The true statements are;
1) AB + BC = AC
Length of BC = |6 - 1|
2) ∠JMK = 50°
∠KML = 35°
<h3>How to Interpret Number Line intervals?</h3>
1) From the given number line interval, we can deduce the interpretation as follows;
AB + BC = AC
Length of BC = 5 units or |6 - 1|
Length of B = 3 Units
2) We can see that ∠JML is an angle triangle. Thus, ∠JML = 85°. Thus;
6x + 2 + 4x + 3 = 85
10x + 5 = 85
10x = 85 - 5
10x = 80
x = 80/10
x = 8°
Thus;
∠JMK = 6(8) + 2
∠JMK = 50°
∠KML = 85° - 50°
∠KML = 35°
Read more about Number Line Intervals at; brainly.com/question/27998235
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Answer:
x = -6
Step-by-step explanation:
let's call the number x.
"five less than"
[expression] - 5
"the quotient of a number and 3"
x/3
x/3 - 5
"is -7"
x/3 - 5 = -7
<em>add 5 to both sides of the equation</em>
x/3 - 5 + 5 = -7 + 5
x/3 = -2
<em>multiply both sides of the equation by 3</em>
x/3 * 3 = -2 * 3
x = -6
Answer:
a) 6 mins
b) 70km/h
c) t= 45
Step-by-step explanation:
a) The bus stops from t=10 to t=16 minutes since the distance the busvtravelled remained constant at 15km
Duration
= 16 -10
= 6 minutes
b) Average speed
= total distance ÷ total time
Total time
= 24min
= (24÷60) hr
= 0.4 h
Average speed
= 28 ÷0.4
= 70 km/h
c) Average speed= total distance/ total time
Average speed
= 80km/h
= (80÷60) km/min
= 1⅓ km/min
1⅓= 28 ÷(t -24)
<em>since</em><em> </em><em>duration</em><em> </em><em>for</em><em> </em><em>return</em><em> </em><em>journey</em><em> </em><em>is</em><em> </em><em>from</em><em> </em><em>t</em><em>=</em><em>2</em><em>4</em><em> </em><em>mins</em><em> </em><em>to</em><em> </em><em>t</em><em> </em><em>mins</em><em>.</em>
(t -24)= 28
t - 32= 28
t= 32 +28
t= 60
t= 
t= 45
*Here, I assume that this is a displacement- time graph, so the distance shown is the distance of the bus from the starting point because technically if it is a distance-time graph, the distance would still increase as the bus travels the 'return journey'.
Thus, distance is decreasing after t=24 and reaches zero at time= t mins so that is the return journey. (because when the bus returns back to starting point, displacement/ distance from starting point= 0km)
Answer:
y = 3x - 1
Step-by-step explanation: