Answers
Given:
A figure of a triangle.
To find:
The measure of angle A.
Solution:
Label the points in the figure as shown below.
In the below figure,
[tex]\angle ACB\cong \angle DCE[/tex] (Vertically opposite angles)
[tex]m\angle ACB=m\angle DCE[/tex] (Congregant angles)
[tex]m\angle ACB=8x+4[/tex]
Using exterior angle theorem in triangle ABC, we get
[tex]m\angle A+m\angle C=\text{Exterior }m\angle B[/tex]
[tex]m\angle BAC+m\angle ACB=130^\circ[/tex]
[tex](3x-6)+(8x+4)=130^\circ[/tex]
[tex]11x-2=130^\circ[/tex]
Isolate the variable term x.
[tex]11x=130^\circ+2[/tex]
[tex]11x=132^\circ[/tex]
[tex]x=\dfrac{132^\circ}{11}[/tex]
[tex]x=12^\circ[/tex]
Now, the measure of angle A is:
[tex]m\angle A=3x-6[/tex]
[tex]m\angle A=3(12^\circ)-6[/tex]
[tex]m\angle A=36^\circ-6[/tex]
[tex]m\angle A=30^\circ[/tex]
Therefore, the correct option is B.
Related Questions
Can someone give me the answer ?!?
Answers
Answer:
25%
Step-by-step explanation:
Probability = # of favorable outcomes / possible outcomes
favorable outcomes is what we want to happen ( throwing more than 3 pitches )
So to find the # of favorable outcomes we must find the frequency that the pitcher throws more than 3 pitches ( note: frequency of throwing 3 pitches is not included)
There are two possible outcomes of the pitcher pitching more than 3 pitches, 4 pitches having a frequency of 15, and 5 pitches which has a frequency of 10
So # of favorable outcomes = 10 + 15 = 25
Now we want to find the # of possible outcomes.
To do so we simply add the frequencies of each possible outcome.
15 + 20 + 40 + 15 + 10 = 100
So there are a total of 100 possible outcomes
Finally to find the probability of the pitcher throwing more than 3 pitches we divide favorable outcomes ( 25) by possible outcomes (100)
Our answer = 25/100 which can be converted into a percentage as 25%
Please answer these graph questions for the following! (✿◡‿◡)
a) how far did he go before stopping?
b) which part of the journey is the traveling the fastest a, b, c, or d?
c)what was his speed on the last section of his journey (d)?
Answers
Answer:
60
a
30
Step-by-step explanation:
I uuwuwuueieieieiewiiwiwiwiwiwiwieiwie
Which is the interquartile range of the data set: 8, 9, 10, 11, 12?
A. 4
b. 4.5
C. 6
D. 3
Answers
Answer:D. The answer is 3.
Step-by-step explanation:
Where? The crime was committed on the day and at one of the locations below, but which one? It happened where ALL the answers are true. B 5 cm oi -2 cm. 5 cm 9 cm 5 cm 3 cm 15 cm A 8 cm С 17 cm 8 cm 10 cm 1 cm 0.6 cm 7 cm D -15 cm 2 cm Monday in the gym The surface area of A is 150 cm 2. The volume of C is 8.4 cm 3 The volume of D is 750 cm The surface area of A is 1,500 mm 3 Tuesday in the dining The volume of B is 540cm room 3 The volume of D is 1200 cm 2 The surface area of A is 0.015 m 3 The volume of B is 0.00054 m The volume of D is 600 cm3 Thursday on the playing fields Friday in the maths classroom The surface area of A is 0.15 m 3 The volume of Dis 0.0006 m The volume of A is 125,000 mm3 The Accusation Who Where & when
Answers
9514 1404 393
Answer:
(C) Thursday on the playing fields
Step-by-step explanation:
The surface area of A is ...
SA = 6s² = 6(5 cm)² = 150 cm² = 150(0.01 m)² = 0.015 m²
This matches Monday and Thursday.
The volume of D is ...
V = Bh = (1/2bh)·h'
where b is the triangle base, h is the triangle height, and h' is the prism height.
V = (1/2)(15 cm)(8 cm)(10 cm) = 600 cm³
This matches Thursday only.
__
The Accusation: Thursday on the playing fields.
Answer:
{C} Thursday on the playing fieldA rectangular swimming pool is 15 meters long, 11 1/2 meters wide, and 1 1/2 meters deep. What is its volume?
Answers
Explanation:
Use this formula for volume of rectangular prism: length x width x height
In this case it would be:
15 • 11 1/2 • 1 1/2 = 258 3/4
VOLUME= 258 3/4 cubic meters
Com.ment me if u have any questions
If my answer is correct, braibliest please!
-SpaceMarsg, have a nice day :DD
please help!!!!
On a certain hot summer's day, 554 people used the public swimming pool. The
daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1097.00.
How many children and how many adults swam at the public pool that day?
Answers
Answer:
Children= 384 Adults= 170
Step-by-step explanation:
First, write a system of algebraic equations:
[tex]1.75x+2.50y=1097[/tex]
[tex]x+y=554[/tex]
Second, use linear combination to eliminate one variable (I will eliminate x, or children.)
[tex]1.75x+2.50y=1097[/tex]
[tex]-1.75(x+y=554)[/tex]
[tex]1.75x+2.50y=1097[/tex]
[tex]-1.75x+-1.75y=-969.5[/tex]
[tex]0.75y=127.5[/tex]
Divide both sides by 0.75
[tex]0.75y=127.5[/tex]
[tex]/0.75[/tex] [tex]/0.75[/tex]
[tex]y=170[/tex], there are 170 adults
Now, plug in 170 for [tex]x+y=554[/tex]
[tex]x+170=554[/tex]
Subtract 170 from both sides
[tex]x+170=554[/tex]
[tex]-170[/tex] [tex]-170[/tex]
[tex]x=384[/tex], there are 384 kids.
Hope this helps!!!
Answer:
384 children and 170 adults
Step-by-step explanation:
if x is children and y is adults
1.75x+2.5y=1097
x+y=554
1.75x=1097-2.5y
x=554-y
1.75x=1097-2.5y
1.75x=1.75(554-y)
1097-2.5y=969.5-1.75y
1097-969.5=2.5y-1.75y
127.5=0.75y
127.5/0.75=y
170=y
x+y=554
x=554-y
x=554-170
x=384
to prove these are correct just do 1.75(384)+2.5(170) and see if it equals 1097, and do 384+170 to see if its the amount of people
1.75(384)+2.5(170)
672+425
1097
384+170=554
What type of transformation does shape A undergo to form shape B?
Answers
Answer:
Rotated 90° counterclockwise, then reflected across the y-axis
Step-by-step explanation:
Please help me kitty
Answers
Answer:
Its either exponential growth or increasing linear. I am positive it is not exponential decay or decreasing linear, but if I had to choose it would be exponential growth.
Answer:
Hi how are you will u friendship with me plz
I was wondering if anyone could tutor me on another app I haven't been to school since the last last school year and im very behind
Answers
Answer:
May I ask what subject you are behind in?
help 0-0-0-0-0-0-0-0-0-0-0-0-0-0
Answers
Answer:
(12,0)
Step-by-step explanation:
So whenever you are asked for an "intercept" it is the point where a line crosses the axis. The x intercept is where the line crosses at the x axis (horizontal line on the graph) and the y intercept is where the y axis crosses (vertical axis).
So this question is really asking where is the point when y = 0
The x values in the chart are 5 apart-- 22 +5 = 27, 27+ 5 = 32
The y values are 18 apart --> 36 + 18 = 54, 54+ 18 = 72
Make a little chart where y = 0 (this is where the x crosses) and you can see
there is a point at (17, 18) and then (12, 0) and that point is the x intercept.
Answer:
(12, 0)
Step-by-step explanation:
the x-intercept is the point, where y=0.
so, the second coordinate is therefore 0, no matter what.
now, at what x is that ?
let's find the line function.
a line is
y = a×x + b
let's use the first point (22, 36)
36 = a×22 + b
a = (36 - b)/22
let's use the second point (27, 54)
54 = a×27 + b
now we use the first expression describing a in terms of b and insert that into the second expression.
54 = 27×(36 - b)/22 + b
54×22 = 27×(36 - b) + 22b = 972 - 27b + 22b
1188 = 972 - 5b
216 = -5b
b = -43.2
=>
a = (36 - -43.2)/22 = (36 + 43.2)/22 =79.2/22 = 3.6
our line is
y = 3.6x - 43.2
so, now back to the question, at what x is y=0 ?
0 = 3.6x - 43.2
3.6x = 43.2
x = 12
Fill in the blanks with the most appropriate words given below.
around, react, too, method, fields, on, plants,
together, is, family, planter, weeds, experience, talking
Ecology is the study of how (1)… ……………………, animals and people live (2)…… ………… and
help each other. But man sometimes forgets he (3) ……..……….. a part of the (4)……………….. of
all living things. Here is an example. A planter is (5)………………. about killing (6)… ……………
on his land. He remembers his first (7)……………….… with a weedicide. He was a (8)
………………….. then, working (9)………..………..a rubber plantation. He had a problem with
weeds. The cost of weeding of the (10)…….…………… by hand was getting (11)………..…………
high. So he used a new, cheap and effective (12)……………………, good old Sodium
Arsenate. He sprayed plenty of this (13)………………………… to kill the weeds. The first thing to
(14)…………………… were the frogs.
Answers
Answer:
1. plants
2. together
3. is
4. family
5. talking
6. weeds
7. experience
8. planter
9. on
10. fields
11. too
12. method
13. around
14. react.
Explanation:
The given passage talks about the impact of chemicals on the ecosystem. The speaker narrates how the ecology belongs to plants, animals, and humans, though man seemed intent to destroy it for himself.
The blanks in the given passage are filled with the appropriate words as follows-
Ecology is the study of how (1) plants, animals, and people live (2) together and help each other. But man sometimes forgets he (3) is a part of the (4) family of all living things. Here is an example. A planter is (5) talking about killing (6) weeds on his land. He remembers his first (7) experience with a weedicide. He was a (8) planter then, working (9) on a rubber plantation. He had a problem with weeds. The cost of weeding of the (10) fields by hand was getting (11) too high. So he used a new, cheap, and effective (12) method, good old Sodium Arsenate. He sprayed plenty of this (13) around to kill the weeds. The first thing to (14) react were the frogs.
help this is for Plato
Answers
Answer:
-5 + 3i √3
Step-by-step explanation:
Here, we want to get the value of uv
we have this as follows;
1( 1 + 2i √3) + i √3( 1 + 2i √3) ( i is same as square root of -1, so two roots of this will give the number we are looking for
= 1 + 2i √3 + i √3 + (2i)(i)(3)
= 1 + 3i √3 - 6
= 3i√ 3 -5
What is the answer of (x+y÷x-y)÷(y+x÷y-x)
Answers
Answer:
[tex]{ \tt{ \frac{( \frac{x + y}{x - y}) }{( \frac{y + x}{y - x}) } }} \\ \\ { \tt{ = \frac{x + y}{x - y} \times \frac{y - x}{y + x} }} \\ \\ { \tt{ = \frac{-(x- y)}{x - y} }}[/tex]
Answer: = -1
BD is the angle bisector of
Answers
Note: Let us consider, we need to find the [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].
Given:
In the given figure, BD is the angle bisector of ABC.
To find:
The [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].
Solution:
BD is the angle bisector of ABC. So,
[tex]m\angle ABD=m\angle DBC[/tex]
[tex]3x=x+20[/tex]
[tex]3x-x=20[/tex]
[tex]2x=20[/tex]
Divide both sides by 2.
[tex]x=\dfrac{20}{2}[/tex]
[tex]x=10[/tex]
Now,
[tex]m\angle DBC=(x+20)^\circ[/tex]
[tex]m\angle DBC=(10+20)^\circ[/tex]
[tex]m\angle DBC=30^\circ[/tex]
And,
[tex]m\angle ABC=(3x)^\circ+(x+20)^\circ[/tex]
[tex]m\angle ABC=(4x+20)^\circ[/tex]
[tex]m\angle ABC=(4(10)+20)^\circ[/tex]
[tex]m\angle ABC=(40+20)^\circ[/tex]
[tex]m\angle ABC=60^\circ[/tex]
Therefore, [tex]m\angle DBC=30^\circ,m\angle ABD=30^\circ[/tex] and [tex]m\angle ABC=60^\circ[/tex].
For the function F defined by F(x) = x2 – 2x + 4, find F(| – 4|)
A. 28
B. 12
C. 8
D.4
Answers
Solve for X, Round to the nearest 10th of a degree if necessary 43 87
Answers
Answer:
x° ≈ 60.4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x°
Adjacent Leg = 43
Hypotenuse = 87
Step 2: Solve for x
Substitute in variables [cosine]: cos(x°) = 43/87Inverse Trig: x° = cos⁻¹(43/87)Evaluate: x° = 60.3795Round: x° ≈ 60.4The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
Answers
Answer:
$425.6 should be budgeted for weekly repairs and maintenance.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean $400 and standard deviation $20.
This means that [tex]\mu = 400, \sigma = 20[/tex]
How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 400}{20}[/tex]
[tex]X - 400 = 20*1.28[/tex]
[tex]X = 425.6[/tex]
$425.6 should be budgeted for weekly repairs and maintenance.
No spaces in your answer boxes.
If x is our variable, write an algebraic expression for the following statement.
"the number of cents in 'x' dimes"
Answers
Answer:
Number of Cents = 10x
Step-by-step explanation:
Since w
Since we know that there are 10 cents in a dime, the amount of cents in an unknown quantity of dimes is 10 * the number of dimes.
Therefore the number of cents in x dimes is 10x
Which scenario depicts two independent events?
The school play opens tonight and it is raining.
Neva is hungry and she buys a snack from the concession stand.
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
Luka paints during school and he stains his shirt.
Answers
Neva is hungry and she buys a snack from the concession stand event is independent.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.
Based on this definition, the scenario that depicts two independent events is Neva is hungry and she buys a snack from the concession stand.
The fact that Neva is hungry and decides to buy a snack from the concession stand is not affected by any other event.
The occurrence of one event (Neva buying a snack) does not affect the probability of the other event occurring.
Therefore, the Neva is hungry and she buys a snack from the concession stand. event is independent.
To learn more on probability click:
https://brainly.com/question/11234923
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A bicycle has a cash price of $319.95. It can be bought on hire purchase with a deposit of $69 and ten monthly installments of $28.50 each.
a. what is the total hire purchase price of the bicycle?
b. Find the difference between the hire purchase price and the cost price of the bicycle.
Answers
Answer:
a. $354
b.$34.05p
Step-by-step explanation:
10 monthly instalments
10x28.5=280
plus the deposit 280+69=354
The difference between 354 and 319.95 is 34.05
a. The total hire purchase price of the bicycle is $354.
b. The difference between the hire purchase price and the cost price of the bicycle is $34.05.
a. Total hire purchase price:Total hire purchase price=(10 months×$28.5)+$69
Total hire purchase price=$285+$69
Total hire purchase price=$354
b. Hire purchase price and cost price:Difference=$354-$319.95
Difference=$34.05
Inconclusion the total hire purchase price of the bicycle is $354 and the difference between the hire purchase price and the cost price of the bicycle is $34.05.
Learn more about hire purchase price here:https://brainly.com/question/24730392
Jude studied a total of 20.5 hours over a period of 5 days. On average, how many hours did Jude study each day
Answers
Answer:
4.1 hours each day
Step-by-step explanation:
20.5 ÷ 5
= 4.1
Therefore 4.1 hours was spent on studying each day.
(2x–y)²–(y+2)²-----------
Answers
Answer:
4x² -4xy -4y -4
Step-by-step explanation:
[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
In this case, a= 2x -y and b= y +2.
(2x -y)² -(y +2)²
= (2x -y +y +2)[2x -y -(y +2)]
= (2x +2)(2x -y -y -2)
= (2x +2)(2x -2y -2)
= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)
= 4x² -4xy -4x +4x -4y -4
= 4x² -4xy -4y -4
Alternatively, start by expanding the brackets.
[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]
[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]
(2x -y)² -(y +2)²
= 4x² -4xy +y² -(y² +4y +4)
= 4x² -4xy +y² -y² -4y -4 (expand)
= 4x² -4xy -4y -4 (simplify)
Need help of this!! Domain and range!!!
Answers
Answer:
third one....domain starts negative (-7/3)
and range starts at -5
Step-by-step explanation:
Find the Area of the shaded region of the circle. Leave answers in terms of Pi. (Image attached). Thank you!!!
Answers
Answer:
I've attached the Answer
Answer:
56Pi
Step-by-step explanation:
Area of small circle:
Pi*r^2
25Pi
Area of large circle:
Pi*r^2
81Pi
Area of the 2D doughnut :
Large -small circle = 81Pi-25Pi
The lines below are parallel.if the slope of the green line is -2, what is the slope of the red line?
Answers
Answer:
-2
Step-by-step explanation:
If given lines are parallel, their slope must be equal. Therefore, the slope of the red line is also -2.
[tex]\sqrt{75x^{7} }[/tex] simplified
Answers
Answer:
Step-by-step explanation:
Prime factorize 75
[tex]\sqrt{75x^{7}}=\sqrt{5*5*3* x * x * x * x * x * x *x}\\\\ =5*x *x *x \sqrt{3x}\\\\= 5x^{3}\sqrt{3x}[/tex]
can you plz answer plz!?
Answers
Answer:
1. mode
2. median, mode, mode interval
3. stem and leaf graph
4. not sure (try using a median calculator)
5. 80 or 90 (not exactly sure)
Step-by-step explanation:
10.)A child-sized swimming pool can be modeled by a cylinder. The pool has a diameter of 6 1/2 feet and a height of 12 inches. The pool is filled with water to 2/3 of its height. Determine and state the volume of the water in the pool, to the nearest cubic foot. One cubic foot equals 7.48 gallons of water. Determine and state, to the nearest gallon, the number of gallons of water in the pool.
Answers
Answer:
165.47≈165 Gallons of Water
Step-by-step explanation:
According To the Question,
Given, A child-sized swimming pool can be modeled by a cylinder. The pool has a diameter of 6 1/2 feet (or) 6.5 feet (radius is 3.25 feet) and a height of 12 inches(1 feet).The pool is filled with water to 2/3 of its height (H= 2/3 feet) .
Volume of Cylinder = π×R²×H , now put values, we get
Volume = 3.14×3.25²×2/3
Volume = 22.122 foot³ .
And, One cubic foot equals 7.48 gallons of water
Thus, 22.122 cubic foot equals to 165.47≈165 gallons of water .
One of the numbers below has the same value as 3.5 x 10-3.
1. 35 x 10^4
2. 3.5 x 10^3
3. 0.00035
4. 3500
Answers
Answer:
3. 0.00035
Step-by-step explanation:
15 points please explain it to me add the answer and the work since I’m so confused on when to subtract missing lengths where and when
Answers
You didn't specify what the question was. However, I am going to assume you are looking for the missing side of the shape.
Let's call the left side "Side A" and the right side "Side B". One is longer than the other side. In this case, Side B is longer than Side A. To find the missing length, you will need to subtract Side A from Side B
Side B - Side A = Missing side
16 - 13 = 3
Therefore, the length of the missing side is 3.