From the information in the diagram can you prove FTG is congruent to FGE

Answer:

6n + 12 = -60 - 35

-12              -12

6n = -107

Divide by 6 on both sides:

N = -17.8333333333  around -17

Step-by-step explanation:

We need to isolate the variable meaning keeping the variable by itself on the left side. In order to do that we must get rid of any constants or co-efficients.

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

= 6n + 12 = -95

= 6n = -95 - 12

= 6n = -107

= n = -107 / 6

= n = 17.83

Hope it helps!

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Answer:

2. 7 parts are not green. 3. There both equal amounts.

Step-by-step explanation:

Answer:

Orange:

1/4 ÷ 4 = 1/16

1/4 + 1/16 = 5/16

Blue:

1/16 + 1/5 = 21/80

Yellow:

1/4 + 1/16 = 5/16

Green:

1 - 1/5 = 4/5

1/16 + 4/5 = 69/80

__________________

1 - 69/80 = 11/80

__________________

5/16 - 21/80 = 1/20

Answer:

[tex]\displaystyle \cos (G)=\frac{36}{85}[/tex]

Step-by-step explanation:

Recall that cosine is the ratio of the adjacent side to the hypotenuse:

[tex]\displaystyle \cos(G)=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The hypotenuse is always the side opposite to the right angle. In this case, it is

85.

The adjacent side to G is 36.

Therefore:

[tex]\displaystyle \cos (G)=\frac{36}{85}[/tex]

For your other question, remember that in a right triangle, cosine is the ratio of the adjacent side to the hypotenuse.

As you know, the hypotenuse is always the longest side in a right triangle.

Therefore, the ratio of the adjacent side to the hypotenuse will never be greater than 1.

Since 85/77 is greater than 1, it is undefined.

The same applies to sine as well.

Answer:

Step-by-step explanation:

Answer:

-50+12y

Step-by-step explanation:

62+5y-112+7y

62-112+5y+7y

-50+5y+7y

-50+12y

Step-by-step explanation:

The sum of two rational numbers will always be a rational number.

Answer:

the third option

Step-by-step explanation:

u can see by the lines of each side of the triangles

ST=ML

SU=MN

TU=LN

so triangle TSU is congruent to triangle LMN

Step-by-step explanation:

1. 5+2+3=5+(2+3) 2. 9a is equivalent to 11a-2a 3. 7a + 04 - 2a is equivalent to 7a + -2a + 4 4. 8a-(8a-8) is equivalent or = to 8.

Answer:

Hello! answer: 30

Step-by-step explanation:

13 × 13 = 169

5 × 5 = 25

169 - 25 = 144

12 × 12 = 144 therefore 12 is the missing leg

so we will use this to find the area so...

12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!

Answer:

37

Step-by-step explanation:

The range is the largest number minus the smallest number

99 is the largest number

62 is the smallest number

99-62

37

The range is the difference between the largest number and the smallest number.

Largest number is 99

Smallest number is 62

Range = 99-62 = 37

The answer is C) 37

Answer: [tex]1\dfrac{3}{8}\ \text{inch}[/tex]

Step-by-step explanation:

Given

Rainfall in September is [tex]\frac{7}{8}[/tex] inch

Rainfall in October is [tex]2\frac{1}{4}[/tex] inch

Convert mixed fraction into fraction

[tex]\Rightarrow 2\dfrac{1}{4}=\dfrac{9}{4}\ \text{inch}[/tex]

Difference between the two gives that how much more rain fall in October compared to September

[tex]\Rightarrow \dfrac{9}{4}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{18-7}{8}\\\\\Rightarrow \dfrac{11}{8}\ \text{inch or}\\\\\Rightarrow 1\dfrac{3}{8}\ \text{inch}[/tex]

Answer:

B is divisible by 5

Step-by-step explanation:

5 divisibility rule is that the number has to end in 5 or 0. Only B ends in 0, so b is the answer.

Answer:

B)270

Step-by-step explanation:

Divisibilty rule for 5: A number is divisible by 5 if the last digit is 0 or 5

Answer:

161.63 tons

Step-by-step explanation:

Cement used per mile = total cement used / total miles

646.5 tons / 4 = 161.625 tons

161.63 tons to the nearest hundredth

the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero

the thousandth term is 5, so 1 would be added to 2

Answer:

C

Step-by-step explanation:

Corresponding parts of similar triangles are proportionate

Answer:

b the second 1

Step-by-step explanation:

Answer:

Hypotenuse (Third side) = 31.24

Step-by-step explanation:

20² + 24² = Hypotenuse²

400 + 576 = Hypotenuse²

976 = Hypotenuse²

[tex]\sqrt{976}[/tex] = Hypotenuse

31.24 = Hypotenuse

Therefore, the measure of the third side would be: 31.24

Hope this helps!

Answer: 3

Step-by-step explanation:

3x2=6

6+5=11

11 is smaller than 12

Answer:

991 is the correct answer

Answer:

The largest side is OP.

Step-by-step explanation:

ΔNOP, m∠N = 110° and m∠O = 38°

According to he property of the triangle, the sum of all the angles of the triangle is 180°,  

So,

m∠N +  m∠O + m∠P = 180°

110° + 38° + m∠P = 180°

m∠P  =  32°

The side opposite to the largest angle is largest.

Here the largest angle is m∠N  so the largest side is OP.

Answer:

y = 2x - 2

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - 2 / 4 - 2

4 / 2

=2

y = 2x + b

2 = 2(2) + b

2 = 4 + b

-2 = b

Answer:

Answer:

Solution given:

[tex](x_1,y_1)=(2,2)[/tex]

[tex](x_2,y_2)=(4,6)[/tex]

now

slope:[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{6-2}{4-2}=\frac{4}{2}[/tex]=2

Slope: 2

Answer:

96.29  mm^3

Step-by-step explanation:

Cylinder

V = pi r^2 h

V = 3.14 ( 2)^2 ( 5)

V = 3.14 *4*5

V =62.8 mm^3

Cone

V = 1/3 pi r^2 h

V = 1/3 (3.14) 2^2 ( 4)

V =1/3 (3.14) 4*4

V =16.746666666 mm^3

There are 2 cones so multiply by 2

Both cones = 33.493333333333 mm ^3

Add the cones and the cylinder together

62.8+33.493333333 =96.293333333

Rounding to the nearest hundredth

96.29  mm^3

Answer:

I did the other guy's answer, and... it was incorrect

the real answer is shown below

Answer:

perp. just switch from -2/5 to positive 5/2

Step-by-step explanation:

Answer:

m2 =5/2

Step-by-step explanation:

m1=-1/m2

m2=-1/m1

y=-2/5x-10

m1=-2/5

m2= -1/-2/5

m2=5/2

y=5/2x-10 ⊥ y=-2/5x-10

3x(7+10)=G+30

21x+30=G+30

-30 -30

---------------------

21x=G

Answer: G=21x

5x(3+H)=15+45

15x+5h=15+45

-5 -5

---------------------

15x+h=15+40

-15 -15

--------------------

x(h)=40

Answer:

Step-by-step explanation:

(3-[tex]\sqrt{2[/tex])(3+[tex]\sqrt{2[/tex])

=(3)^2-([tex]\sqrt{2[/tex] )^2

=9-2

=7

Answer:

Arc YX = 104°

Step-by-step explanation:

Arc YX + Arc YZ + Arc XZ = 360° (full circle = 360°)

Substitute

Arc YX + 110° + 146° = 360°

Arc YX + 256° = 360°

Arc YX = 360° - 256°

Arc YX = 104°

x = time goal

16% = .16

.16 x = 32

x = 32/.16 = ___________ minutes

Jesse' weekly reading time is an illustration of ratio and proportion.

Jesse' weekly reading time is 200 minutes

Represent the reading time with x.

16% of his weekly reading time is given as 32 minutes

This is represented using the following equation

[tex]16 \% \times x = 32[/tex]

Express 16% as decimal

[tex]0.16\times x = 32[/tex]

Divide both sides by 0.16

[tex]x = 32/0.16[/tex]

[tex]x = 200[/tex]

Hence, Jesse' weekly reading time is 200 minutes

Read more about proportions at:

https://brainly.com/question/1781657