Answer:
x = 8
Step-by-step explanation:
Hi there!
We're given that OB is the angle bisector of angle AOC.
An angle bisector splits an angle into 2 equal halves. Therefore, angles AOB and BOC are equal.
We're given that angle AOB is 8x degrees and angle BOC is 16x-64 degrees.
Set up an equation:
[tex]8x=16x-64[/tex]
Combine like terms:
[tex]-8x=-64\\x=8[/tex]
Therefore, x = 8.
I hope this helps!
(a) It takes 32 pounds of seed to completely plant a 4-acre field. How many acres can be planted per pound of seed? Round to the nearest hundredth if necessary.
Answer:
32/4
= 8
So 8 pounds for one acre
1/8 = 0.125 acres can be filled with one pound
3. The difference of two-thirds of a number x and
6 is at least -24. Which inequality represents all
possible values for x?
The inequality that represents all possible values for x is x ≥ -27.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given statement can be written in terms of inequality as,
2/3x - 6 ≥ -24
=> 2/3x ≥ -24 + 6
=> 2/3x ≥ -18
=> x ≥ -27
Hence, the inequality expression for the given problem can be written as x ≥ -27.
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What is the slope of the line that passes through the points (−8,−1) and (−6,−2)? Write your answer in simplest form.
Answer:
m = -1/2
Step-by-step explanation:
Recall that slope = (change in y) / (change in x).
Going from (−8,−1) to (−6,−2), x increases by 2 (because -6 - (-8) = 2), and
y decreases by 1. Thus, the slope here is
m = (change in y) / (change in x) = (-1) / 2 = -1 / 2
m = -1/2
please show the work but thanks !!!
I really need help with this question :)
Answer:
here you go.
Step-by-step explanation:
The diagonal is the hypotenuse of a rectangular triangle.
So:
d2=l2+w2
132=169=(x+7)2+x2=x2+14x+49+x2→
2x2+14x−120=0→x2+7x−60=0
A simple quadratic equation resolving into:
(x+12)(x−5)=0→x=−12orx=5
Only the positive solution is useable so:
w=5andl=12
This is 8th-grade math please help
Can you pls help me??
Answer:
[tex] \sqrt{10} [/tex]
Step-by-step explanation:
use
a^2 +b^2=c^2
c² = a² + b²
c² = 3² + 1²
c² = 9 + 1
c² = 10
c = √10
10. Determine if the equation x - y = 1 defines y as a function of x.
Answer:
No.
Step-by-step explanation:
First solve for y:-
x - y^4 = 1
y^4 = x - 1
y = +/- (x - 1)^(1/4)
This is a one-to-many relation . For a given value of y there 2 values of x.
So this is NOT a function.
Put the in order 7/16 1/2 3/8 9/32 5/16 15/32 ??? Put from greatest to least
Help stuck on this question
Answer:
Find the slope of the original line and use the point-slope formula: y−y1=m(x−x1 )
to find the line parallel to -> y = 6/7 x −2.
A: y = 6/ 7x−7
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x-3)+2
A) infinite solutions
B) One
C) no solutions
Answer:
-7 = -7
a. infinite solution
(1.4,1.6);m=3.1 equation of the line in point slope form
Answer:
y-4=3.1(x-1)
or y-1.6=3.1(x-1.4)
Step-by-step explanation:
Answer:
y = 3.1x - 2.74
Step-by-step explanation:
y-intercept: 1.6 - (3.1)(1.4) = 1.6 - 4.34
= - 2.74
Find the equation of the line that goes
through the points:
(-1,4) and (-8,11)
See the picture above for the solution.
I Need Help Please
Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale on the map. (There are 2.54 centimeters in an inch.) A. 1 in to 1 my B. 1 cm to 1 km C. 1 in to 10 mi D. 1 ft to 100 mi E. 1 cm to 200 km F. 1 in to 100 mi G. 1 cm to 1000 km
Step-by-step explanation:
5 inches on the map correspond to 210 miles (or even a bit more) in reality.
we do know, the real length of the state is 213 miles.
and 8 inches to 410 (or a bit more) miles.
but, in fact, in reality, Kansas is indeed 410 miles long.
so, let's see first about the consistency of the scale factors (our ratios) in every direction.
5 inches / 210 miles = 1/42
8 inches / 410 miles = 4/205 = 1/51.25
so, in order to be a true map, both directions must have the same scale factor.
to fit the whole map on one page we must go with the smaller scale ratio : 1/51.25
so,
A with the ratio 1/1 is wrong.
B wrong.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
so, the scale ratio here is
1 cm / 1km = 1/2.54 / 1/1.6 = 1.6 / 2.54
still far off of the 1/51.25 ratio.
C with the ratio 1/10 is wrong.
D wrong
1 ft = 12 inches
the ratio is therefore
12/100 = 3/25 = 1/8.3333
still far off of the 1/51.25 ratio.
E would fit
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
200 km = 200/1.6
so, the scale ratio here is
1 cm / 200km = 1/2.54 / 200/1.6 = 1.6 / (2.54×200) =
= 1.6 / 508
still far off of the 1/51.25 ratio, but in the form of being much smaller. so it fits on the page.
F would fit.
the ratio is 1/100.
this is again far off of the 1/51.25 ratio, but also in the form of being much smaller, so it fits on the page.
G would fit.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
1000 km = 1000/1.6
so, the scale ratio here is
1 cm / 1000km = 1/2.54 / 1000/1.6 = 1.6 / (2.54×1000) =
= 1.6 / 2540
again far off of the 1/51.25 ratio, but also in the form of being much smaller. so it fits on the page.
how do i solve this??
Answer:
128º
Step-by-step explanation:
You just add the two angles together
<GFE=<KFE+<GFK
<GFE=100+28
<GFE=128
Using the quadratic formula, which of the following are the zeros of the quadratic equation below?
y=x²-x-5
Answer: The answer is the option A.
x=(5±)/4
Step-by-step explanation: The quadratic formula has the following form for a quadratic equation ax²+bx+c:
x=(-b±))/(2a)
We apply the quadratic formula and we obtain:
x=(-(-5)±))/(2(2))
x=(-(-5)±))/(4)
x=(-(-5)±))/(4)
Jose has 4 times as many baseball cards as his brother. Together they have 40 baseball cards. How many baseball cards does Jose's brother have?
Answer:
Ummm..... I would think 10??
Step-by-step explanation:
I don't really know tho.....
Answer:
10
Step-by-step explanation:
4x = 40
/4 /4
x = 10
The governor of Utah wants to know how long they have before the entire state is zombified. If there are 3.67 million people living in Utah (3,670,016 to be exact), how many days until the entire state is infected?
options:
19 days
2 years
11 days
52 days
Answer:
wait.
Step-by-step explanation:
what do u really mean by zombies
The movie theater sold 825 tickets to fill 3 theaters how many seats are in each theater
Answer:
275?
Step-by-step explanation:
I just divided it.. 825÷3
Answer:
The correct answer is 275 seats
Step-by-step explanation:
Since its 3 FULL theaters then we are gonna divide the number of tickets by the number of theaters which is 825÷3.
Do the math (or use a calculator) and your left with 275.
Hope this helps!
please answer i need help.
Given that AABC ADEF, find the length of side DF Show the equation and ALL algebra used to solve for the length of DE
Answer:
the length of side DF is 19
Step-by-step explanation:
you first need to find what x=
sides AB=DF AC=DE BC=FE
so we can say that 3x+1=19
3x+1=19
-1 -1
3x=18
÷ by 3
x=6
then DF os 2x+7
so 2(6)+7
12+7=19
What is the justification for each step in the solution of the equation?
5x−4/2=2x−1
Select from the drop-down menus to correctly justify each step.
5x−42=2x−1 Given
5x−4=2(2x−1) Choose...
5x−4=4x−2 Choose...
5x=4x+2 Addition or Subtraction Property of Equality
x=2 Choose...
Options
Addition or subtraction property of equality
Multiplication or division property of equality
Distributive property of equality
Combine like terms
The "/" Is for a fraction.
Answer:
5x-2=2x-1
5x-2x=-1+2
3x=1
3/3x=1/3
x=1/3 or 1.3333...
Help Pleasseeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
graph points (0,2) and (0.857,0)
Step-by-step explanation:
can i please have the brainliest
What is this answer?
Answer:
multiply
Step-by-step explanation:
just multiply all of them and then u will get your answer I hope this helped ❤
If the spinner shown is spun 40 times,predict the number of times the spinner would land on section A. Give the number of times only
Can y’all help me with this question
Answer:
I'm 100% sure it's 50.
Step-by-step explanation:
Helpppppp!!! I don’t understand this!
Answer:
from a to t
Step-by-step explanation:
a=64°
b=116°
c=116°
d=64°
e=108°
f=72°
g=108°
h=72°
i=108°
j=108°
k=72°
m=105°
n=79°
q=116°
s=75°
t=119°s
what is the answer to
an=3-2(n-1)
All numbers greater or equal to 1
Ray GI bisects ∠DGH so that m∠DGI is 3x-9 and m∠IGH is 2x + 21. Find the m< DGI.
Answer:
[tex]3x - 9 = 2x + 21 \\ 3x - 2x - 9 = 2x - 2x + 21 \\ x - 9 = 21 \\ x - 9 + 9 = 21 + 9 \\ x = 30[/tex]
m<DGI = 80°
[tex]3x - 9 = \\ 3(30) - 9 = \\ 90 - 9 = 81[/tex]
The measure of angle ∠DGI can be obtained by finding the solution of the equation as 81°.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
The ray GI bisects ∠DGH.
It implies that the new angles are equal in measurement.
⇒ m∠DGI = m∠IGH
⇒ 3x - 9 = 2x + 21
⇒ x = 30
Then, in order to calculate m∠DGI, plug x = 30 in 3x - 9 as,
3 × 30 - 9 = 81
Hence, the measure of angle ∠DGI is given as 81°.
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Only answer please please
Answer: D
Step-by-step explanation:
Answer:$22.50
Step-by-step explanation:
The three friends already paid the entrance fee. The question asks how much MORE will they pay for 5 MORE rides (8-3 rides). Since tickets are $1.50 each, and we have 3 people:
($1.50/ticket)*(5 tickets/person)*(3 persons) = $22.50 more.
[Note how the units cancel, leaving just $]
I need help plisss giving brainliest
Answer:
1) [tex]y=\frac{3}{2}x+8[/tex]
2)[tex]y=\frac{13}{11}x +\frac{12}{11}[/tex]
3)[tex]y=\frac{9}{7}x+1[/tex]
4)[tex]y=\frac{1}{3}x-2[/tex]
5)[tex]y=-\frac{6}{5}x-3[/tex]
6)[tex]y=4x-1[/tex]
7)[tex]y=\frac{11}{4}x-8[/tex]
8)[tex]y=\frac{11}{8}x+6[/tex]
Answer:
[tex]\sf 1) 3x-2y=-16[/tex]
subtract both sides by 3x:
[tex]\sf -2y=-16-3x[/tex]
[tex]\sf \cfrac{-2y}{-2} =\cfrac{3x-16}{-2}[/tex]
[tex]\boxed {\sf y=\frac{3}{2}x +8}[/tex]
________________
[tex]\sf 2) 13x-11y=-12[/tex]
Subtract 13x from both sides:
[tex]\sf 13x+11y-13x=-12-13x[/tex]
[tex]\sf \cfrac{-11y}{-11} =\cfrac{-12-13x}{-11-11}[/tex]
[tex]\boxed {\sf y=\cfrac{13}{11} \:x+\cfrac{12}{11} }[/tex]
___________________
[tex]\sf 3) 9x-7y=-7[/tex]
Subtract 9x from both sides:
[tex]\sf \cfrac{-7y}{-7} =\cfrac{9x-7}{-7}[/tex]
[tex]\boxed {\sf y=\cfrac{9}{7} \:x+1}[/tex]
___________________
[tex]\sf 4)x-3y=6[/tex]
Add 3y from both sides:
[tex]\sf x-3y+3y=6+3y[/tex]
[tex]\sf x=6+3y[/tex]
Subtract 6 from both sides:
[tex]\sf x-6=3y[/tex]
Divide both sides by 3:
[tex]\sf \cfrac{x}{3}-\cfrac{6}{3} =\cfrac{3y}{3}[/tex]
[tex]\sf \cfrac{1}{3} \:x-2=y[/tex]
[tex]\boxed {\sf y=\cfrac{1}{3} \:x-2}[/tex]
____________________
[tex]\sf 5) 6x+5y=-15[/tex]
Subtract 6x from both sides:
[tex]\sf \cfrac{5y}{5}=\cfrac{-6x-15}{5}[/tex]
[tex]\boxed {\sf y=-\cfrac{6}{5} \:x-3 }[/tex]
_____________________
[tex]\sf 6) 4x-y=1[/tex]
Subtract 4x from both sides:
[tex]\sf \cfrac{-y}{-1} =\cfrac{-4x+1}{-1}[/tex]
[tex]\boxed {\sf y=4x-1}[/tex]
_______________________
[tex]\sf 7)11x-4y=32[/tex]
Subtract 11x from both sides:
[tex]\sf \cfrac{-4y}{4} =\cfrac{-11x+32}{-4}[/tex]
[tex]\boxed {\sf y=\frac{11}{4} \:x-8}[/tex]
_______________________
[tex]\sf 8) 11x-8y=-48[/tex]
Subtract 11x from both sides:
[tex]\sf \cfrac{-8y}{-8} =\cfrac{11-48}{-8}[/tex]
[tex]\boxed {\sf y=\frac{11}{8} \:x+6}[/tex]
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