In AGHI, GI is extended through point I to point J, mZGHI = (2x - 3)º,
mZIGH = (2x + 15)°, and m_HIJ = (7x – 18)'. Find mZGHI.
Answer:
m<GHI = 17°
Step-by-step explanation:
m<GHI = (2x - 3)°
m<IGH = (2x + 15)°
m<HIJ = (7x - 18)°
<HIJ is an exterior angle of ∆GHI
<GHI and <HIJ are both interior angles of ∆GHI that are opposite to the exterior angle.
Therefore, based on the exterior angle theorem of a triangle, we would have the following equation:
m<GHI + m<IGH = m<HIJ
(2x - 3)° + (2x + 15)° = (7x - 18)° (substitution)
Solve for x
2x - 3 + 2x + 15 = 7x - 18
Add like terms
4x + 12 = 7x - 18
4x - 7x = -12 - 18
-3x = -30
Divide both sides by -3
x = 10
✔️m<GHI = (2x - 3)°
Plug in the value of x
m<GHI = 2(10) - 3 = 20 - 3
m<GHI = 17°
A football is originally priced at $15. In this state, the sales tax rate is 7%. What was the total price of the football?
Answer:
107%=16.06
Step-by-step explanation:
im pretty sure that's it, if its not please correct me.
Tanvi finds that her robot vacuum can clean her 150-square-foot kitchen in 1 of an hour. How
many square feet could the robot vacuum clean in 1 hour?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
square feet
Submit
X X Practice in the app
Wariant
Answer:
300
Step-by-step explanation:
hurry I am timed Which part of the cell holds genetic information in the molecule DNA?
ribosome
chromosomes
Golgi body
vacuole
Answer:
Chromosomes
Have a great day!
Answer:
chromosomes are genetic materials found in the Nucleus of a cell, and hence it holds DNA .
Jack Lawler, a financial analyst, wants to prepare an article on the Shadow Stock portfolio developed by the American Association of Individual Investors (AAII). A list of the 30 companies in the Shadow Stock portfolio as of March is contained in the Excel Online file below. Use the spreadsheet to answer the following questions.
Jack would like to select a simple random sample of 5 of these companies for an interview concerning management practices.
a. The Shadow Stock companies are listed in column A of the Excel worksheet provided above. In column B we have generated a random number for each of the companies. Use these random numbers to select a simple random sample of 5 of these companies for Jack by finding the smallest random number, the second smallest random number, etc. in column B using an Excel function.
The random numbers corresponding to the first 5 companies selected are (to 5 decimal places):
First company (smallest random number) ____
Second company (2nd smallest random number) ____
Third company (3rd smallest random number) _____
Fourth company (4th smallest random number) _____
Fifth company (5th smallest random number)______
0.15106
0.78664
0.46736
0.31288
0.05743
0.96845
0.70824
0.43701
0.68709
0.49262
0.69531
0.04123
0.51061
0.23796
0.92181
0.91875
0.97469
0.78824
0.30299
0.61512
0.83291
0.05894
0.76809
0.85076
0.61597
0.42998
0.92434
0.36411
0.72285
0.29854
value of b in the quadratic equation 3x/4=1/x
a car is traveling at a speed of 83 mph. what is the cars speed in miles per minute? how many miles will the car travel in 2 minutes?
quickly please im very confused
Answer:
A: -16/3
B: 16/3
C: -6
D: -6
E: 6
Step-by-step explanation:
A would be -16/3 because you multiply -2 time 8 which is 116. And the denominator is 3.
B would be 16/3. It is the same as problem A but there are two negatives which make positive.
C is -6. You just divide -18/3.
D is the exact same as C. It just has parenthesis but the answer is still -6.
E is 6 because there are two negatives which make a positive.
How many degrees is angle x?
Answer:
Step-by-step explanation:
acute angle
Answer:
40 degrees
Step-by-step explanation:
The way I did this (and it won't make much sense I know but its just my way of doing it), is to subtract the bigger angle on the tool by the smaller angle. For example, like in the image, one arrow is at 120 degrees and another at 80 degrees, so I would just do 120-80 which equals 40, and because we talk about angles in the hood its 40 degrees, not plain 40
hope you understand
Help ASAP! I’m confused. Thanks!!
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation: Adjacents are two angles that equal 180 I think.
Working alone, it takes Stephanie seven hours to clean an attic. Shayna can clean it in 12 hours. How long would it take them to clean the attic working together?
Find the slope of the graphed line below. Help please!
Answer:
3,4
Step-by-step explanation:
up 3 and right 4. your welcome
The tables show the amount earned by James and Paco working at the same store.
James's Hours Amount Earned
3 $35.40
5 $59.00
8 $94.40
Paco's Hours Amount Earned
2 $24.00
4 $48.00
7 $84.00
What are the two equations that can represent James and Paco's hourly wages, where h is the number of hours worked and d is the amount of money earned?
Compare the equations to determine if there is any difference between what James and Paco make each hour.
its pacos hour because as you can see he makes more i just know trust me its pacos
Which fraction is represented by point A on the number line?
20 points please help me! If your just gunna say points then nobody even bother actually answering my question.
Answer:
It would be 1
Step-by-step explanation:
because after the number 0 would restart to back to 1
Figue out the measures
Answer:
Angle 1 is 134 and Angle 2 is 46
does any one know the correct answer that is good in math
Will give you brainliest PLS HELP ASAPPP
Answer: UT=18
Step-by-step explanation:
Answer:18
Step-by-step explanation:
It’s divided by 3.5 so divide 63/3.5
What place is the digit 3 in the number 6,257.839
Answer:
tenths
Step-by-step explanation:
What is an equation of the line that passes through the points (4, -8) and (-4, 2)?
Put your answer in fully reduced form.
plz help me i will give 14 points!!!
Evaluate the expression when x=4, y=-6, and z= -3.
3x – 2y
----------------
Z
Answer:
3x-2y=3(4)-2(-6)
12+12=24
Now, we divide the result of 3x-2y by z
Therefore, we have 24 divide - 3
-8
Therefore, the answer is - 8
pls help this is due today whoever anders the most questions gets brainliest
Answer:
4. percent...........
What is the smallest possible value x could take given that it must be an integer?
x>−3
Answer:
The smallest possible value that x could take is -2.
Step-by-step explanation:
Integer values:
Integer values can be either positive or negative, with no decimal parts. The integer set is given by:
{...,-3,-2,-1,0,1,2,3,....}
x>−3
We want the first integer on the number line that is greater than -3. This is -2.
So the smallest possible value that x could take is -2.
A study suggested that childrenbetween the ages of 6 and 11 in the US have anaverage weightof 74 lbs. with a standard deviation of 2.7 lbs.If we assumethe weights are normally distributed, what proportion of childrenin this age range between 70 lbs. and 85 lbs.
Answer:
The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A study suggested that children between the ages of 6 and 11 in the US have an average weightof 74 lbs, with a standard deviation of 2.7 lbs.
This means that [tex]\mu = 74, \sigma = 2.7[/tex]
What proportion of childrenin this age range between 70 lbs and 85 lbs.
This is the pvalue of Z when X = 85 subtracted by the pvalue of Z when X = 70. So
X = 85
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{85 - 74}{2.7}[/tex]
[tex]Z = 4.07[/tex]
[tex]Z = 4.07[/tex] has a pvalue of 1
X = 70
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 74}{2.7}[/tex]
[tex]Z = -1.48[/tex]
[tex]Z = -1.48[/tex] has a pvalue of 0.0694
1 - 0.0694 = 0.9306
The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.
. Of the 200 students surveyed in 5th grade, 120 prefer bananas and 80 prefer apples. what is the part to whole ratio?
5th grade math. Correct answer will be marked brainliest.
Answer:
part a is 3500
Step-by-step explanation:
Draw a model to show 100 ounces of soda divided equally among 12 people. How many
ounces will each person have?
Answer:1,200
Step-by-step explanation:
Answer:
1,200
Step-by-step explanation:
After a discount of 30%, the sale price of a ride
pass at a fun park is $35. What was the original
price?
Answer:
Step-by-step explanation:
Its simple really, its 45.5
Since its a mark down and you want to find the original number, you have to multiply 35 by 1.3
35 x 1.3 = 45.5
Which then gives you 45.5
15. A private swimming club
ges $2.50
After the first hour, swimmers have to pay an additional $1.50 for each h.
hour, or part of a half hour thereafter. Georgina and her friend swam int
pool for x hours.
Answer:$11.00
Step-by-step explanation:
Pls help me this is 7th grade (ADVANCED)
Answer:
Step-by-step explanation:
Any line will add up to 180 degrees. If you subtract the 165 degrees from 180 (total), you will get the x value.
180 - 165 = 15 degrees