Answer:
Step-by-step explanation:
l║m and line t is the transversal line intersecting these parallel lines.
9). If m∠7 = 100°,
m∠3 = m∠7 = 100° [Since, ∠3 and ∠7 are alternate interior angles]
10). m∠7 = 95°
m∠6 + m∠7 = 180° [Consecutive interior angles]
m∠6 = 180° - m∠7
m∠6 = 180° - 95°
m∠6 = 85°
11. m∠1 = 120°
m∠1 = m∠5 = 120° [Alternate exterior angles]
12. m∠4 = 20°
Since, m∠4 = m∠6 = 20° [Vertically opposite angles]
And m∠6 + m∠7 = 180° [Consecutive interior angles]
20° + m∠7 = 180°
m∠7 = 160°
13. m∠3 = 140°
m∠3 + m∠6 = 180° [Linear pair of angles]
m∠6 = 180° - m∠3
= 180° - 140°
= 40°
m∠6 = m∠8 = 40° [Corresponding angles]
14. m∠4 = 30°
m∠4 + m∠1 = 180° [Consecutive exterior angles]
m∠1 = 180° - 30°
m∠1 = 150°
15. m∠4 = 40°
m∠4 = m∠2 = 40° [Corresponding angles]
16. m∠7 = 125°
m∠6 + m∠7 = 180° [Consecutive interior angles]
m∠6 = 180° - 125°
= 55°
m∠6 = m∠4 = 55° [Vertically opposite angles]
17. m∠1 + m∠3 = 230°
Since, m∠1 = m∠3 [Corresponding angles]
m∠3 + m∠3 = 230°
m∠3 = [tex]\frac{230}{2}[/tex]
= 115°
m∠3 + m∠6 = 180° [Linear pair of angles]
m∠6 = 180° - 115°
m∠6 = 65°
Ms. Hudson runs 6 miles in 2.5 hours. How far does she go in 5 hours?
Answer:
12 miles
Step-by-step explanation:
2.5 hours= 6 miles
1 hour= 6/2.5 miles
5 hours= 6*5/2.5= 12 miles
Evaluate the expression
6n + 3 if n=4
Answer:
27
Step-by-step explanation:
If n = 4, all we need to do is substitute the number into the equation.
6n + 3
= 6(4) + 3
= 24 + 3
= 27
I recommend checking out a few more problems like these to get the gist of it. You'll be using this a lot in the future! I recommend taking a look on Kahn Academy for more learning.
Good luck!
At a summer camp there are 40 boys out of 70 campers what is the ratio written as a fraction in simplest form
Answer:
4/7
Step-by-step explanation:
40/70 = 4/7
Topic: Fractions
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Solve 12x + 6 2 9x + 12.
A. X2
B. xs2
O
C. X26
0
D. Xs6
SUBNANT
Answer:
269
Step-by-step explanation:
Solve 12x + 6 2 9x + 12.
A. X2
B. xs2
O
C. X26
0
D. Xs6
The number 4 + i is multiplied by some real number to yield 2 + one-half i. Which equation is true?
Answer:
A. (1/2)(4+i)= 2+ (1/2)i
Step-by-step explanation:
The equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
= 4+i
Multiply it by 1/2
[tex]= \rm \dfrac{1}{2}(4+i)\\\\\rm =2+ \dfrac{1}{2}i[/tex]
[tex]\rm \dfrac{1}{2}(4+i) =2+ \dfrac{1}{2}i[/tex]
Thus, the equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.
Learn more about the complex number here:
https://brainly.com/question/10251853
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEE
The graph shows the amount of money possible to make when charging a certain amount for tutoring. The x values represent the price of an hour of tutoring and the y values represent the total profit. What are the zeros of the function? What do they represent
Answer:
It represents no total profit
Step-by-step explanation:
The zeros are the initial point represent how have not yet started the hour of tutoring which means no total profit.(0,0)
Caitlin drew a scale drawing of the community park in her town. The actual
long.
What scale did Caitlin use to draw the park?
o 1 inch equals 4 feet
4 inches equal 4 feet
o 1 inch equals foot
4 inches equal 1 foot
Answer: 1 inch equals 4 feet
Step-by-step explanation:
By an online search, I´ve found that:
The park is 48 ft long.
Caitlin´s drawing is 12 inches long.
To find how much each inch represents, we need to take the quotient between those lengths:
48ft/12in = 4ft/in.
We also can write this amount as:
4 feet per inch.
This means that each inch represents 4 feets.
Then the correct option is the first one: 1 inch equals 4 feet
The recipe for 1 batch of cookies calls for ¾ cups of sugar. How many cups of sugar do you need for ½ a batch of cookies?
Answer:
3/8 cups of sugar.
Step-by-step explanation:
By multiplying the denomintor by 2 you can get half of what it was.
Help me please I don’t understand
Answer:
Transformations of function -3(4x)² - 5:
vertical stretchreflects across y axishorizontal compressiontranslates downWhen using a number line to model addition, what does the first integer in a subtraction problem tell you?
It tells you where to begin on the number line.
It tells you what you how much money you have!
Find the slope! I really need help fast
Answer:
C
Step-by-step explanation:
goodluck
Joseph wants to buy a new smart TV. He has saved $40 and earns $15 per lawn of leaves he rakes. Which of the following equations can be used to determine the number of lawns Joseph needs to rake r, in order to buy the smart TV, which costs S dollars
Answer:
he rakes 3 lawns per day. he would have to work for 6.4 days to earn $45.
hope this helps!!!!!
two hundred twenty-one plus ninety
Answer:
311
Step-by-step explanation:
221 + 90 = 311
Answer:
311
Step-by-step explanation:
u coud of google that
228:4 as a unit rate
Step-by-step explanation: 228/4 = 57, so 57/1 = 57:1.
Answer:
57: 1
Step-by-step explanation:
You take 228 divided by 4 which will give you 57 you do it to this side so you did the same thing to the other which mean you take 4 divided by 4 which is 1 therefore the unit rate is 57: 1
2.
7 in
Н
I
2 in
J
What is the Scale Factor?
21 in
M
6 in
N
what is the probability of spinning a spinner with 4 equal sections labeled 1, 2, 3, and 4 and landing on either 1 or 4
Answer:
the probability is 2 out of 4
Step-by-step explanation:
Help please idk what to do
Answer:
The parallel slopes are the same as the regular slopes. The perpendicular slopes are equal to -1 * (1/slope)
Step-by-step explanation:
Answer:
For Parallel slop is the same. For perpendicular int is opposite reciprocal.
Step-by-step explanation:
For example, the parallel slope of 3 is 3 and perpendicular is -1/3
6. The function (3) - 44x represents the number of jumping jacks j(x) you can do in x minutes. How many
jumping jacks can you do in 5 minutes?
2 149 jumping jacks
c220 jumping jacks
b. 239 jumping jacks
d 8jumping jacks
Answer:
We can do 220 jumping jacks in 5 minutes.
Step-by-step explanation:
We are given the function:
[tex]j(x) =44x[/tex]
Note: Considering there is typing mistake and the function is: j(x)=4x
where x is minutes
We need to find How many jumping jacks can you do in 5 minutes.
So, here x=5
Now putting value of x in the given function
[tex]j(x) = 44x\\Put \ x=5\\j(5)=44(5)\\j(5)=220[/tex]
So, we can do 220 jumping jacks in 5 minutes.
Find a center of mass of a thin plate of density delta equals 5δ=5 bounded by the lines y equals xy=x and x equals 0x=0 and the parabola y equals 20 minus x squaredy=20−x2 in the first quadran
Answer:
center of mass
X = [tex]\frac{my}{m} = \frac{28}{19}[/tex]
Y = [tex]\frac{mx}{m} = \frac{872}{95}[/tex]
Step-by-step explanation:
y = x and x = 0
parabola ; y = 20 - x^2
attached below is the detailed solution
M = [tex]\frac{152}{3}[/tex]б
Mx = [tex]\frac{6976}{15}[/tex]б
My = [tex]\frac{224}{3}[/tex]б
X = [tex]\frac{my}{m} = \frac{28}{19}[/tex]
Y = [tex]\frac{mx}{m} = \frac{872}{95}[/tex]
The football coach threw a football from a platform to his
quarterback below. The height of the football, h, at time t seconds is modeled by the equation h(t) = -16t^2 + 28t + 15.
1. What is the maximum height of the ball?
2. If the quarterback caught the ball at a height of 6 feet, how many seconds was the ball in the air?
3. Give the domain and range of the function.
Answer:
1)27.25 feet
2)-0.2774,2.027
3)Domain = All real numbers
Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]
Step-by-step explanation:
The height of the football, h, at time t seconds is modeled by the equation [tex]h(t) = -16t^2 + 28t + 15[/tex]
General quadratic equation : [tex]ax^2=bx+c=0[/tex]
1) Maximum height will be at [tex]\frac{-b}{2a}=\frac{-28}{2(-16)}=\frac{7}{8}[/tex]
To find maximum height Substitute [tex]t = \frac{7}{8}[/tex] in the given equation
[tex]h(t)=-16(\frac{7}{8})^2+28(\frac{7}{8})+15\\h(t)=27.25 feet[/tex]
2)
Substitute h(t)=6
So, [tex]-16t^2+28t+15=6[/tex]
[tex]-16t^2+28t+9=0\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-28\pm \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=\frac{-28+ \sqrt{28^2-4(-16)(9)}}{2(-16)},\frac{-28- \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=-0.2774,2.027[/tex]
3)
Domain = All real numbers
Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]
four equals the difference of eight and a number and the result is divided by four
Answer:
(8-n=4)/4 click brainliest please and click thanks
Step-by-step explanation:
The mathematical expression which represents the phrase four equals the difference between eight and a number and the result is divided by four is (4 = 8 - x)/4.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
Difference of 8 and a number x = 8 - x
4 equal to 8 - x
4 = 8 - x
Now,
The result is divided by 4
Therefore,(4 = 8 - x)/4
Hence "The mathematical expression which represents the phrase four equals the difference between eight and a number and the result is divided by four is (4 = 8 - x)/4".
To learn more about expression,
https://brainly.com/question/14083225
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$12 saved after 2 weeks ; $36 saved after 6 weeks
Answer:
6$ a week or 12$ Every 2 weeks
Step-by-step explanation:
Please help me, I don’t know how to solve for x on this one
Use trigonometry to solve for x.
The tangent function is defined to be opposite side divided by the adjacent side.
tan(78) = x/10
tan(78)(10) = x
47.0463010948 = x
We now round off to two decimal places. In other words, we round off to the nearest tenths.
47.05 = x
Done!
2x3x5b work this out please
What is the value of x?
L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVvT0UyU0RMRzdOZ2ZYb09yLVZCWUN3TDBDSTMyRFlnekd1S0I2WGQxbzU1ZXRxaXBHak9PWmZIR2F0X2NpdVg0N3l4dkx4Z1NUZ1lnOXp4bjUwQklLRks5R244Zy5tV0Zwb1JlcWJWNVV5Qmdt?w=400&h=400
a
x=24
b
x=48
c
x=66
d
x=132
Answer:
I THINK U ANSWERED IT ON YOUR OWN
Step-by-step explanation:
Answer:
mark me braniest
Step-by-step explanation:
If f(x) = −2 + 8, what is f(−1.8)?
4
6
10
12
Step-by-step explanation: -1.8 rounds up to -1. -2 x -1 = 2, 2+8 = 10.
Answer:
well I know its not 4
Step-by-step explanation:
I got it wrong in my quiz
But it will sure be appreciated if someone can give the correct answer.
Thank you all and I hope you all have a wonderful day :)
A training field is formed by joining a rectangle and two semicircles, as shown below.
The rectangle is long and wide.
Find the area of the training field. Use the value for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is
95m long and
74m wide.
Find the area of the training field. Use the value 3.14 for Pie
for
, and do not round your answer.
Step-by-step explanation:
hope it helps
The point P(6, -1) is translated according to the rule , y) - (1-5, y-2).
What are the coordinates of P'?
O P(1, 2)
O P'(1, 1)
OP'(1, -3)
P'(4, 4)
Answer:
C
Step-by-step explanation:
Took quiz
Samuel is in the business of manufacturing phones. He must pay a daily fixed cost to
rent the building and equipment, and also pays a cost per phone produced for
materials and labor. The equation C = 225p + 900 can be used to determine the
total cost, in dollars, of producing p phones in a given day. What is the slope of the
equation and what is its interpretation in the context of the problem?
The slope of the function is 225 which represents
the total cost to produce all of the phones
*
attempt 2 out of 2
the total cost to produce all of the phones
the number of phones produced in a day
the fixed cost for rent and equipment
the number of days to produce all of the phones
the additional cost to produce each phone
cy Policy Terms of Service
O DeltaMath.com. All Rights Reserved.
Answer:
the additional cost to produce each phone
Can someone help plz.
Answer:
The outlier (20%) would cause her grade to decrease.
Step-by-step explanation:
(88 + 92 + 92 + 96 + 98) / 5 = 93.2% (Before the outlier)
(88 + 92 + 92 + 96 + 98 + 20) / 6 = 81% (After)
The outlier caused her grade to decrease by 12.2%
Answer:
a
or is their a fourth answer
Step-by-step explanation: