Answer:
3 tens and 9 ones
Step-by-step explanation:
Answer:
3 tens and 9 ones
Step-by-step explanation:
3 tens= 30
9 ones = 9
30+9=39
True by the angle angle side theorem.
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
Answer:
Option A is correct.
Yes, it is true that the triangles shown are congruent.
Step-by-step explanation:
Labelled the diagram as shown below in the attachment:
In triangle ABC and triangle PQR
[Angle]
[Angle]
units [Side]
AAS(Angle-Angle-Side) postulates states that the two angles and the non- included side of one triangle are congruent to the two angles and the non-included side of the other triangle., then the triangles are congruent.
Then, by AAS
Therefore, the given triangles shown must be congruent.
Answer:
The new volume is 1.63 L
Step-by-step explanation:
A tire pump has a volume of 1.5 L, while the temperature is 5 °C When the temperature changes to 30 °C, the volume will change as well.
The pressure remains constant.
Since the pressure is constant we can use the following formula:
V1/T1 = V2/T2
V1 = the initial volume = 1.5L
T1 = the initial temperature = 5 °C = 273.15 + 5 = 278.15 K
V2 = the final volume = TO BE DETERMINED
T2 = the final temperature = 30 °C = 273.15 + 30 = 303.15 K
1.5L/ 278.15 Kelvin = V2/303.15 K
V2 = (1.50L * 303.15 Kelvin) / 278.15 Kelvin = 1.63 L
When the temperature increased from 5°C to 30°C, the volume will change to 1.63 L
b.write the equation in slope intercept form.
c.what is the setup fee?
The setup fee for the cable service can be found by creating an equation using the given point and solving for the y-intercept. This y-intercept, in this context, represents the setup fee.
Firstly, we understand that the cost per month for the premium cable is $39.95. Considering this cost as a rate, we can say that the total monthly cost can be calculated by multiplying the number of months with the rate per month. The setup fee is a fixed cost, and thus it doesn't change with the number of months.
To find this setup fee, we need to find the y-intercept. In this situation, the y-intercept, denoted usually as b in the slope-intercept form equation y = mx + b, is the setup fee.
So let's solve it step-by-step:
So, the setup fee is found out by subtracting from the total cost of 6 months, the cost of the cable service for these 6 months.
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