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4 years ago

What is the measure of ∠ABC ?

Mathematics

2 answers:

PtichkaEL [24]4 years ago

7 0

Answer:

m∠ACB = 32°

Step-by-step explanation:

It is given in the question that AC is tangent on a circle at A.

m∠ACB = 58° then we have to tell the measurement of ∠ABC.

In ΔABC, ∠BAC = 90° (since radius of a circle is always ⊥ to the tangent drawn)

Therefore in ΔABC

∠ABC + ∠BAC + ∠ACB = 180°

∠ACB + 90 + 58 = 180

∠ACB = 180 - (90 + 58) = 180 - 148 = 32°

Finally m∠ ACB = 32° is the answer.

il63 [147K]4 years ago

5 0

I think the answer is 32 degrees but i am not 100% sure

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To celebrate 25 years in business, the furniture store is having a 25% off sale on all their furniture. Estimate the new price b

ICE Princess25 [194]

Answer:

Step-by-step explanation:

159.39(1-25/100)

159.39(100-25)/100

159.39(75)/100

159.39(0.75)

$119.54

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3 years ago

Find the volume of each question in the picture:

Kisachek [45]

Answer:

21.V=1746.1

22.V=1922.7

23.V=54.4

Step-by-step explanation:

V=h*w*l V=pir^2*h

V=12*8*14 . V=pi*4^2*8

V=1344 . V=402.1

V1+V2=1344+402.1=1746.1

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V=pi*6^2*13 V=2/3*pi*6^3

V=pi*36*13 V=2/3*pi*216

V=1470.3 V=452.4

V1+V2=1470.3+452.4=1922.7

V=1/3pi*r^2*h V=1/3pi*r^2*h

V=1/3pi*2^2*6 V=1/3pi*2^2*7

V=8pi V=28/3pi

V=25.1 . V=29.3

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8 0

3 years ago

Transformation can you help ?

Lemur [1.5K]

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8 0

3 years ago

Form quadratic functions given the following information:

nignag [31]

Answer:

$f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)$

$f(x)=-\frac{4}{7}(x^2-6x+7)$

Step-by-step explanation:

we have

f(3+√2 )=f(3− √2 )=0

x1=3+√2 and x2=3−√2 are the roots or x-intercepts of the quadratic equation

The quadratic equation in factored form is equal to

$f(x)=a(x-x1)(x-x2)$

substitute

$f(x)=a(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))$

Find the value of the coefficient a

Remember that

f(1)=−8

For x=-1 -----> f(x)=-8

substitute

$-8=a(-1-(3+\sqrt{2}))(-1-(3-\sqrt{2}))$

solve for a

$-8=a(-4-\sqrt{2}))(-4+\sqrt{2}))$

apply difference of squares

$-8=a(14)$

$a=-\frac{4}{7}$

therefore

$f(x)=-\frac{4}{7}(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))$

$f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)$

simplify

Applying distributive property

$f(x)=-\frac{4}{7}(x^2+\sqrt{2}x-3x-\sqrt{2}x-2+3\sqrt{2}-3x-3\sqrt{2}+9)$

$f(x)=-\frac{4}{7}(x^2-6x+7)$

5 0

4 years ago

{3x+y=-3 write your response below with work {x=-y+3 x= y=

dalvyx [7]

Answer:

x = -3

y = 6

Step-by-step explanation:

3x + y = -3

x = -y + 3

3x + y = -3

3(-y + 3) + y = -3

-3y + 9 + y = -3

-3y + y + 9 = -3

-2y + 9 = -3

-2y = -3 - 9

-2y = -12

y = -12/-2

y = 6

x = -y + 3

x = -6 + 3

x = -3

6 0

3 years ago