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Paraphin [41]
3 years ago
8

State when the following equations and inequalities will be true and when they will be false 38= 9k

Mathematics
1 answer:
Step2247 [10]3 years ago
3 0
The equation 38 = 9k will be true when k equals 38/9. (Do 38 divided by 9 to get k, k equals 38/9, which can't be simplified any more.)
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O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
andriy [413]

Answer

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

Given,

∠BCE=28°  ∠ACD=31°  &  line AB=AC .

According To the Question,

  • a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°

  • b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚

        thus , ∠ABC=76° .

  • c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,

Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°

Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)

∠DAB = 180° - 107° ⇔ 73°

& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°

Now, In Triangle ADC Sum of angles in a triangle is 180°

∠ADC = 180° - (31° + 45°)  ⇔  104˚

   

  • d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre  

For Diagram, Please Find in Attachment  

4 0
3 years ago
12
ruslelena [56]
I need more information to answer this question.
8 0
3 years ago
What’s the answer to 10a - 13a being factored
solmaris [256]

Answer:

a(10 - 13)

Step-by-step explanation:

The only common factor between these numbers is a, as 10 and 13 do not share factors (13 is prime). We can only factor out a.

7 0
3 years ago
If 1+9+8=1 then 2+8+9=x
Gwar [14]
Assuming this is some kind of modular question, maybe mod 17.

since 1+8+9=1, we can say that 8+9=0
therefore, 2+0=x, so x=2
6 0
3 years ago
To find the quotient of 8 divided 1/3 by<br><br> • 1/8<br> • 1/3<br> •3<br> •8
olga nikolaevna [1]

Answer:

24 is the answer

Step-by-step explanation:

Ok so we need to find the quotient 8 divided by \frac{1}{3}

so we have to do 8 divide \frac{1}{3} = 8/1/3 =8x3=24

dividing 8 by 1/3 by is equivalent to multiplying 8 by 3

6 0
2 years ago
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