Answer: The numbers are 10 and 23
Step-by-step explanation:
Let the smaller number be x
And the larger number be y
Ist sentence;
1. The sum of two numbers is 33.
X + y= 33 .........eqn 1
2. second sentence
the larger number is 3 more than two times the smaller number.
Y = 3 +2x
Put y into eqn 1
X+ 3 +2x = 33
3x= 33- 3
3x= 30
X = 30/3
X= 10 and y= 3+ 2x
Y= 3+ 2(10)
Y = 3+ 20
Y= 23
Therefore the two numbers are 10 and 23
Answer:
1.2 x 10⁴
Step-by-step explanation:
12,000 has 2 places of other numbers before a spam of zeroes.
Take the numbers before zeroes and put a decimal to the left of the last digit.
Last digit is 2 so a decimal goes before 2
1.2
Count how many places the decimal moved: this number is your power of 10.
12000. --> 1.2000
It moved 4 places.
12,000 = 1.2 x 10⁴
I think they are perpendicular to each other
Answer:
The following measurements are:
(Option #4)
(Option #7)
(Option #5)
(Option #2)
Step-by-step explanation:
To begin, we can find the measure of 
by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
Next, we can find the measure of arc QT using the same theorem. So,
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of 
. Since the arc ST is part of the arc RST, and we know RS is 
, we can set up and solve this equation:
We can use the same idea to find RQ. We know that RQT is and QT is 
, so:
