Answer:
3/8
Step-by-step explanation:
-3/2 can change to -12/8
7/4 can change to 14/8
1/8 stays the same
-12/8 + 14/8 = 2/8 + 1/8 = 3/8
The value of angle Z is 30 degrees
<h3>How to determine the value of angle Z?</h3>
The given parameters are:
ABC is dilated to form XYZ
This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal
So, we have the following angle equations
A = X
B = Y
C = Z
Also, we have
A + B + C = 180
Substitute C = Z in A + B + C = 180
A + B + Z = 180
Substitute A = 45 and B = 105
So, we have:
45 + 105 + Z = 180
Evaluate the like terms
150 + Z = 180
Subtract 150 from both sides
Z = 30
Hence, the value of angle Z is 30 degrees
Read more about angles at:
brainly.com/question/25716982
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Hey!
This could be rewritten as:
2x + 1 + 5x
We can add like terms together:
7x + 1
Answer:
Solution given:
model A printers [a] prints=80books per day
model B printers [b] prints=55books per day
total no of printers =9
no of model A printers be x
and
no of model B printers be [9-x]
According to the question;
ax+(9-x)b=670 books
substituting value of a and b; we get
80x+(9-x)55=670
80x-55x+495=670
25x=670-495=175
x=
=7
So;
no of model A printers =x=<u>7</u>
no of model B printers =9-x=9-7=<u>2</u>
<u>is</u><u> </u><u>your</u><u> </u><u>answer</u><u>.</u>
Answer:
The center is (2,8)
Step-by-step explanation:
The equation of a circle is written as
(x-h)^2+ (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-2)^2+(y-8)^2=33
The center is (2,8) and the radius is sqrt(33)