A side of the triangle below has been extended to form an exterior angle of 165º. Find
the value of x.
Answers
Answer:
x = 120°
Step-by-step explanation:
the 165 degree obtuse angle forms a straight line with the upper left angle inside the triangle, therefore this angle measures 15 degrees
we know two of the three angle measures so we add all three together to find the unknown angle
x + 15 + 45 = 180
x + 60 = 180
x = 120°
Related Questions
solve the inequality x-3 < 3x -7
Answers
Answer:
x > 2 or 2 < x
Step-by-step explanation:
x-3 < 3x-7
-3 < 2x-7
4 < 2x
2 < x
x > 2
Select the reason why these triangles are
similar. If they are not, select "Not similar.
14
9
24
16
6
21
Answers
Answer:
SSS
Step-by-step explanation:
The triangles are similar according to SSS rule (side lengths)
You can check it by writing the following equation:
6/9 = 16/24 simplify both sides
2/3 = 2/3
In how many ways can a student answer the questions on the test if the student can leave answers blank
Answers
5.A Nathan decided he wanted to go to a theme park. The theme
park charges $ 7.00 for entry and $ 1.50 for each ride. Part A : Write an
expression to represent this scenario where R represents the number of
rides.
5.B Refer to problem 5. Part B: Write and solve an equation to determine
how many rides Nathan can ride if his Dad give him $ 28.00. Show your work.
Answers
Answer:
5a. $1.50R + $7
5b. 14 rides
Step-by-step explanation:
5b. $28 - $7= $21/1.50= 14
He can go on 14 rides
If rides be x
Initial price=7Rate of change=1.5The equation is
y=1.5x+7#B
Put y=28
1.5x+7=281.5x=28-71.5x=21x=14Total 14 rides
5.prove for kite abcd above that BD bisects both ABC and ADC
6.Given from what we now know from 5, prove that M must be the midpoint of AC
Answers
The kite is a quadrilateral that has two pairs of equal adjacent sides and
one of equal opposite angles.
5. The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] [tex]{}[/tex] Given
[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{AD}[/tex] = [tex]\overline{CD}[/tex] [tex]{}[/tex] Given
[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex] [tex]{}[/tex] By reflexive property
ΔABD ≅ ΔBDC [tex]{}[/tex] By Side-Side-Side, SSS congruency postulate
∠ABC = ∠ABD + ∠CBD [tex]{}[/tex] Angle addition postulate
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC
∠ABD = ∠CBD [tex]{}[/tex] Definition of congruency
[tex]\overline{BD}[/tex] is a bisector of ∠ABC [tex]{}[/tex] Definition of angle bisector
∠ADC = ∠ABD + ∠CBD [tex]{}[/tex] Angle addition postulate
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC
∠ABD = ∠CBD [tex]{}[/tex] Definition of congruency
Therefore;
[tex]\overline{BD}[/tex] is a bisector of ∠ADC [tex]{}[/tex] Definition of angle bisector
CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent
6. The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC (question 5)
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] [tex]{}[/tex] Given
[tex]\overline{BM}[/tex] ≅ [tex]\overline{BM}[/tex] [tex]{}[/tex] Reflexive property
ΔABM ≅ ΔCBM [tex]{}[/tex] According to Side-Angle-Side, SAS congruency rule
[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex] [tex]{}[/tex] CPCTC
[tex]\overline{AM}[/tex] = [tex]\overline{CM}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{CM}[/tex] [tex]{}[/tex] Segment addition postulate
[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{AM}[/tex] = 2·[tex]\overline{AM}[/tex] [tex]{}[/tex] Substitution property of equality
[tex]\overline{AM}[/tex] = 0.5·[tex]\overline{AC}[/tex] [tex]{}[/tex] Division property of equality
M divides [tex]\overline{AC}[/tex] to two [tex]{}[/tex] Definition
M is midpoint of [tex]\overline{AC}[/tex] [tex]{}[/tex] Definition of midpoint
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At Albemarle High School, 5/9 of the students are in band and 57% of the students are in chorus. Are more AHS students in band or chorus?
Answers
Let find percentage of 5/9
[tex]\\ \sf\longmapsto 5/9(100)[/tex]
[tex]\\ \sf\longmapsto 500/9[/tex]
[tex]\\ \sf\longmapsto 55.5\%[/tex]
More students are in chorus
Given
Percentage of students in Chorus.
Fraction of students in band
To find
Which has more students.
Let's start.
We need to find the Percentage of students in band.
[tex]\sf \longmapsto \: \dfrac{5}{9} \times 100[/tex]
[tex]\sf \longmapsto \: \dfrac{5}{9} \times \dfrac{100}{1} [/tex]
[tex]\sf \longmapsto \: \dfrac{5 \times 100}{9 \times 1} [/tex]
[tex]\sf \longmapsto \: \dfrac{500}{9} [/tex]
In Percentage:-
[tex]\sf \longmapsto \: \cancel \dfrac{500}{9} [/tex]
[tex]\sf \longmapsto \: 55.55\%[/tex]
[tex]\sf{55.55\% (Band)}<\sf{57\%(Chorus)}[/tex]
Chorus has more studentsA. —————-is the number above the fraction bar in a fraction. A ———-is the number below the fraction bar that respresents the number of equal parts in the whole
Answers
Answer:
First numerator and second denominator
Twenty-five students were randomly selected and asked "How many hours of TV did you watch this weekend?" The sample mean for the data is 5 hours.
The dotplot below shows the distribution of the sample mean hours of TV watched for 500 random samples of size 25 taken with replacement from the
original sample.
45
6
S.S
Simulated sample mean
Distribution of Simulated Mean
• samples mean SD
500 4.969 0.288
Use the results of the simulation to approximate the margin of error for the estimate of the mean number of hours of television watched. (answer in the
format 0.123)
Answers
Using a confidence level of 95%, the margin of error for the estimate of the mean number of television hours watched will be 1.129
The approximate margin of error can be calculated using the relation :
Margin of Error = [tex] Z_{\frac{α}{2}} \frac{σ}{\sqrt{n}} [/tex] Sample size, n = 25 Standard deviation, = 2.88Confidence level = 95% [tex] Z_{\frac{α}{2}} = 1.96 [/tex]Margin of Error = [tex] 1.96 \frac{2.88}{\sqrt{25}} [/tex]
Margin of Error = [tex] 1.96 \frac{2.88}{5} [/tex]
Margin of Error = [tex] 1.96 \times 0.576 [/tex]
Margin of Error = [tex] 1.129 [/tex]
Therefore, the margin of error for the estimate of the mean number of television hours watched is 1.129.
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what is the distance between the coordinates (9, -2) and (9, 8) show your work on a coordinate grid pleas help mee
Answers
Answer:
10
Formular for finding distance between two points; (x2-x1)² + (y2-y1)² (all square root)
X1=9
X2=9
Y1=-2
Y2=8
Distance= (9-9)²+(-2-8)² (all square root)
=(0)²+(-10)² (all square root)
=0 + 100 (square root)
=100 square root
=10
6) Last month, Yaws checking account
had a balance of Ghc347.20. Since then,
Yaws deposited his paycheck of
Ghc563.89 and withdrew Ghc478.53.
What is Kofi's checking account balance
now?
Answers
9514 1404 393
Answer:
Ghc432.56
Step-by-step explanation:
Deposits add to the balance; withdrawals subtract from the balance.
new balance = old balance + deposits - withdrawals
new balance = 347.20 +563.89 -478.53 = 432.56
Kofi's balance is now Ghc432.56.
How do you find the mean of 46,37,34,31,29, and 24??
Answers
Answer:
To find the mean you need to add all the given numbers and then divide that by how many numbers you added. In this case, the process would look like this.
1. add all numbers
46+37+34+31+29+24 = 201
2. divide the sum (201) by the amount of numbers you added (6)
201/6 = 33.5
3. and you're done! the mean (which is basically the average) of the given numbers is 33.5
2) Count the number of values in your data set.
3) Divide the sum by the count.
Answer: 181
Adam's school is 12 miles from his house. It takes his older brother 20 minutes to drive him school. Adam spilled his orange juice his morning, and so they left the house two minute late than usual. How much time does his brother to day to dive him to school?
Answers
Answer:
Well, if it is 20 min usual, then 22 minutes if they left 2 minutes late
Step-by-step explanation:
did you miss part of the question while typing?
A research question is a declarative statement which can be tested to determine the probability of it being true or false.
Answers
Answer:
Step-by-step explanation:
Yes the answer is true.
A declarative statement is one that
makes a statementprovides a factoffers an explanationconveys informationThat being said, it can make a statement that is testable. It is testable, it can be assigned a probability.
A car is traveling down a highway at a constant speed, described by the equation d=65t , where d represents the distance, in miles, that the car travels at this speed in t hours.
Complete the statement about the meaning of 65 in this situation.
The car travels_________ miles in ________ hour.
Answers
Step-by-step explanation:
10 1
20 miles car travel 65t hb
pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee answer
Answers
Answer:
no its not a function
Step-by-step explanation:
i hope i help ;)
What is 23=5-2/3m ??????
Answers
Answer:
Step-by-step explanation:
if it's
23 = 5 - (2/3)m
18 = (-2/3)m
m = 18(-3/2)
m = -27
if it's
23 = 5 - 2/(3m)
18 = -2/(3m)
18(3m) = -2
54m = - 2
m = -2/54
m = - 1/27
4/5 - 1/2 plz help i neeeeeeeeeed to know plz plz plz plz
Answers
Answer:
3/10
Step-by-step explanation:
Find a common denominator for both fractions.
4/5 - 1/2 = 8/10 - 5/10
Find the difference between 11/5 and 5/2 on a number line
Answers
9514 1404 393
Answer:
-3/10
Step-by-step explanation:
11/5 plots on a number line at 2.2
5/2 plots on a number line at 2.5
The distance between these points is 2.5 -2.2 = 0.3.
__
If you say the difference is 11/5 -5/2, then that is 2.2 -2.5 = -0.3 = -3/10.
If a ½ gallon of paint covers ⅙ of a wall, continuing at this rate how much paint is needed for the entire wall?
Answers
Answer:
3 gallons
Step-by-step explanation:
The population of a large city is gradually moving to outlying metropolitan areas with the decline predicted by the functional equation, P = P,2***
If represents the present population of 1 million and Pis the predicted population in t years, what is an estimate of the city's population five
years from now? Use 2.718 for e.
1,161,816
0 223,164
0 860,721
970,448
Answers
Solve the inequality
-5/7 - 6/7z < -2/7
Answers
[tex]-\cfrac{5}{7}-\cfrac{6}{7}z~~ < ~~-\cfrac{2}{7}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{-5-6z~~ < ~~-2} \\\\\\ \stackrel{\textit{dividing by a negative value}}{-6z~<~3\implies z ~\stackrel{\stackrel{notice}{\downarrow }}{>}~\cfrac{3}{-6}}\implies \boxed{z~>-\cfrac{1}{2}}[/tex]
please help me i’ll give brainlist and points
Answers
Answer:
Area solution
Step-by-step explanation:
A=(16+10)×12/2= 156 m^2
How many containers of At the book store, Dan bought 17 books about the solar system, and 12 magazines about dinosaurs. If books cost $15 and magazines cost $4, how much did Dan spend at the book store? *cream will she be able to purchase? *
Answers
Answer:
303
Step-by-step explanation:
math
geomtry plz help 15 points
Answers
Answer:
[tex]DE=5x-12[/tex]
Step-by-step explanation:
From this we can see this is an equilateral triangle
So, both sides to make every angle equal have to be the same
That's why [tex]DE=5x-12[/tex]
Brainliest please
Answer:
DE = 5x-12 (base angles of isos triangle)
A contractor uses a scale drawing of an office floor to determine the amount of carpet he needs to buy 1/4 inch = 4.5 feet the width in the scale drawing of the office floor is 6.4 inches what is the actual width of the office floor
Answers
A scale drawing is a method of drawing that requires either increasing or decreasing the dimensions of a given object. So then, the actual width of the office floor is: 115.2 feet.
A representative factor is a factor the can be used to either increase or decrease the dimensions of an object. It is sometimes referred to as a scale factor.
In the given question, the scale factor is given as:
[tex]\frac{ 1 }{4}[/tex] inch = 4.5 feet
Given that the width in the scale drawing of the office floor is 6.4 inches, let the actual width be represented by x.
So then;
[tex]\frac{ 1 }{4}[/tex] inch = 4.5 feet
6.4 inches = x
x = [tex]\frac{6.4 *4.5}{\frac{1}{4} }[/tex]
= [tex]\frac{28.8}{0.25}[/tex]
x = 115.2
Therefore, the actual width of the office floor is 115.2 feet.
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Answer:
115.2 /\
Step-by-step explanation: / \
What the person above me said. / \
what is the measure of line CD. explain
Answers
Serena has 24 apps on her tablet. Of these apps, 6 are games. What percent of Serena's apps are games?
Answers
Answer:
25%
Step-by-step explanation:
Like and give 5 star rating
Mark brainllest please
damon swam 0.68 km in the pool for each day for 2 weeks how many meters did damon swim in those 2 weeks
Answers
Answer:
10,080,000 (because 720×14, the total number of days he swam in two
Step-by-step explanation:
Please take a look at the picture for question
Answers
hope i made your day
Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. O b) 160 milliliters. c) 480 milliliters. O d) 960 milliliters.
Answers
Answer:
Step-by-step explanation:
B 160 milliliters