Answer:
Step-by-step explanation:
1. HI // KL , J is midpoint of HL 1. Given
2. ∠IHJ ≅ ∠JLK 2. Alternate interior angles are congruent
3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles
4. HJ ≅ JL 4. Given
5. ΔHIJ ≅ ΔLKJ 5. A S A congruent
(Angle Side Angle)
X=<span><span><span><span>−4/</span>3</span>y</span>+<span><span>−8/</span><span>3
and
</span></span></span>x=<span><span><span><span>−4/</span>3</span>y</span>+<span>10/<span>9</span></span></span>
Answer:
Barbara's speed in clear weather is and in the thunderstorm is .
Step-by-step explanation:
Let be the speed and be the time Barbara drives in clear weather, and let be the speed and be the time she drives in the thunderstorm.
Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,
(1).
Also,
(2).
(3). ,
and
(4).
From equations (2) and (3) we get:
putting these in equation (4) we get:
and substituting for from equation (1) we get:
This equation can be rewritten as
which has solutions
We take the first solution because it gives a positive value for
.
Thus, Barbara's speed in clear weather is and in the thunderstorm is .
Answer:
24 eight-digit code.
Step-by-step explanation:
Frequency : 0 : 4
2 : 2
4 : 2
In total there are Eight (8) numbers and 3 frequent number ( which are 0, 2, 4 )
∴ 8 × 3 = 24.