5. Classify the triangle by its angles and sides. 6. What is the measure of C?​

Answer:

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Step-by-step explanation:

A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:

Angle E

[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]

[tex]E \approx 34.093^{\circ}[/tex]

Angle F

[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]

[tex]F \approx 106.068^{\circ}[/tex]

Angle G

[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]

[tex]G \approx 39.838^{\circ}[/tex]

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Answer: Third option

Step-by-step explanation:

The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that

Answer:

N = 27

Step-by-step explanation:

The total value would be 90 , as it is a right triangle . Starting from the aforementioned number and subtracting it by the given values above shall reward you with the correct answer .

90 - ( 6 + 3 ) = 81

81 / 3 = 27

ALSO GIVE ME BRAINLIEST PLEASE :)

Answer:

i think 27??

Step-by-step explanation:

n+6 +90+2!+3=180

5. complementary angles = 90°

90 - 40 = 50

50°

6. supplementary angles = 180°

180 - 40 = 140

140°

5) complimentary angles = 90

If one is 40 then the other is = 90-40= 50

6) Supplementary angles = 180

If one is 40 then the other is = 180 - 40 = 140

Hope u understand

Please mark as the brainliest

Thank You

Answer:

x → +∞, y → +∞

x → -∞, y → -∞

Step-by-step explanation:

The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.

Answer:

4

Step-by-step explanation:

lol ur kidding . of not u should work really hard :)

Answer:

dependent & changes by a constant rate

Step-by-step explanation:

dependent because it involves something that involves something else

Answer:

10

Step-by-step explanation:

Substitute 1 in place of x and the result is -4.

Again substitute 3 in place of x and the result is 6.

Change=6-(-4)=10

Answer:

B97.60

Step-by-step explanation:

I got b bc if u add all the number up u get that answer.

Answer:

The probability of spinning red is [tex]\frac{1}{3}[/tex], the probability of spinning a 1 is [tex]\frac{1}{6}[/tex], the probability of spinning an odd number is [tex]\frac{1}{2}[/tex], and the probability of spinning a 9 is 0.

Step-by-step explanation:

Since there are a total of 6 possible outcomes, you can use this in the following questions. There are 2 red tiles, so the probability of spinning red is [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex]. Since there are only one 1 tile, the probability of spinning a 1 is [tex]\frac{1}{6}[/tex]. Since there are three odd numbers, the probability of spinning an odd number is [tex]\frac{1}{2}[/tex]. Since there are no 9 in the spinner, the probability of spinning a 9 is 0 or never.

Answer:

Joey has $257 dollars after 6 months.

Step-by-step explanation:

6*$15.50 = $93

$350 - $93 = $257

Have a nice day! :-)

Answer:

he has 257 in his bank account

Step-by-step explanation:

[tex]15.5 \times 6 = 93[/tex]

[tex]350 - 93 = 257[/tex]

Answer:

I think the title is missing from the graph

Answer:

Y-intercept maybe? since the given function doesn't have a point where x = 0

Or it could also be the x and y-axis are not labeled

I'm so sorry if this is wrong but i hope this helps!

Answer:

$137.50

Step-by-step explanation:

Simples interest = amount deposited x time x interest rate

2500 x 0.055 x 1 = 137.50

Answer:m

Step-by-step explanation:

Answer:

a. n (table)     : 1  2  3  4  5  6

  s (students):4  6  8 10 12 14

b. Arithmetric, since it is adding and corresponding with the numbers

d. 32

not sure about c though. hope this helped.

Answer:

see, to find the next number, you need to add three to the last one

for example, the 3 was added to 2, so we have five here

5+3=8

8+3=11

and ....

so the next ten numbers are:

8, 11, 14, 17,20,23,26,29,32,35

I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it

Answer:

it's +3 each time

Step-by-step explanation:

the formula for the nth term of an arithmetic progression is

[tex]a _{n} = d \times n + a _{1} - d[/tex]

Answer:

b.area of one triangular faces =9m²

Answer:

x=5

Step-by-step explanation:

We need to find the value of x the given equation: 3x-2=x+8

the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side

here's the equation:

3x-2=x+8

first, add 2 to both sides

3x-2=x+8

   +2   +2

___________

3x=x+10 (2 goes away on the left side, as -2+2=0)

now, subtract x from both sides

3x=x+10

-x   -x

______

2x=10 (x goes away on the right side, as x-x=0)

we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)

divide both sides by 2

x=5 (because 2x/2=1x, or x. 10/2=5).

therefore, the value of x is 5

Hope this helps!

Answer:

Step-by-step explanation:

Solution:

Given dimensions of the rectangular sheet

Length = 28 cm

Breadth =22 cm

If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.

So Height of the cylinder (h)= 28 cm

Circumference of the base of a cylinder

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]

Answer:

k = 42

Step-by-step explanation:

This is a complementary angle, meaning that the angles formed equal 90 degrees. We know it is complementary because the angle is shown was a tiny square, a sign that it is 90 degrees. Thus, the two angles (k+1) and 47 added together must equal 90. So, we can write an equation:

(k+1) + 47 = 90

k + 1 = 43

k = 42.

Answer:

The value of x is 28°

Step-by-step explanation:

2x + 1 and 33° together forms 90° angle.

So, we need to find the angle at the 2x + 1.

--> 90° - 33°

= 57°

So, 2x + 1 gives 57°.

So, to find x :-

2x + 1 = 57°

2x = 57 - 1

2x = 56

x = [tex]\frac{56}{2}[/tex]

x = 28

Answer:

11

Step-by-step explanation:

5+6

Answer:

2ft

Step-by-step explanation:

The width of the box is 2 ft.

Here,

Volume of box = 16 ft^3

Length of box = 2 ft

Height of box = 4 ft

We have to find the width of box.

What is Volume of box?

The volume of box is defined as, the multiply of length, width, height.

Now,

Volume of box = 16 ft^3

Length of box = 2 ft

Height of box = 4 ft

Since, Volume of box = Length x width x height

Let width of box is x ft.

Volume of box = 2 * x * 4

16 = 8x

x = 2

Hence, The width of the box is 2 ft.

Learn more about the volume visit:

https://brainly.com/question/15102472

#SPJ2

Answer:

90 km

Step-by-step explanation:

Step-by-step explanation:

[tex]\huge\mathcal\blue{here's \: your \: solution} \\ \\ x = 2y - 14 \: \: \: (given) \\ \\ equation \: = 5x - 7y = - 43 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 5(2y - 14) - 7y = - 43 \\ \\ 10y - 70 - 7y = - 43 \\ \\ 3y - 70 = - 43 \\ \\ 3y = + 70 - 43 \\ \\ 3y = 27 \\ \\ y = 27 \div 3 \\ \\ y = 9 \\ \\ now \: put \: the \: value \: of \: y \: in \: equation \\ \\ x = (9 \times 2) - 14 \\ \\ x = 18 - 14 \\ \\ x = 4 \\ \\ \huge\mathfrak\red{hope \: it \: helps..}[/tex]

Answer:

10√2

Step-by-step explanation:

5√2³ = 5√8 = 5√(2 x 4) = (2 x 5)√2 = 10√2

Answer:

area of the square=12×12

=144 cm²

area of the circle (radius=12/2=6 cm

πr²

3.142×6²

=113.112 cm²

area of the square-area of the circle

144. -113.112

30.888 cm²

Area of the shaded region=30.888/4

=7.722 cm²

Answer: The ans is always c

Step-by-step explanation: