Answer:
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Step-by-step explanation:
1+1 11 1122243rmkvjdmc
<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 :)
B (smallest two digit even number) = 10 <=== B
AB = 840
A = 840/B
A = 840/10
A = 84 <=== A
C - A = 816
C - 84 = 816
C = 816 + 84
C = 900 <===== C
Answer:
For the first one:
y = 2/3x + 1
For the second one:
y = -5x + 4
Step-by-step explanation:
As you may already know, in the y=mx+b equation format:
m = slope
b = y-intercept
On the graph, it already shows the y-intercept, so you can automatically find your b in the equation.
And, the easiest, most quick way to find the slope by using a graph is to calculate using rise/run. So, by doing that you can calculate the equation.
Then, you can just leave the variables y and x alone.
Hope this helped!!
Answer:
The area of the resulting two-dimensional cross-section is 12 cm².
Step-by-step explanation:
The area of the cross-section of the right rectangular prism, parallel to the base, is given by the area of a rectangle:
Where:
: is the area of the cross-section
: is the area of a rectangle
a: is the length of one side of the rectangle = 4 cm
b: is the length of the other side of the rectangle = 3 cm
Hence, the area of the cross-section is:
Therefore, the area of the resulting two-dimensional cross-section is 12 cm².
I hope it helps you!
