Answer:
ASA
Step-by-step explanation:
The triangles are already given 1 congruent corresponding angle and 1 congruent corresponding side. However, there are vertical angles at the point where the triangles intersect, meaning that they are congruent.
So now you have 2 congruent corresponding angles. But they're in the order of Angle-Side-Angle (ASA).
Answer:
<h2>33.2Km</h2>
Step-by-step explanation:
<h3>Time used for journey = </h3>
13 : 24 - 11 : 32 = 1 : 92
1 : 92 = 1 hour 92 minutes
1 hour 92 minutes = 2 hours 32 minutes
<h3>changing 32 minutes to hours</h3>
1 h = 60 min
x = 32 min
x= 32 /60
x= 8/15 hours
<h3>Adding the 2hours to 8/15 hours</h3>
8/15 h + 2 h = 38 / 15
<h3>Using formula for distance</h3>
Distance = Speed × Time
Distance = 85km / h × 38 /15 h
Distance = 33.15 km
To 1DP = 33.2
answer
10
step-by-step explanation
the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7
substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)
sin(x) = cos(y)
sin(2k + 3) = cos(6k + 7)
we know that sin(x) = cos(90 -x)
sin(2k + 3)
= cos(90 - (2k + 3) )
= cos(90 - 2k - 3)
= cos(87 - 2k)
substitute this into the equation sin(2k + 3) = cos(6k + 7)
sin(2k + 3) = cos(6k + 7)
cos(87 - 2k) = cos(6k + 7)
87 - 2k = 6k +7
80 = 8k
k = 10
Answer:
10 + (2 x 3)^2 / 4 x (1/2) ^3
First do the parentheses
2 x 3 = 6
1 / 2 = 0.5
We are left with
10 + 6^2 /4 x 0.5^3
Do exponents
6 x 6 = 36
0.5 x 0.5 x 0.5 = 0.125
10 + 36 / 4 x 0.125
Divide by 4 and multiply by 0.125
36 / 4 = 9
9 x 0.125 = 1.125
We are left with
10 + 1.125 = 11.125
The answer is 11.125
Step-by-step explanation:
Answer: 5-6i
The rule is that if f(x) has real number coefficients, then a root of x = a+bi pairs up with its conjugate pair of x = a - bi. In this case, a = 5 and b = 6.
