Answer:
Step-by-step explanation:
x - y = (6 - 5)(y - x) → False
(x - y) (6 - 5) = 1 → False
x- y = (1)(x - y) → True
x - y = 1 + (x - y) → No solution, False
x - y = (6 - 5)(x - y) → True
<u><em>Answer:</em></u>
∠7 = 95°
<u><em>Explanation:</em></u>
<u>1- getting the value of x:</u>
In the given figure, angle 1 and angle 4 are vertically opposite angles.
Therefore, they are equal in measurement
This means that:
3x + 10 = 4x - 15
4x - 3x = 10 + 15
x = 25
<u>2- getting the value of angle 4:</u>
We know that:
x = 25 and ∠4 is 4x-15
This means that:
∠4 = 4(25) - 15
∠4 = 85°
<u>3- getting the value of ∠6:</u>
From the given figure, we can see that ∠4 and ∠6 are supplement angles, this means that their summation is 180°.
We have calculated that ∠4 is 85°, therefore:
180 = ∠4 + ∠6
∠6 = 180 - ∠4
∠6 = 180 - 85
∠6 = 95°
<u>4- getting the value of angle 7:</u>
From the drawing, we can note that ∠6 and ∠7 are vertically opposite angles. This means that they are equal in measurements.
Therefore:
∠7 = ∠6 = 95°
Hope this helps :)
Volume=length times width times height
this should be easy
a.
the volume of a box is 2.5 times 1 times 1 or 2.5 cubic meters
b.
number of boxes times volume per box=volume of container
number of boxes=volumecontainer/volumebox
find volumecontianer
volumecontainer=5 times 2 times 3=30 cubic meters
number of boxes=30/2.5
number of boxes=12
12 boxes needed to fill container
c.
box
1m=100cm
1m by 1m by 2.5m convert so (times everybody by 100)
100cm by 100cm by 250cm
multiply
2,500,000 cubic centimeters
Answer:
There are total 12 outfit combinations.
Step-by-step explanation:
Number of hat are: 2
1 red hat and 1 black hat
Number of shirt are: 3
1 white shirt , 1 black shirt , 1 black-and-white striped shirt.
Number of pants are: 2
1 black and 1 blue
Now, the total number of combinations could be seen with the help of a tree diagram.
We observe that total 12 combinations are possible.
Answer:
Difference between Observational and Experimental Data
The data collected in the study is observational data.
Step-by-step explanation:
In an experimental study, the data collected is divided into two groups. One group is the control group. The other group is the treatment group (also known as the experimental group). Data is gathered about the groups in order to compare their different outcomes and to draw conclusions if there is any causality based on the two variables. With observational data, the researcher is interested in observing the variables to determine if there is any correlation.
