Using the definition of vertical angles, the value of z is: 15.
<h3>Vertical Angles Pair</h3>
The two pairs of opposite angles formed when two straight lines intersect are called vertical angles, and are therefore congruent to each other.
Thus:
2z + 10 = 40
2z = 40 - 10
2z = 30
z = 30/2
z = 15
Therefore, using the definition of vertical angles, the value of z is: 15.
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Answer:
- FALSE
- TRUE
- TRUE
Step-by-step explanation:
<u>1.</u>
- Non-standard units can be used to measure volume
- Examples : m³, in³, cm³, mm³, L
<u>2.</u>
- The volume of a rectangular prism can be found by multiplying the length, width, and height
- <u>V = lwh</u>
<u />
<u>3.</u>
- If there are smaller units, then naturally more of the units will be used
- If there are larger units, then less of the units will be used
Answer:
Step-by-step explanation:
<h3>7) The lengths of the tangent from an external point to a circle are equal.</h3>
2x - 1 = x + 10
2x = x + 10 + 1
2x = x + 11
2x -x = 11
8) Radius : XC
Chord: CB
Diameter : AB
Name of the circle: X {a circle is named by its center}
Since the divisor is in the form (x + #) or (x - #), This can be done by synthetic division.
First put the polynomial ion descending order: x^2 - 7x + 15
Take the coefficients of the terms and follow these steps:
3 | 1 -7 15
3 -12
___________ Bring down the 1, multiply the 3 by the 1 and place under the
1 -4 3 -7, then add.
Multiply 3 by -4, place under the 15, then add.
The bottom row is our answer. Since the problem started with a second power, the answer will start with a first power.
The bottom row are the coefficients of the terms and the last number is the remainder.
x - 4 remainder 3 ALSO WRITTEN x - 4 + 3/(x -3)
