Drag up the correct symbol to make the following relationships true.

Answer:

11). x = 25.8°

12). x = 67.3°

Step-by-step explanation:

11). By using sine rule in the given triangle,

   cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(x) = [tex]\frac{27}{30}[/tex]

   x = [tex]\text{cos}^{-1}(\frac{9}{10} )[/tex]

   x = 25.84

   x ≈ 25.8°

12). By applying tangent rule in the given triangle,

    tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

    tan(x) = [tex]\frac{43}{18}[/tex]

    x = [tex]\text{tan}^{-1}(\frac{43}{18} )[/tex]

    x = 67.29°

    x ≈ 67.3°  

Answer:

Step-by-step explanation:

i think it's D i have the same test today

Answer:

C cause it has to be 54 then the median is 58

Step-by-step explanation:

Answer:

Natalie walked for 4 minutes because 16 divided by 2 is 4

Answer:

8

Step-by-step explanation:

16/2=8

Well, there is one for you, the. there is your five friends which both recieve one. if you don't want to give one to yourself and just ur friends you divide 6 and 5 they all would get 1.2

Answer:

43

Step-by-step explanation:

Answer:

it woulb be 1.25

Answer:

6.66666667E-5

hope this helped a bit!

Answer:

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

9 multiplied by 2 equals 18.

Hope this helps :)

Answer:

3.

vertically opposite angles ,

= 30°

4. 50° +30°+2x = 180°

80°+2x=180°

2x=180°-80°

2x=100°

Answer:

pi

Step-by-step explanation:

to convert angles to radians you must multiply the angle measurement by the formula pi/180

180 x pi/180

the 180s cancel out and you are left with pi

Answer:

3.14159 Radian

Step-by-step explanation:

3.142rad × 180/π = 180°

Answer:

58cups

Step-by-step explanation:

Given the equation for the line as c = 2t - 89

If the temperature is 74 degrees, then we can find the number of cups at this temperature;

Substitute t = 74 unti the expression

x = 2(74) - 89

c = 147 - 89

c = 58cups

Hence the number of cups of lemonade is 58cups

Answer:

Step-by-step explanation:

5. angle FDE = 180-90-63 = 27°

 arc FE = 2×27 = 54°

6. arc GJ = 360-68-31-115 = 146°

 angle GHJ = 146/2 = 73°

7. angle GIJ = 146/2 = 73°

8. arc DAB = 2×101 = 202°

 arc BCD = 360°-202 = 158°

 angle A = 158/2 = 79°

 angle B = 360-79-110-68 = 112°

10. see picture

5) The sum of angle in the triangle DEF is 180 degrees

mFE = <D

Recall that <D+<E+<F = 180⁰

<D+63+90 = 180

<D = 180-153

<D = 27 degrees

Hence the measure of arc FE is 27degrees

6) For this circle geometry, we will use the theorem

The sum of Opposite side of a cyclic quadrilateral is 180 degrees.

A + C = 180

m<A + 101 = 180

m<A = 180-101

m<A = 79degrees

Similarly

B + D = 180

m<B + 68 = 180

m<B = 180-68

m<B = 112degrees

7) The sum of angle in a circle is 360, hence;

arcGJ+68+31+115 = 36p

arcGJ = 360 - 214

arcGJ = 146⁰

Since the angle at the centre is twice angle at the circumference, then;

<GHJ = 1/2 arcGJ

<GHJ = 1/2(146)

<GHJ = 73⁰

<GHJ = <GIJ = 73⁰ (angle in the same segment of the circle are equal)

8) Recall that the sum of Opposite side of a cyclic quadrilateral is 180 degrees.

P + R = 180

57 + <R = 180

m<R = 180-57

m<R = 123degrees

Similarly, m<Q+m<S = 180⁰

Since the triangle in a semi circle is a right angled triangle, hence m<Q = 90 degrees (triangle PQR is a right angled triangle)

m<S = 180 - 90

m<S = 90 degrees

Learn more here: brainly.com/questions/11325504

Answer: To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2y=10x

Divide both sides by 2.

y=5x

Now substitute this into the second equation.

Answer:

b. [tex]x^2/64 - 5y^2/36=1[/tex]

Step-by-step explanation: a p e x

Answer:

C. Shift the graph 5 units up.

Step-by-step explanation:

vertical translation 5 units up

Step-by-step explanation:

5/6×12..1/5 x 100cm(1m)

i think so dont hate me

Answer:

99/8

Step-by-step explanation:

Please refer to the attachment

Answer:

644 cm³

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)

✔️Surface area of upper cuboid = 2(LW + LH + WH)

L = 3

W = 3

H = 8

Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²

✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)

L = 12

W = 10

H = 7

Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²

✔️Base area of upper cuboid = L*W

L = 3

W = 3

Base area = 3*3 = 9 cm²

✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³

Answer:

n=82

m=98

e=98

Step-by-step explanation:

n is vertical to 82

180-82=m and e because they are suplementery angles

Answer:

∠n = 82°

∠m = 98°

∠n = 98°

Step-by-step explanation:

∠n = 82° because it is alternate to 82°

total circle = 360°

∠l =∠m

2∠m = 360° - 82° - 82° = 196°

∠m = 98°

∠n = 98°

Answer:

This is your answer

Answer:

x=42°

y=64°

z=68°

Step-by-step explanation:

Consider the triangle towards the right with 90° and 48° marked. The other angles must equal 42° (angles in a triangle add to 180, 42+48+90=180). This 42° angle is vertically opposite x, so x=42°.

The triangle that contains z also contains the angle 22° and 90° (because it is on a straight line with another 90° angle and the angles along a straight line add up to 180 (90+90=180)). Since the angles in a triangle add to 180, z=68°. (68+22+90=180)

The angles z, 48° and y lie along a straight line. Since the angles along a straight line equal 180 and since we know that z=68°, we can say y=64° (68+64+48=180)

Answer:

Solve for x: (use triangle sum theorem)

48+90+x=180

x = 42 (vertical angles)

Solve for y: (Find z first, then use triangle sum theorem)

68+48+z=180

y = 64

Solve for z: (triangle sum theorem)

22+90+z=180

z=68