Answer:
3. The missing angle is 56°
4. x = 7
Step-by-step explanation:
3.
We know sum of 3 angles in a triangle is 180°.
Looking at the top triangle, we can figure out the third angle. Let third angle be x:
85 + 35 + x = 180
120 + x = 180
x = 180 - 120
x = 60
<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>
So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:
60 + 64 + y = 180
124 + y = 180
y = 180 - 124
y= 56
This is the missing angle.
4.
10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.
Thus we can write the equation:
(10x-5) = (8x+9)
10x-8x=9+5
2x=14
x=14/2
x=7
So x = 7
What is meant binary number?
Binary number system, in mathematics, positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system.
What is decimal in number system?
- A number system which uses digits from 0 to 9 to represent a number with base 10 is the decimal system number.
- The number is expressed in base-10 where each value is denoted by 0 or first nine positive integers.
- Each value in this number system has the place value of power 10.
Similarities between binary and decimal systems -
- Arithmetic operations can be carried out on numbers in both the binary ands decimal systems
- Values of each bit and digit in binary and decimal numbers respectively depends on how close they are to the decimal point
- Integer and fraction components are represented in both decimal and binary systems.
Learn more about decimal systems
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Answer:
6.5 miles
Step-by-step explanation:
If she travels 2 1/6 in 1/3 hours you would simply multiply by 3 because she would need to travel 2 1/6 miles three times in order for an hour to pass.
X-9^2
a number = x
decreased= subtracting
square of 9= 9^2
The answer is A because it can be put into the equation: y= 3x+10
