Answer:
x = 21
Step-by-step explanation:
Vertical angles are congruent, this
3x - 30 = 2x - 9 ( subtract 2x from both sides )
x - 30 = - 9 ( add 30 to both sides )
x = 21
Answer:15/31
Step-by-step explanation: because there are 31 kids in all and 15 of them are boys so 15/31
Answer:
15.24 millimeters
Step-by-step explanation:
6 * 2.54 = 15.24 mm.
Answer:
The other factor of the polynomial is (5x -6)
Step-by-step explanation:
Here, we want to find the other factor of this binomial expression
To find the other factor, we simply proceed to divide the polynomial by the binomial
That would be;
(10x^2 + 18x - 36)/(2x + 6)
= 5x - 6
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°.