Answer:
Step-by-step explanation:
AS we can see the lines are parallel so
2 ( 4x - 3) + 7(x + 3) = 180° ( being so - interior angles)
8x - 6° + 7x + 21° = 180°
15x + 15° = 180°
15x = 180° - 15°
15x = 165°
x = 165° / 15
Therefore x = 11°
Now
2 ( 4x - 3) = 2 ( 4 * 11° - 3°) = 2 ( 44 - 3)° = 2* 41 = 82°
7(x + 3 ) = 7 ( 11° + 3°) = 7 * 14 = 98°
The answer is going to be: answer B.
Hope this helps =D
Given that:
Area of triangle=23 cm²
Dilation factor= 6
It means that the area of the dilated triangle is 6²=36 times of the original.
Now area of dilated triangle, A'=36 x 23
A'= 828 cm²
Answer: Area of dilated triangle is 828 cm².
Answer:
Measure of angle 2 and angle 4 is 42°.
Step-by-step explanation:
From the figure attached,
m∠ABC = 42°
m(∠ABD) = 90°
m(∠ABD) = m(∠ABC) + m(∠DBC)
90° = 43° + m(∠DBC)
m(∠DBC) = 90 - 43 = 47°
Since ∠ABC ≅ ∠4 [Vertical angles]
m∠ABC = m∠4 = 42°
Since, m∠3 + m∠4 = 90° [Complimentary angles]
m∠3 + 42° = 90°
m∠3 = 90° - 42°
= 48°
Since, ∠5 ≅ ∠3 [Vertical angles]
m∠5 = m∠3 = 48°
m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]
m∠2 + 48° = 90°
m∠2 = 90 - 48 = 42°
m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]
48° + m∠4 = 90°
m∠4 = 90 - 48 = 42°
Therefore, ∠2 and ∠4 measure 42°.
Answer:
a₁₂ = - 4194304
Step-by-step explanation:
the nth term of a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = 
= - 4 , then
a₁₂ = 1 × 
= - 4194304
