Answer:
u = 40° , v = 40° and x = 100°
Step-by-step explanation:
i) from the rule of triangle we know that the sum of all three angles = 180°
ii) 100° + 40° + y = 180°. Therefore y = 40°. where y is the angle adjacent to v.
iii) from theorem on parallel lines we can say that u = y =40°
iv) from the properties of parallel lines we get v = 40° as interior alternate angles are equal.
v) again from the properties of parallel lines we get u = 40°
vi) using the triangle property as in i) we can see that u + v + x =180° therefore 40° + 40° + x = 180°. Therefore x = 100°.
vii) Therefore u = 40° , v = 40° and x = 100°
Answer:
Step-by-step explanation:
Below is the rectangle in the attachment.
Current scale:
1 cm : 6 inches
If the dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 6 inches
Width = b × 6 inches
Using the same dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 12 inches
Width = b × 12 inches
Note that there is an enlargement of the rectangle to form the new rectangle. The length and width of new rectangle drawn will be 2 × the length and width of the rectangle seen below.
Answer:
The value of x component changes at a rate of
units per second
Step-by-step explanation:
We are given that 
Differentiating on both sides with respect to time we get

It is given that
Solving for
we get

Myself = 2 legs
King = 2 legs
Queen 5 x 2 = 10 legs
Total Big cats
= 5 queens x 5 rooms x 5 big cats = 125 big cats x 4 legs = 500 legs
Little cats
125 x 5 x 4 = 2500 legs
3014 legs
The first graph function has a constant additive rate of change of -1/4.
From the figure:
First of all when we talk about a rate of change that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.
In the first graph we can observe that the x variable increases and y - variable decrease.
rate of change = slope = -1/4
from first graph take any two points.
(2,1) and (-2,2)
slope = 2 - 1 / -2-2
= 1/-4
= -1/4
Learn more about the function here:
brainly.com/question/5975436
#SPJ4
Full question:
Is in the image uploaded.