Answer:1/25 or 0.04
Step-by-step explanation: How I Got This Answer Was i did 77 divided by 31 and got 2 then brought down the 15 and then brought down the 5 to make 155 and the i did 155 divided by 31 and got 5 31 times 5 = 155 when you simplify the answer it comes up to 1/25.
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
I think it's the first choice. T and F = F. hope this helps :D
Answer:
The width of the room is 17.25 feet
Step-by-step explanation:
2(15.75+W)=66
Divide both sides by 2: 15.75+W=33
Subtract 15.75 from both sides: W=33-15.75=17.25
Hope this helps!
Answer:
- d. Missing x:11 Missing y:19
Step-by-step explanation:
<u>It can be determined that the function is:</u>
<u>So missing x is:</u>
- 18 = 0.5x + 12.5 ⇒ 0.5x = 5.5 ⇒ x = 11
<u>Missing y is:</u>
<u>Missing numbers are:</u>
Correct choice is d.