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!
guys pls help me!!!!!!
Answer:
[tex]x = 67[/tex]
Step-by-step explanation:
[tex]x = 67[/tex]
[tex]Alternate \:Intrerior \: Angles[/tex]
a wheel has diameter 84cm.During a journey the wheel make 800 complete revolutions. how many meter does it travel?
Answer:
2110.08 meters
Step-by-step explanation:
find the circumference of the wheel
Divide 84 by 2 to find the radius.
84/2=42
C=2πr
C=2(3.14)(42)
C=263.76 cm
263.76*800=211008cm
Divide by 100 to convert to meters
211008/100=2110.08
2110.08 Meters
Hope this helps!
5x= 20 word problem
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: 5x \: = \: 20[/tex]
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: \cancel\frac{20}{5} \\ [/tex]
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: 4[/tex]
[tex] \mapsto \rm \: 5x = 20[/tex]
[tex] \mapsto \rm \: x = \cancel\frac{20}{5} \\ [/tex]
[tex] \red \mapsto \ \boxed{ \rm \red { = 4}}[/tex]
Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)
Answer:
g(4) = 12
g(-5) = 48
Step-by-step explanation:
I will assume that you meant g(x)=x^2 - 3x + 8,
A) To find g(4), substitute 4 for each instance of 'x' in this function:
g(4) = (4)^2 - 3(4) + 8, or
g(4) = 16 - 12 + 8, or
g(4) = 12
Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48
g(-5) = 48
Answer:
A) 12
B) 18
Step-by-step explanation:
A) 4^2 - 3(4) + 8
16 - 12 + 8 = 12
B) -5^2 - 3(-5) + 8
25 + 15 + 8 = 48
How can you use a property to write a simplified equivalent
expression?
Answer:
For example, apply the distributive property to the expression 3 (2 + ) to produce the equivalent expression 6 + 3; apply the distributive property to the expression 24 + 18 to produce the equivalent expression 6 (4 + 3); apply properties of operations to + + to produce the equivalent expression 3.
Step-by-step explanation: hope this helps
how can 1/5 + (-4/5) be modeled on a number line ? complete the sentance. then move 4/5 in the ? direction
Answer:
negative direction
Step-by-step explanation:
A negative and a positive make a negative:
1/5 + (-4/5) = 1/5 - 4/5
Hope this helps!
help what is the answer to this'
Answer:
Your answer is x [tex]\geq[/tex] 77
Step-by-step explanation:
[tex]\frac{x}{7} \geq 8+3[/tex]
[tex]\frac{x}{7} \geq 11[/tex]
[tex]\frac{x}{7 } * 7 \geq 11*7[/tex]
[tex]x \geq 77[/tex]
Hope this helps!
Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece?
m = 72 – 15d
m = 90 – 6d
m = 101 – 21d
m = 108 – 3d
Answer:
m = -90 - 6d
Step-by-step explanation:
18 ÷ 3 = 6 { She needs to memorize six measures a day. }
m = 90 - 6d { She has memorized bd measures }
How would I solve this? I believe it's two step, am I correct?
Answer:
[tex]b=0.8[/tex]
Step-by-step explanation:
1) Subtract 2.7 from both sides.
[tex]-5.3-2.7=-\frac{b}{0.1}[/tex]
2) Simplify -5.3 - 2.7 to 8.
[tex]-8=-\frac{b}{0.1}[/tex]
3) Multiply both sides by 0.1.
[tex]-8[/tex] × [tex]0.1=-b[/tex]
4) Simplify - 8 × 0.1 to - 0.8.
[tex]-0.8=-b[/tex]
5) Multiply both sides by -1.
[tex]0.8=b[/tex]
6) Switch sides.
[tex]b=0.8[/tex]
Answer:
b=0.8
Step-by-step explanation:
[tex]\frac{b}{0.1} = 8\\b= (0.1)(8)\\b=0.8[/tex]
how much did it cost to transport the following:a) 1000 bags of maize each weighing 100 kg to a distance of 70 km if transportation costs $100 per 100 kg
Answer:
100000 $
Step-by-step explanation:
Multiply:
1000*10
100000 $
Twice the difference of a number squared and 7
Answer: 2(x^2-7)
Step-by-step explanation:
Use the graph to estimate the value of y when x=2.5
Answer:
I'm guessing: The value of y is 6.5
Step-by-step explanation:
Mark 2.5 on the x-axis between 2 and 3, then draw a line to meet the graph.
Or use the table , y=3x-1
y=3(2.5)-1
y=7.5-1
y=6.5
please mark BRAINLIEST...
Given PQ = 24
PS = 19
PR = 42
TQ = 10
m<PQR = 106°
m<QSR = 49°
m<PRS = 35°
find m<QRS, m<PQS, m<RPS and m<PSQ
The shape PQRS is a parallelogram
The measure of angle QRS is 70 degreesThe measure of angle PQS is 53 degreesThe measure of angle RPS is 35 degreesThe measure of angle PSQ is 53 degreesThe given parameters are:
[tex]\mathbf{\angle PQR = 106}[/tex]
[tex]\mathbf{\angle QSR = 49}[/tex]
[tex]\mathbf{\angle PRS = 35}[/tex]
(a) Find QRS
This is calculated as:
[tex]\mathbf{\angle QRS = 2 \times \angle PRS }[/tex]
So, we have:
[tex]\mathbf{\angle QRS = 2 \times 35}[/tex]
[tex]\mathbf{\angle QRS = 70}[/tex]
Hence, the measure of angle QRS is 70 degrees
(b) Find PQS
This is calculated as:
[tex]\mathbf{\angle PQS = \frac 12 \times \angle PQR }[/tex]
So, we have:
[tex]\mathbf{\angle PQS = \frac 12 \times 106}[/tex]
[tex]\mathbf{\angle PQS = 53}[/tex]
Hence, the measure of angle PQS is 53 degrees
(c) Find RPS
This is calculated as:
[tex]\mathbf{\angle RPS = \angle PRQ }[/tex]
Where:
[tex]\mathbf{\angle PRQ = \angle PRS = 35}[/tex]
So, we have:
[tex]\mathbf{\angle RPS = 35}[/tex]
Hence, the measure of angle RPS is 35 degrees
(d) Find PSQ
This is calculated as:
[tex]\mathbf{\angle PSQ =\frac 12 \times \angle PQR }[/tex]
Where:
[tex]\mathbf{\angle PSQ =\frac 12 \times \angle 106}[/tex]
So, we have:
[tex]\mathbf{\angle PSQ =53}[/tex]
Hence, the measure of angle PSQ is 53 degrees
Read more about angles in a parallelogram at:
https://brainly.com/question/12186483
solve 4n - 8 = 14n + 12
please help <3 ( will give brainliest )
Basically...
4n - 8 = 14n + 12
Simply collect like terms,
4n-14n=12+8
-10n=20
Divide both sides by -10
n= -2
Please mark BRAINLIEST.
Step-by-step explanation:
[tex]4n - 8 = 14n - 4n \ \\ - 8 - 4 = 14n - 4n \\ - 20 = 10n \\ - \frac{20}{10} = n \\ n = - 2[/tex]
Please help ! Geometry
The measurement of angle b is 128°
[tex]A(4,5) and B (3,4)\\[/tex]Find distance betweentwo points A(4,5) and B (3,4)
Answer:
√2
Step-by-step explanation:
given points are,
A = (4,5)
B = (3,4)
we know,
D = √(x_2 - x_1)² + (y_2 - y_1)²
→ √(3-4)² + (4-5)²
→ √(-1)² + (-1)²
→ √1 + 1
→ √2
therefore, distance between A and B is √2.
hope this answer helps you dear...take care and may u have a great day ahead!
Rylee is paid $32 for 8 hours of work. What is her hourly rate?
Answer:
$4 per hour
Step-by-step explanation:
$32 per 8 hours of work
We can just divide 32 by 8
32 / 8 = 4
So her hourly rate would be $4 per hour
we can check this
by $4 * 8 (hours) = $32 per 8 hours of work
Her hourly rate is $4 per hour
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
Which statement represents the biconditional statement of the conditional statements?
If an angle measures 90º, then the angle is right.
If an angle is right, then the angle measures 90º
1) An angle measures 90º if and only if the angle is right.
2) An angle does not measure 90º if and only if the angle is right.
3) An angle does not measure 90º if and only if the angle is not right.
4) An angle measures 90º if and only if the angle is not right.
Answer:
1
Step-by-step explanation:
It is the only one that makes sense!
(Apologies since this super late; I hope future students will find this helpful)
Answer:
An angle measures 90º if and only if the angle is right.
Step-by-step explanation:
See the image below :)
katie can mow at a constant speed rate of 4/5 lawns per hour
Answer:
y=4/5x+B
what is the whole question?
\frac { 3 ^ { p + 1 } - 3 ^ { p } } { 2 \times 3 ^ { p } } = 1
Answer:
Given equation:
[tex](3^{p+1} - 3^p) /(2 *3^p) = 1[/tex]Solving for p:
[tex]3^{p+1} - 3^p = 2 *3^p[/tex][tex]3*3^p - 3^p = 2 *3^p[/tex][tex]2 *3^p =2 *3^p[/tex]p - any real number
We can state the initial expression is correct for any value of p.
Answer:
True for all p
Step-by-step explanation:
Given equation:
[tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]
Multiply both sides by [tex]2 \times 3^p[/tex]:
[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]
Add [tex]3^p[/tex] to both sides:
[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]
[tex]\implies 3^{p+1}=3 \times 3^p[/tex]
Rewrite 3 as 3¹:
[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 3^{p+1}=3^{1+p}[/tex]
[tex]\implies 3^{p+1}=3^{p+1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies p+1=p+1[/tex]
Subtract 1 from both sides:
[tex]\implies p+1-1=p+1-1[/tex]
[tex]\implies p=p[/tex]
Therefore as both sides are equal, true for all p.
Which of these is a good conductor?
wood
silver
paper
air
A delivery company charges a flat rate of $3 for a large envelope plus an additional $0.25 per ounce for every ounce over a pound the package weighs. The postage for the package is $5.50. How much does the package weigh? (Hint: remember the first pound is included in the S3.)
Answer:
1 pound 10 ounces
Step-by-step explanation:
5.50-3.00=2.50
2.50/0.25=10
math can you please help me?
Answer:
The answer will be -5
You are welcome:)
Step-by-step explanation:
12. The function t = 19m + 65 represents the temperature t (in degrees Fahrenheit)
of an oven after preheating for m minutes.
The temperature in Fahrenheit after preheating for 2 minutes is 103⁰F
The question looks incomplete but we can as well find the temperature in Fahrenheit after preheating for 2 minutes
Give the function t = 19m + 65 that represents the temperature t (in degrees Fahrenheit) of an oven after preheating for m minutes.
If t = 2,
t = 19(2) + 65
t = 38 + 65
t = 103⁰F
Hence the temperature in Fahrenheit after preheating for 2 minutes is 103⁰F
Learn more here:https://brainly.com/question/16510024
chứng minh: x(4+1/3*x+48)=1440
Step-by-step explanation:
1
3 x2+52x=1440
Step 2: Subtract 1440 from both sides.
1
3 x2+52x−1440=1440−1440
1
3 x2+52x−1440=0
For this equation: a=0.3333333333333333, b=52, c=-1440
0.333333x2+52x+−1440=0
Step 3: Use quadratic formula with a=0.3333333333333333, b=52, c=-1440.
x=
−b±√b2−4ac
2a
x=
−(52)±√(52)2−4(0.333333)(−1440)
2(0.333333)
x=
−52±√4624
0.6666666666666666
x=24,−180
Answer:
x=24,−180
Hi there I'm douing my homeworks and need to find Common Mistakes of these words if someone can help me I'll be happy thank you. :)
1. Rigid Transformation
2. Translation
3. Rotation
4. Reflection
The sum of twice a number and 6
Answer:
The answer to your question is 4
The sum of twice a number and 6 is 4.
What are the differences and similarities between the the graphs and equations of circles and ellipses?
What’s the slope of (4,1) and (5,-3)
Answer:
-4
Step-by-step explanation: