Given:
The measure of ∠2 is twelve less than five times the measure of ∠1.
∠1 and ∠2 form a linear pair.
To find:
The measure of ∠2.
Solution:
Let measure of ∠1 be x.
The measure of ∠2 is twelve less than five times the measure of ∠1.
[tex]m\angle 2=(5(m\angle 1)-12)^\circ[/tex]
[tex]m\angle 2=(5x-12)^\circ[/tex]
∠1 and ∠2 form a linear pair. So,
[tex]m\angle 1+m\angle 2=180^\circ[/tex]
[tex]x^\circ+(5x-12)^\circ=180^\circ[/tex]
[tex]6x-12=180[/tex]
[tex]6x=180+12[/tex]
[tex]6x=192[/tex]
Divide both sides by 6.
[tex]x=32[/tex]
Now,
[tex]m\angle 2=(5(32)-12)^\circ[/tex]
[tex]m\angle 2=(160-12)^\circ[/tex]
[tex]m\angle 2=148^\circ[/tex]
Therefore, the measure of angle 2 is 148 degrees.
Answer:
148 is the final answer
Step-by-step explanation:
There are 4 consecutive integers that have a sum of 30. What is the greatest of these integers?
Answer:
9
Step-by-step explanation:
30÷2=15
15÷2=7
(6,7,8,9)
Two positive integers have a sum of 23 and a product of 126. Find the two numbers.
Answer:
SUBTRACT
Step-by-step explanation:
what are the next 2 numbers in the sequence?
Answer:
15.21
Step-by-step explanation:
hope that helps
Make a mapping diagram for the relation. {(-3, 1), (0, 6), (3, 2), (5, -1)} A. B. C. D.
Answer:
B
Step-by-step explanation:
The volume of the cube is 512 cubic inches. Find the side length of the cube.
Answer:
128
Step-by-step explanation:
512/4
Answer:
a = 8 cm, as cube root of 512 is 8. The side lengths (edges) are 8 cm.
Step-by-step explantation
8 cubic feet = 2 feet 512 cubic feet.
First you Multiply your length, width and height figures together, giving you a total in cubic inches (in3)Divide the total by 512 (as there are 512 cubic inches in a cubic foot) it equals to 8 meaning your answer is correct. I f not it wrong and I already look this this up its 8
PLEASE HELP URGENT DO NOT WASTE ANSWERS GEOMETRY WILL MARK THE BRAINLIEST
Answer:
B
Step-by-step explanation:
This is because to find the angle you must add up the other two angles.
Please help soon algebra 1 problem in screenshot
Step-by-step explanation:
(d - 8) / -2 = 12
d - 8 = 12 * (-2)
d - 8 = -24
d = -16.
Answer:
value of d is -16
mark this as brainliest ❤️
Find the center and radius of this
circle:
(x – 7)2+(y + 4)2= 49
Center = ([ ? 1,1])
Radius = [
[tex]\text{Hello there! :)}[/tex]
Answer:
[tex]\boxed{\text{Center at } (7, -4), \text{ Radius of } 7.}[/tex]
[tex]\text{Formula for a circle: } (x - h)^{2} + (y - k)^{2} = r^{2} \text{ Where:}[/tex]
[tex]h = \text{ x-coordinate of center}\\\\k = \text{ y-coordinate of center}\\\\r = \text{ radius}\\\\\text{Therefore:}[/tex]
[tex]\text{In the equation } (x - 7)^{2} + (y + 4)^{2} = 49:[/tex]
[tex]h = 7\\\\k = -4\\\\r = \sqrt[]{49} = 7 \\\\\text{So:}[/tex]
[tex]\text{Center at } (7, -4), \text{ Radius of } 7.[/tex]
Answer:
Center = (7, -4)
Radius = 7
Step-by-step explanation:
The general equation of a circle is:
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
where (h, k) is the center of the circle and r is the radius.
The equation given is in the form of the general equation of a circle. Knowing this, we will be able to find the center and radius by finding h, k, and r.
[tex](x-7)^{2}+(y+4)^{2}=49[/tex]
We can turn the 49 into 7² (√49 = 7, so 49 = 7²) and turn the equation into:
[tex](x-7)^{2}+(y+4)^{2}=7^{2}[/tex]
Now we can see that:
h = 7
k = -4
r = 7
So the center of the circle would be (7, -4) and the radius would be 7.
I hope you find my answer helpful.
please do this i do not understand u get a lot of points
The square root of ________________, like 4, 9, or 16, is a(n) real number.
Answer:
perfect squares
Explanation:
4, 9, 16 are all perfect squares. In math perfect square is an integer that is the square of an integer.
A rectangle has a perimeter of twenty units, what are the coordinates of the two vertices
Answer:
The coordinates of two of the vertices are (0, 0) , (6, 0).
Step-by-step explanation:
I have no idea how to explain this but I'm pretty sure this should be the answer.
What is a coefficient
Answer:
a coefficient is the number before a variable for example in 18x 18 is the coefficient or in 27y its 27
Step-by-step explanation:
Please I need help now with explanation Its due and am stuck 45 > 12t + 3(t -8) - 6
Answer:
5>t
Step-by-step explanation:
45 > 12t + 3(t -8) - 6 multiply 3 times t-8
1) 45 > 12t + 3t - 2 - 6 combine alike terms
2) 45 > 15t - 30 isolate the variable by adding 30
3) 75 > 15t divide by 15
4) 5 > t
can anyone solve this please it is urgent..??
Answer:
Step-by-step explanation:
Q4 NO 1
x-5+3x+x+65= 180 degrees
x+3x+x+65-5= 180 degrees
5x+60= 180 degrees
5x=180-60
5x= 120
Divide both sides by 5
x=24
Q4 NO 2
5y-20+y+200= 360 degrees
5y+y+200+20= 360 degrees
6y+220= 360 degrees
6y= 360-220
6y=180 degrees
Divide both sides by 6
y= 30 degrees
~~~~Inuola1234
x ÷ 4 =6 need to find x please help
Answer:
24 make the brainliest pls
When you graph a linear equation what will the graph always look like?
Answer:
the graph will be straight because linear graph is always straight
What is the probability of tossing a coin three times and getting heads
each time? *
Answer:
probability of tossing a coin 3 times and getting heads each time is 1/8
Step-by-step explanation:
A coin has 2 sides (heads and tails) therefore you have a 50% chance of getting either heads or tails for each toss. Therefore, the probability of getting heads for 1 toss is 1/2. Now, tossing it 3 times and getting heads each time essentially means you would have to do (1/2)×(1/2)×(1/2) which would give you 1/8 as the probability of tossing a coin 3 times and getting heads each time.
I NEED HELP PLEASE !!!!
Answer:
Step-by-step explanation:
2x + 3.5x + 15 = -1.5
5.5x + 15 = -1.5
5.5x = -16.5
x = -3
y = 3.5(-3) + 15
= -10.5 + 15
= 4.5
(-3, 4.5)
Ben has a number cube with sides numbered 1 through 6. He rolls the number once. What’s the probability of rolling an odd number?
What is the probability of rolling a standard die twice and getting
an odd
number, then 4?*
Answer:
the answer is 4/6 or 66.7% is the probability
what is the distance between ( 0,5 ) , ( -3,-4)
Answer:
The distance between the points (6,-4) and (0,5) = 10.82 units
Step-by-step explanation:
Distance formula
Length of a line segment with end points (x1, y1) and (x2, y2) is given by,
Distance = √[(x2 - x1)² + (y2 - y1)²]
To find the distance between given points
Here, (x1, y1) = (6, -4) and (x2, y2) = (0, 5)
Distance = √[(x2 - x1)² + (y2 - y1)²]
= √[(0 - 6)² + (5 - -4)²]
=√[(-6)² + (9)²]
= √[36 + 81]
= √[117
= 10.82
The distance between the points (6,-4) and (0,5) = 10.82 units
Hope this helps!!!!!!!!
10 points
4. An automatic dialing system can make 12 telephone calls in one minute. To the nearest minute,
how long will it take the system to make 504 calls?
42 minutes
8 minutes
50 minutes
12 minutes
what is 45% out of 44209
Answer:
1.01789228E-5
Step-by-step explanation:
hope this helped :)
Answer:
the answer would have to be: 19894.05
Marsha gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks cost the same amount.
What is the cost in dollars and cents for each pair of socks?
Be sure to use the correct place value.
Enter your answer by clicking the bubbles.
Answer:
$4.99
Step-by-step explanation:
Take twenty and subtract 5.03 from it, then divide by 3. You can use this equation, (20 - 5.03) /3.
Answer:
4.99$
Step-by-step explanation:
20 - 5.03 / 3 =4.99
Find the slope and reduce.
P=(-3, -4) Q=(5, -1)
?
Slope =
Enter
Answer:
Slope is 3/8
Step-by-step explanation:
( -1 + 4)/ (5 + 3)
3/ 8
Answer:3/8
Step-by-step explanation:
Simplify: (3x - 1) (x + 2x + 1)
Answer:
9x²-1
Step-by-step explanation:
[tex](3x - 1)(3x + 1) = 9 {x}^{2} - 1[/tex]
Answer:
Step-by-step explanation:
Graph for (3*x-1)*(x+2*x+1)
What is the most cool thing or place you ever been
Answer:
A library
Step-by-step explanation:
No explanation needed
Which is a perfect square? 20 21 24 25
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:[tex]\sqrt{20} = 4. 4= integer[/tex]
Alejandra viajó a Acapulco, su avión salió el segundo sábado de octubre y se quedó 29 días. ¿Qué día terminó su visita? Si se hubiera demorado 10 días más para retornar, ¿qué día viajaría?
Answer:
Primera pregunta: es el Jueves 21 de mayo
Segunda pregunta: Viajaría el 11 de abril
40 días en total si se cuenta desde el momento que tomo el vuelo.
Step-by-step explanation:
A wedding ring costs £15,000 work out the price after a 6% price increase
Answer:
£15,900
Step-by-step explanation:
6% of £15,00o is £900
Add these together for the increase
