There are 5 horses and 15 elephants in a circus. how to Simplify the ratio of horses to elephants.

Answer:

45+5x

Step-by-step explanation:

Answer:

62 degrees

Step-by-step explanation:

HJ is a line which means its 180 degrees if HIL is 118 degrees then LIJ is 62 degrees and due to the lines being parallel then MLN is also 62 degrees

So, we know that ∠HIL = 118, and we also know that a line is 180 degrees. This means that ∠HIL +∠JIL = 180. We can use simple arithmetic and substitution to find that 180-118= 62, so ∠JIL = 62.

We have another line, Line N, so we know that the line is equal to 180 as well! Because ∠JIL and ∠ILM are both on this line, ∠JIL +∠ILM = 180. ∠JIL = 62, so 180 - 62 = 118.

Lastly, Line N is still equal to 180, so ∠ILM + ∠MLN = 180. In this case, we have 180-118=62, so ∠MLN = 62.

Or, using theorems, there is an easier way to do this.

The corresponding angles theorem tells us that "If a transversal intersects two parallel lines, the corresponding angles are congruent." So, we can see that both ∠MLN and ∠JIL are corresponding so they are congruent. First, however, we need to find ∠JIL, and if we look at our work from above, we see that ∠JIL = 62. Since ∠JIL and ∠MLN are congruent, or the same, ∠MLN is also 62.

:)

Answer:

B.z.................

Answer:

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

D 18

Step-by-step explanation:

if you look 6 goes down to a 4 so it is resized by 1/3 and 21 resized by a third is 18

Answer:

n = 17.5

Step-by-step explanation:

4*17.5 = 70

70 - 5 = 65

115 + 65 = 180

Have a nice day!

Answer:

17.5

Step-by-step explanation:

115+(4n-5) are a linear pair.

115+(4n-5)= 180

minus 115

4n-5=65

plus 5

4n=70

divide by 4

n= 17.5

Answer:

72π

Step-by-step explanation:

Please see the attached image. r is the radius and h is the height.

The radius is half the diameter, so it is 6/2=3.

The height is given, 8.

Knowing the radius is 3 and the height is 8, all we need to do is plug it into the formula.

Volume=π3^2*8

=72π

or

≈226.19

Answer:

180

Step-by-step explanation:

Given:

A figure of a circle and inscribed quadrilateral JKLM.

[tex]m\angle M=47^\circ,\angle K=(7x+21)^\circ[/tex]

To find:

The value of x.

Solution:

The inscribed quadrilateral JKLM in the circle I is a cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles.

Angle M and angle K are opposite angles of a cyclic quadrilateral, it means they are supplementary angles and their sum is 180 degrees.

[tex]m\angle M+m\angle K=180^\circ[/tex]

[tex]47^\circ+(7x+21)^\circ=180^\circ[/tex]

[tex](7x+68)^\circ=180^\circ[/tex]

[tex](7x+68)=180[/tex]

Isolate the variable x.

[tex]7x=180-68[/tex]

[tex]7x=112[/tex]

[tex]x=\dfrac{112}{7}[/tex]

[tex]x=16[/tex]

Therefore, the value of x is 16.

Answer:

divide both sides by 2 (to isolate the equation in parenthesis)

subtract 3 from both sides (to isolate the variable x)

x=1

Step-by-step explanation:

if you need a better explanation just let me know!

Answer:

ange is 7

Step-by-step explanation:

Angle 5 plus angle 7 sum is 180 degrees because the are supplementary angles. Therefore, 85 degrees + unknown angle 7= 180. 180-85= 95 degrees, or the measurement of angle 7.

hope this was what you where asking for can u plz mark me brainlest

Answer:

Y=-9

W=9

Step-by-step explanation:

2y/6+3=0

-3=-3

6/1 *2y/6=-3*6/1

2y=-18

2y/2=-18/2

Y=-9

The rest of the work is in the pic

Answer:

125.2

Step-by-step explanation:

Answer:

m<1 = 140

Step-by-step explanation:

m<1 = 140 because of alternate interior angles

Answer:

12

Step-by-step explanation:

Answer:

Your answer would be C (8,15,17) and E (15, 20,25)

Step-by-step explanation:

:)

Answer:

47.3

Step-by-step explanation:

A triangles angles add up to 180 degrees

At 42.7 and 90 and you get 132.7

Subtract 132.7 from 180 and you get 47.3 degrees.

Answer:

A. 47.3°

Step-by-step explanation:

The sum of all the angles in a triangle equals 180°, so we need to subtract 42.7° and 90° from 180° to get ∠N.

180° - 90° - 42.7° = 47.3°

∠N = 47.3°

Answer:

She worked 12 hours for the week

Step-by-step explanation:

Given that :

Hours worked :

Mondays = 40 hours

Tuesdays = 8 hours

If 1/4 of regular hours was worked in a certain week, the number of hours worked that week can be calculated thus ;

1/4 (Monday hours + Tuesday hours)

1/4(40 + 8)

(1/4 * 40) + (1/4 * 8)

10 + 2

= 12 hours

Answer:

[tex]area = area \: of \: trapezium + area \: of \: semi - circle \\ but \: height = \sqrt{ {15}^{2} - {(31 - 22)}^{2} } = 12 \: cm \\ area = \frac{1}{2} h(a + b) + \frac{1}{2} \pi {r}^{2} \\ = ( \frac{1}{2} \times 12 \times (22 + 31)) + ( \frac{1}{2} \times \frac{22}{7} \times ( \frac{12}{2} ) {}^{2} ) \\ = 318 + 56.57 \\ = 374.6 \: {cm}^{2} [/tex]

Answer:

-36 since it says 36 below zero.

Step-by-step explanation:

Answer:

i got 10 in the end 10000 is a power of 10 so the lowest answer is 10

Step-by-step explanation:

Answer: A the additional fee per yoga class is 3.75

Answer:

900 square feet :)

Step-by-step explanation:

plz give brainliest

Answer:

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

My reasoning is that the sum of the numbers in the left is equal to the sum of the numbers in the right.

Therefore 6=2y+3

2y=6-3

2y=3

y=1.5 or 1and a half which is equivalent to 3/2