Answer:
Concept: Mathematical Sequences
- Let An be 99 a double digit multiple
- The sequence is finite.
- Finite= restricted and not bounded to positive infinity
- By that logic the last possible digit is 999999999999999999999999999999999999999999999
m∠1 = 30° (by Vertical angle theorem)
m∠A = 80° (by Triangle sum theorem)
m∠D = 80° (by Triangle sum theorem)
The value of x is 7.5 and y is 9.
Solution:
∠ACB and ∠DCE are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
⇒ m∠DCE = m∠ACB
⇒ m∠1 = 30° (by Vertical angle theorem)
In triangle ACD,
Triangle sum property:
<em>Sum of the interior angles of the triangle = 180°</em>
⇒ m∠A + m∠C + m∠B = 180°
⇒ m∠A + 30° + 70° = 180°
⇒ m∠A + 100° = 180°
⇒ m∠A = 100° – 180°
⇒ m∠A = 80° (by Triangle sum theorem)
Similarly, m∠D = 80° (by Triangle sum theorem)
In ΔACD and ΔDCE,
All the angles are congruent, so ΔACD and ΔDCE are similar triangles.
<em>In similar triangle corresponding sides are in the same ratio.</em>
Do cross multiplication.
90 = 12x
7.5 = x
Now, to find y:
Do cross multiplication.
9y = 72
Divide by 9, we get
y = 8
Hence the value of x is 7.5 and y is 9.
Answer:
9e+15
thats the answer have a nice day or evening
Answer:
If I do not have power at my house I cannot charge my phone.
Step-by-step explanation:
This is a conditional statement so you can say anything you want as long as it makes sense. I don't know if you're a boy or girl so I'll put too statements. Boy: If I do not have power at my house I cannot play on my console with my friends. Girl: If I do not have power at my I cannot curl my hair for the dance tonight.
Hope this helps you!!!
Jesus was born in 4 BC (more or less) and live to be 33 years old, which means His death was around 29 AD (more or less). That was precisely, 1992 years ago