(Find m∠IGH) m∠IGH=

Given:

AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.

To find:

The [tex]m\angle CAB[/tex] and [tex]m\angle CAD[/tex].

Solution:

AD is diameter of the circle. So, the measure of arc AD is 180 degrees.

[tex]m(arcADC)=m(arcAD)+m(arcDC)[/tex]

[tex]228^\circ=180^\circ+m(arcDC)[/tex]

[tex]228^\circ-180^\circ+=m(arcDC)[/tex]

[tex]48^\circ+=m(arcDC)[/tex]

The measure inscribed angle is half of the corresponding subtended arc.

[tex]m\angle CAD=\dfrac{1}{2}\times m(arcDC)[/tex]

[tex]m\angle CAD=\dfrac{1}{2}\times 48^\circ[/tex]

[tex]m\angle CAD=24^\circ[/tex]

AB is the tangent. So, [tex]m\angle BAD=90^\circ[/tex] because radius is perpendicular on the tangent and the point of tangency.

[tex]m\angle BAD=m\angle CAB+m\angle CAD[/tex]

[tex]90^\circ=m\angle CAB+24^\circ[/tex]

[tex]90^\circ -24^\circ=m\angle CAB[/tex]

[tex]66^\circ=m\angle CAB[/tex]

Therefore, [tex]m\angle CAB=66^\circ[/tex] and [tex]m\angle CAD=24^\circ[/tex].

Answer:

Ty

Step-by-step explanation:

Answer:

38.92 dollars

Step-by-step explanation:

Answer:

they might be since they could be like 16 and if it was raised they couldn't drive any more

Answer:

Yes, there is a high chance that this sample is biased since our pool of participants is not random.

Step-by-step explanation:

The population from which the talk show host drew is not representative of the entire country's population. Being a part of the live studio audience, these viewers are not considered a random sample and may be influenced by the opinions of the talk show due to response bias, specifically a desire to please bias.

Answer:

2 words

Step-by-step explanation:

Scalene (D)

Obtuse-angled (E)

Answer:

(10,-2) x=10 y=-2

Step-by-step explanation: I used substitution

Answer:

Sundeep will arrive in Barcelona at 12pm

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

=> Factor.

When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a factor of the given expression.

[tex] \sf \: It's \: called \: a \: \boxed{\underline{\bf \: factor}}[/tex]

When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a [tex]\boxed{\underline{\bf \: factor}}[/tex]of the given expression.

Answer:

(6x²+13x+6) ÷ (2x+3) sq in

Step-by-step explanation:

Volume = base × height

6x³+13x²+6x = (2x²+3x)h

Divide both sides by (2x²+3x)

(6x³+13x²+6x) ÷ (2x²+3x) = (2x²+3x)h ÷(2x²+3x)

By Factorization

x(6x²+13x+6) ÷ x(2x+3) = h

h= (6x²+13x+6) ÷ (2x+3)

Therefore the height of the prism is (6x²+13x+6) ÷ (2x+3) sq in

Answer:

25%

Step-by-step explanation:

increase by = 150 - 120

=30

increase percent = 30/120 * 100%

=3000/120

=25 %

Answer:

25%

Step-by-step explanation:

Percentage increase=(new value-original value)/(original value) x 100%

Percentage increase=(150-120)/120 x 100%

Percentage increase=30/120 x 100%

Percentage increase=1/4 x 100%

Percentage increase=25%

Answer:

36 degrees

Step-by-step explanation:

Angles on a line equal 180

180-117=63

a=63

Angles in a triangle equal 180

180-(63+81)=36

b=36 degrees

Answer:

a=117(being straight line angle)

a=180-117

a=63ans

a+b+81=180(being the sum of the angle of triangle)

b+63+81=180

b+144=180

b=180-144

b=36ans

Answer:

(b) 360 degrees

Step-by-step explanation:

Required

The central angle

The central [tex]angle[/tex] of a circle is [tex]360^o[/tex]. This implies that the central [tex]angle[/tex]of the pie chart is also [tex]360^o[/tex], because a pie chart is always in [tex]form[/tex] of a [tex]circle.[/tex]

Answer:

A.{-2,3,1,5 } or D. {-2, -1, 0,5}

Answer: is b

Step-by-step explanation:

Answer:

The percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.

Step-by-step explanation:

To find the rate, or percent, for each of the following items, the following calculations must be performed:

1) Base 72; percentage 12 = 12/72 = 0.1666 x 100 = 16.6

2) Percentage 28; base 224 = 28/224 = 0.125 x 100 = 12.5

3) Base 20; percentage 40 = 40/20 = 2 x 100 = 200

4) Base 44; percentage 99 = 99/44 = 2.25 x 100 = 225

5) Percentage 126; base 8400 = 126/8400 = 0.015 x 100 = 1.5

Therefore, the percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.

Answer:

Step-by-step explanation:

Answer:

The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.

[tex]\longrightarrow{\blue{ C. \: 2 {x}^{2} + 4x - 30 = 0 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{6}{x} = \frac{2x + 4}{5} [/tex]

[tex] \: 6 \times 5 = x \: (2x + 4)[/tex]

➺ [tex] \: 30 = 2 {x}^{2} + 4x[/tex]

➺ [tex] \: 2 {x}^{2} + 4x - 30 = 0[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

what-

Step-by-step explanation:

Answer: 340

Step-by-step explanation: It would follow the basic volume formula w*l*h so filling in the values gets us (10)*(17)*(2) and multiplying them out gets us 340.

Answer:

hlw its jess

your answer is here

Step-by-step explanation:

hope it may help you

Answer: the root of 145 so b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Use the Pythagorean theorem:

a^2 + b^2 = c^2

9^2 + 8^2 = c^2

81 + 64 = c^2

144 = c^2

[tex]\sqrt{144}[/tex] = c

Remember, C is always the hypotenuse, or the longest side. A and B can be either base.

Answer:

I think it's C. cause I multipled 16 by 7

Answer:

2s/n-a=L

Step-by-step explanation:

So first we divide (n÷2) so it will be s/(n÷2) =a+L. Next we subtract L and get s/(n÷2)-a. That's not it yet, since 2 is being divided in the denominator, we have to reciprocal it meaning multiply, it to the top value. So it would 2s/n-a=L. But you can just leave it like that if you desire and your teacher doesn't mind.

Answer:

y=-2/7x-2

Step-by-step explanation:

Just move the 2x to the other side, then divide both sides by 7.

Given:

[tex]m=0.56x-0.25[/tex]

[tex]n=0.20x-0.03[/tex]

To find:

The sum of m and n.

Solution:

We have,

[tex]m=0.56x-0.25[/tex]

[tex]n=0.20x-0.03[/tex]

The sum of m and n is:

[tex]m+n=(0.56x-0.25)+(0.20x-0.03)[/tex]

Combining the like terms, we get

[tex]m+n=(0.56x+0.20x)+(-0.25-0.03)[/tex]

[tex]m+n=(0.76x)+(-0.28)[/tex]

[tex]m+n=0.76x-0.28[/tex]

Therefore, the sum of m and n is [tex]m+n=0.76x-0.28[/tex].

Answer:

x = 4.17

Step-by-step explanation:

We can use a ratio to solve

4.2 k                  2 k

---------------- = ---------------

8.76                     x

Using cross products

4.2 * x = 2 * 8.76

4.2x =17.52

Divide by 4.2

x=4.17

Answer:

2kg cost £4.18

Step-by-step explanation:

4.2 kg of oranges cost £8.76

:. 1 kg of orange cost £8.76/4.2 = £2.09

2kg cost 2 × £2.09 = £4.18

Answer:

b = [tex]\frac{2A}{h}[/tex]

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( isolate b by dividing both sides by h )

[tex]\frac{2A}{h}[/tex] = b

Answer:

[tex]13x+4y+12[/tex]

Step-by-step explanation:

Combine all the like terms & then solve:

[tex](4x+2x+7x)+(-5y+9y)+(4+6+2)[/tex]

[tex]13x+4y+12[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]4x - 5y + 2x + 4 + 6 + 9y +7 x + 2[/tex]

Combining like terms, we have

= [tex] \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)[/tex]

= [tex] \: 13x + 4y + 12[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]