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Leya [2.2K]
3 years ago
10

I cant get this question

Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Answer:

is there a picture that i can see?

Step-by-step explanation:

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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
A 51-foot ladder is leaning up against a building . The top of the ladder reaches the wall at a height of 50 feet . How far is t
alexandr402 [8]
If 50^2 +b^2=51^2 then
     2500+b^2=2601
           b^2=100
              b=10
4 0
3 years ago
Read 2 more answers
Please Help! Solve the equation for x.
SOVA2 [1]

Answer:

A

Step-by-step explanation:

Given

\frac{1}{3} x - 8 = - 12 ( multiply through by 3 to clear the fraction )

x - 24 = - 36 ( add 24 to both sides )

x = - 12 → A

6 0
3 years ago
Henry and 28 classmates go to the roller skating rink . Each van can hold 11 students . If all of the vans are full except one h
Rudik [331]
You divide 29:11= 2 7/11
so you have 2 full vans and one with 7 students.
so the answer is 7
8 0
3 years ago
Read 2 more answers
Https://allmylinks.com/zeoathiras<br><br> I’m bored. Owo
Savatey [412]

Answer:

Yeah same here

Step-by-step explanation:

8 0
2 years ago
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