yes

Step-by-step explanation:

0.70 = 7/10

Answer:

-22 ft.

Step-by-step explanation:

So we know that the diver descends (goes deeper) at a rate of 2 feet per second.

We also know that he/she is already at an elevation of -8 feet.

The first we need to do to solve this question is to find out the number of feet the diver descends in 7 seconds:

We do this by multiplying the amount of time by the number of feet (7 x 2)

as we all know 7 x 2 = 14 feet

So the diver dove deeper by 14 feet.

Now we have to add 14 and 8 to find the divers new elevation:

14 + 8 = -22 ft.

The divers' elevation after descending for 7 seconds is -22 ft.

plz mark me brainliest if correct :)

The diver's elevation after she descends for 7 seconds will be -22 ft.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

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

So we know that the diver descends (goes deeper) at a rate of 2 feet per second.

We also know that he/she is already at an elevation of -8 feet. The first we need to do to solve this question is to find out the number of feet the diver descends in 7 seconds:

We do this by multiplying the amount of time by the number of feet (7 x 2)

As we all know 7 x 2 = 14 feet. So the diver dove deeper by 14 feet. Now we have to add 14 and 8 to find the diver's new elevation:

14 + 8 = -22 ft.

Therefore, the diver's elevation after she descends for 7 seconds will be -22 ft.

To know more about an expression follow

https://brainly.com/question/25808192

#SPJ2

The answer is C)

The car travels 63 mph(Miles Per Hours).

252/4 = 63

378/6 = 63

504/8 = 63

630/10 = 63

Hope Helps you

The rate of change of traveling of the car is 63 miles every 1 hour.

A

Distance = 252 miles

Time = 4 hours

= 252 / 4

= 63 miles per hour

B

Distance = 378 miles

Time = 6 hours

= 378 / 6

= 63 miles per hour

C

Distance = 504 miles

Time = 8 hours

=504 / 8

= 63 miles per hour

D

Distance = 630 miles

Time = 10 hours

= 630/10

= 63 miles per hour

Therefore, the rate of change of traveling of the car is 63 miles every 1 hour

Learn more about rate of change:

https://brainly.com/question/8728504

If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.

Let x represent the estimated number of fish in the lake

Hence,

x /10 = 7/2

Cross multiply

2x = 10 × 7

2x = 70

Divide both side by 2x

x =70/2

x = 35 fish

Therefore 35 is the number of fish.

Learn more about estimated number here:https://brainly.com/question/28434103

#SPJ1

Answer:

0.21

Step-by-step explanation:

You subtract 7 from 7.21

Answer:

4/6

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

i think this is right     if not it would be 2

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

For more such questions on investment

https://brainly.com/question/29227456

#SPJ8

Note that his is solved using the principle of Combination, and there are 771, 891, 120 different ways to form the groups for the first division soccer league tournament in Mexico.

Let 's compute the number of ways to form the groups using combinations.

First group - 5 teams

C(18, 5) = 18! / (5! * (18-5)!) = 8568

Second group - 5 teams

C(13, 5) = 13! / (5! * (13-5)!) = 1,287

Third group - 4 teams

C(8, 4) = 8! / (4! * (8-4)!) = 70

Fourth group - 4 teams

C(4, 4) = 4! / (4! * (4-4)!) = 1

Now, applying the product rule

Total ways =  8568 x 1,287 x 70 x 1 = 771891120

Therefore, there are 771, 891, 120  different ways to form the groups for the first division soccer league tournament in Mexico.

Learn more about Combination at:

https://brainly.com/question/28065038

#SPJ9

Translation

In how many ways is it possible to form the groups of the first division soccer league tournament? Let's remember that 18 teams participate in the first division of soccer in Mexico, and for the league tournament, two groups of five teams and two groups of 4 teams are formed. It is suggested that when solving it, the number of teams that have been considered for the first group be subtracted, then for the second group and so on for each group. Finally apply the product rule to find the different shapes.​

The graph for the inequality y > 2x – 1 is option C.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given inequality is y>2x-1

y greater than two times of x minus one.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The graph C represents the inequality y>2x-1.

The shading is outside the graph and the line is dashed because it is not having equal symbol.

Hence, the graph for the inequality y > 2x – 1 is option C.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

Answer:

20 for both

Step-by-step explanation:

hope this helps

Answer:

70°

Step-by-step explanation:

Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.

Sawyer is 9 yrs old and his sister is 3 yrs old

hope it really helps...

Answer:

c) 13%

Step-by-step explanation:

Given information,

→ The cost of a jacket increased from the price $75.00 to $84.75.

Now we have to,

→ find the % increase of cost of jacket.

Let's solve the problem,

→ ((84.75 - 75)/75) × 100

→ (9.75/75) × 100

→ 0.13 × 100

→ 13%

Hence, the answer is 13%.

Answer:

Step-by-step explanation:

lets approach this answer like:

for every 6 miles he runs 46.8

6:46.8

so now lets set it up as a propotion

6:46.8 = 13.1/x

now we cross multiply

6x=613.08

x = 102 mins

Answer:

1 is the answer

Step-by-step explanation:

just took the test.

The  value of f(g(1)) is 1.

Option (D) is correct.

It is given that f(x)=3\(\sqrt{x}\) +1.

To find value of f(g(1)).

A function is defined as a relation between a set of inputs having one output each.

The given f(x)=3\(\sqrt{x}\) +1

at g(1)=0

f(g(1))=3\(\sqrt{0}\) +1

f(g(1))=1

So, the value of f(g(1)) is 1.

Learn more about function here:

https://brainly.com/question/20205255

#SPJ5