9514 1404 393
Answer:
14°
Step-by-step explanation:
∠ADP is an external angle to ΔDBP, so ...
∠ADP = ∠DBP + ∠DPB
107° = 45° + ∠DPB
∠DPB = 107° -45° = 62°
∠DPB is an external angle to isosceles triangle PBC, so ...
∠DPB = 2×∠PBC
62° = 2×∠PBC
∠PBC = 62°/2 = 31°
Of course, the angle sum theorem applies at vertex B, so ...
∠ABC = ∠ABP +∠PBC
∠ABC = 45° +31° = 76°
AP is the angle bisector of angle A, so, if extended to BC would be perpendicular to BC. Then ∠BAP is complementary to ∠ABC:
∠BAP = 90° -∠ABC
∠BAP = 90° -76°
∠BAP = 14°
Final answer:
m∠BAP = 124°
Explanation:
Given that △ABC is an isosceles triangle with AC = AB and DB = EC, we can conclude that △ADC and △AEB are congruent triangles by the Side-Angle-Side (SAS) congruence theorem. Therefore, m∠ADC = m∠AEB. Since m∠ADC = 107° and m∠AEB = 45°, we can write:
m∠ADC = m∠AEB
107° = 45° + m∠ABD
m∠ABD = 107° - 45°
m∠ABD = 62°
Since △ABD is isosceles with AB = AD, we have m∠ABD = m∠ADB. Therefore, m∠ADB = 62°. Since m∠BAP is an exterior angle of △ABD, we can apply the Exterior Angle Theorem to find:
m∠BAP = m∠ADB + m∠ABD
m∠BAP = 62° + 62°
m∠BAP = 124°
Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.
Answer:
sin 70= x/8
Step-by-step explanation:
Opposite of 70 degrees is x and the hypotenuse is 8.
Sin is opposite over hypotenuse
Therefore, sin 70=x/8
A triangle has angles that measure 55°, 43°, and 82°. What kind of triangle is it?
A. obtuse
B. right
C. acute
Answer:
c. acute
Step-by-step explanation:
all angles are less than 90 degrees, so it is acute
solve the equation x-8=3x
Answer:
x = -4
Step-by-step explanation:
x - 8 = 3x
First, subtract x from both sides:
x - 8 = 3x
-x - x
________
-8 = 2x
Then, divide both sides by 2:
-8 = 2x
-4 = x
How many solutions does this linear system have?
y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2
6x – 4y = –10
one solution: (–0.6, –1.6)
one solution: (–0.6, 1.6)
no solution
infinite number of solutions
Answer:
one solution: (–0.6, 1.6)Step-by-step explanation:
Given the system of equation,
y = [tex]\frac{2x}{3}+2[/tex]...(1)
6x – 4y = –10 ...(2)
Substituting equation 1 into 2 we have;
6x - 4(2x/3 +2)= -10
6x -8x/3 -8 = -10
Multiplying through by 3;
18x-8x-24=-30
10x=-30+24
10x = -6
Dividing both sides by 10
10x/10 = -6/10
x = -0.6
Substituting x = -0.6 into equation 1 to get the value of y we have;
y = 2(-0.6)/3 + 2
y = -1.2/3 + 2
y = -0.4+2
y = 1.6
This shows that the linear equation has only one solution. The solution is
x = -0.6 and y = 1.6
Answer:
its b
Step-by-step explanation:
hope this helped
Which expression has a term with a coefficient greater than 1?
A. M - 5 x3
B. 5/6m + 3
C. 5 + m
D. 5 + 3m
Answer:
D
Step-by-step explanation:
I'm sorry, but I don't know what option A is.
However, we are asked which expression has a coefficient greater than one. A coefficient is a number in front of a variable. D is the only one with a coefficient GREATER than 1, so that is the answer.
You can tell me if I did anything wrong! :)
In a clothing store, 75% of the customers buy a shirt, 20% of the customers buy a pair of pants, and 15% of the customers by both the shirt and a pair of pants. If a customer is chosen at random what is the probability that he or she buys a shirt or a pair of pants?
Answer:
80%
Step-by-step explanation:
75% + 20% - 15% = 80%
The probability is 80%
The probability that he or she buys a shirt or a pair of pants is 80%.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that in a clothing store, 75% of the customers buy a shirt, 20% of the customers buy a pair of pants, and 15% of the customers buy both the shirt and a pair of pants.
The percentage of customers who buy only shirt = 75% - 15% = 60%
The percentage of customers who buy only pant= 20% - 15% = 5%
The percentage of customers who buy both = 15%
Now, the probability that he or she buys a shirt or a pair of pants is,
Probability = 60% + 5% + 15% = 80%
Hence, the probability that he or she buys a shirt or a pair of pants is 80%.
Learn more about Probability:
https://brainly.com/question/795909
#SPJ2
I NEED HELP PLZ!!!! It’s important!
Answer: 24x^3 sqrt5x -4x^3 sqrt10x
Step-by-step explanation:
Show in the photo attached.
Jose sells 12 cars 8 months if this trend continues how many cars can he expect to sell in 29 months
Answer:
He can expect to sell 43 more cars.
Step-by-step explanation:
So far he has 1.5 cars per month 12/8=1.5
If he continues this for 29 months 29x1.5=43.5
He will sell 43 cars
Hope this helps :)
Iceberg lettuce is grown and shipped to stores for about 50 cents a head, and consumers purchase it for about 120 cents a head. Find the percent increase.
ANSWER FAST PLEASE
Final answer:
The percent increase in the price of iceberg lettuce is 140%.
Explanation:
To find the percent increase, we need to calculate the difference between the price at which iceberg lettuce is grown and shipped and the price at which consumers purchase it, and then divide that difference by the original price and multiply by 100.
Let's start by finding the difference:
Difference = Consumer price - Production price
Difference = 120 cents - 50 cents = 70 cents
Now, let's calculate the percent increase:
Percent Increase = (Difference / Production price) * 100
Percent Increase = (70 cents / 50 cents) * 100 = 140%
Given: y=x^2-4x-12
A.) determine the roots/zero
(By factoring & setting the answer equal to zero)
B.) use h=-b/2a to get vertex
Answer:
see below
Step-by-step explanation:
y=x^2-4x-12
Set equal to 0 to find the zeros
0 =x^2-4x-12
Factor. What 2 numbers multiply to -12 and add to -4
-6*2 = -12
-6+2 = -4
0= (x-6) (x+2)
Using the zero product property
0=x-6 0 = x+2
x=6 x = -2
zeros: -2,6
Vertex
h = -b/2a = - (-4)/ 2(1) = 4/2 = 2
OR Average the roots (-2+6)/2 = 4/2 =2
The y coordinate is found by substituting into the equation
y = (2)^2 -4(2) -12
y = 4-8-12
y =-16
vertex : (2, -16)
Answer:
x = -2, 6
Vertex: (2,-16)
Step-by-step explanation:
x² - 4x - 12
x² - 6x + 2x - 12
x(x - 6) + 2(x - 6)
(x - 6)(x + 2) = 0
x = -2, 6
h = -(-4)/2
h = 4/2
h = 2
k = 2² - 4(2) - 12
k = 4 - 8 - 12
k = -16
Vertex: (2,-16)
a sightseeing bus picks up a group of tourists at a hotel. it then travels 2 blocks north, 2 blocks eats , 1 block south,2 blocks east, and 1 block south. describes where the bus is in relation to the hotel.
(*It would mean a lot if you could answer*)
Answer:
the hotel is four blocks west from the bus; the bus is four blocks east from the hotel.
The bus is 4 blocks east of the hotel.
Since a sightseeing bus picks up a group of tourists at a hotel, and it then travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south, to determine where the bus is in relation to the hotel, the following calculation must be carried out:
North and South are antagonistic, the same as East and West 2 N + 2 E - 1S + 2E - 1S 2 N - 2S = 0 2E + 2 E = 4E
Therefore, the bus is 4 blocks east of the hotel.
Learn more in https://brainly.com/question/17249312
A craftsman can sell 10 jewelry sets for $500 each. He knows
for each additional set he makes, the price of each set will decrease by $25. Hoy
many jewelry sets should he make if he wants to maximize his earnings?
jewelry sets
Answer:15
Step-by-step explanation:
Given
Craftsman sell 10 Jewelry set for $500 each
For each additional set he will decrease the price by $ 25
Suppose he sells n set over 10 set
Earning[tex]=\text{Price of each set}\times \text{no of set}[/tex]
Earning [tex]=(500-25n)(10+n)[/tex]
[tex]E=5000+500n-25n^2-250n[/tex]
differentiate to get the maximum value
[tex]\frac{dE}{dn}=-50n+250[/tex]
Equate [tex]\frac{dE}{dn}[/tex] to get maximum value
[tex]-50n+250=0[/tex]
[tex]n=\frac{250}{50}[/tex]
[tex]n=5[/tex]
Thus must sell 5 extra set to maximize its earnings.
Lily offers embroidery services at her clothing store. She charges $2 for every letter plus a $6 setup fee. Which graph represents the cost of Lily's embroidery services?
Answer:
Ok so the way i see it lily would take $2 and $6 and multiply it by the price of the item say someone walks in and buy's a 5 letter's she'd first multiply 2x5 = 10 and then she'd multiply 6x5= 30 add the two 30 + 10 = 40. If it isn't to much can you give me brainliest? if not a simple thanks will do!!!
~~ Night
Answer: lily would take $2 and $6 and multiply it by the price of the item say someone walks in and buy's a 5 letter's she'd first multiply 2x5 = 10 and then she'd multiply 6x5= 30 add the two 30 + 10 = 40. Brainliest?
Please help me with answer I need help now
Answer:
7 + 2, i cant see the full question so im not sure
Step-by-step explanation:
Determine which equation is belongs to the graph of the limacon curve below.
[-5,5] by [-5,5]
We have been given graph of a limacon curve. We are asked to choose the equation that represents the given Limacon.
We can see that our given equation represents a cardiod. The equation of a vertical cardiod is in form [tex]r=a\pm a\cdot \text{sin}(\theta)[/tex] and equation of a horizontal cardiod is [tex]r=a\pm a\cdot \text{cos}(\theta)[/tex].
We can see that our given graph is a vertical cardiod, so its equation will be in form [tex]r=a\pm a\cdot \text{sin}(\theta)[/tex] .
The positive sign gives an upside-down cardiod and negative sign orients the cardiod upright.
Since our given graph is upright, so we will have a negative sign between 'a'.
Therefore, the equation [tex]r=2-2\cdot \text{sin}(\theta)[/tex] represents the given graph and option 'd' is the correct choice.
Answer:
C on edge 2022
Step-by-step explanation:
A farmer plants corn and soybeans. This model shows the area reserved for each.
A model with 4 rows of 5 squares that represent corn and 4 rows of 3 squares that represent soybeans. Corn is 20 acres and soybeans is 12 acres.
(sorry theirs no picture)
Which expression is equivalent to the sum of the two areas?
4(5)(3)
5(4 + 3)
4(5 + 3)
(4 + 5)(4 + 3)
Answer:
C) 4 (5+3)
Step-by-step explanation:
3. Liam has a rectangular back
yard. He measured one side of the
yard and found it to be 85 feet and its
diagonal to be 117 feet. Determine, to
the nearest tenth of a foot, the length
of the other side of his back yard
Answer:
Length of the other side of the backyard is 80.4 feet.
Step-by-step explanation:
Let the dimensions of the Liam's rectangular backyard = 85 feet × a feet
Diagonal of the rectangle, AD = 117 feet
When we apply Pythagoras theorem in ΔABD,
AD² = AB² + BD²
(117)² = (85)² + BD²
a² = 13689 - 7225
a = √6464
= 80.399 feet
a ≈ 80.4 feet
Therefore, length of the other side of the backyard is 80.4 feet.
Wich fraction is the largest? 8/6 8/4 9/6 5/7 6/9
Answer:
8/4
Step-by-step explanation:
8/4 is equal to 2 and the others equal less than 1 1/2 and 2
Answer:
8/4
Step-by-step explanation:
8/4 is 2
8/6 is 1.333
9/6 is 1.5
5/7 is .7142
6/9 is .666
Which set of drivers are progressing at the same pace
I dont know anything about these set of drivers
Each of two urns contains green balls and red balls. Urn I contains 10 green balls and 14 red
balls. Urn II contains 4 green balls and 11 red balls. If a ball is drawn from each urn, what is
P(red and red)?
A.1/9
B.25/39
C.79/60
D.77/180
The probability of drawing a red ball from both urns is found by multiplying the probability of drawing a red ball from Urn I by the probability of drawing a red ball from Urn II. After simplification, the probability is [tex]\(\frac{77}{180}\)[/tex], which corresponds to answer choice D.
To calculate the probability of drawing a red ball from each of two urns, we must first determine the probability of drawing a red ball from Urn I, and then multiply that by the probability of drawing a red ball from Urn II. In Urn I, there are 14 red balls and a total of 24 balls (10 green + 14 red). So, the probability of drawing a red ball from Urn I is [tex]\(\frac{14}{24}\)[/tex].
In Urn II, there are 11 red balls and a total of 15 balls (4 green + 11 red). Hence, the probability of drawing a red ball from Urn II is [tex]\(\frac{11}{15}\)[/tex].
The joint probability of two independent events is the product of their individual probabilities, so to find the probability of drawing a red ball from both urns (P(red and red)), we multiply the two probabilities:
[tex]\(P(red \,\text{from Urn I}) \times P(red \,\text{from Urn II}) = \frac{14}{24} * \frac{11}{15}\)[/tex].
To simplify the calculation:
Simplify [tex]\(\frac{14}{24}\) to \(\frac{7}{12}\)[/tex].Multiply [tex]\(\frac{7}{12}\) by \(\frac{11}{15}\)[/tex].[tex]\(\frac{7}{12} \times \frac{11}{15} = \frac{77}{180}\)[/tex].Therefore, the correct answer is D. 77/180.
If angle B measures 120 degrees, find
the Q
A.30 degrees
B.60 degrees
C.120 degrees
D.90degrees
Answer:
C. 120°
Step-by-step explanation:
There are two paralell lines, one is part of Angle B, and the other of Angle Q. Then there is a diagonal line, coming at the same angle from B all the way to Q, because the other two lines are paralell. It basically means if you were to slide the flat line which is connected to Q up the diagonal line, it would fit perfectly with it's parallel. So the two angles; Angle B and Angle Q; are the exact same.
Hope this helped! Good luck with future math problems :)
Answer:
The answer for this question is 120 degrees
Step-by-step explanation:
The statue of Liberty stands on a 150 ft. pedestal. From a point 250 ft. from the base of the
pedestal, the angle of elevation to the top of Liberty's torch is 50°. Find the height of the Statue
of Liberty
how do i do it?
Answer:
148ft
Step-by-step explanation:
To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.
Assuming the height from the pedestal to the top of the torch is y
The height of the statue is x
But we know the height of the pedestal = 150ft
The distance from the observer to the base of the pedestal = 250ft
And the angle of elevation = 50°
See attached document for better illustration.
Tanθ = opposite / adjacent
θ = 50°
Adjacent = 250
Opposite = y
Tan50 = t / 250
y = 50 × tan50
y = 50 × tan50
y = 50 × 1.1917
y = 297.925ft
The height of the statue from the base of the pedestal to the top of the torch is 297.925ft
The height of the statue = x
x = (height of the statue + height of the pedestal) - height of the pedestal
x = y - 150
x = 297.925 - 150
x = 147.925ft
Approximately 148ft
The height of the statue is 148ft
hiya! any help is appreciated!
what type of triangle is abc
Answer:
Isosceles triangle.
Step-by-step explanation:
You are given 6 color cards: 1 red, 2 blue, 3 green. As you draw a card, YOU WILL KEEP IT. What is the probability of drawing a green card, green card, and finaly a yellow card?
Answer:
3/6, 2/5, 0/5
Step-by-step explanation:
Choose three types of taxes local governments may impose.
sales tax
personal property
real property
estate tax
Three types of taxes local governments may impose are Sales Tax , Personal Property and Real Property. Correct answer: A, B and C.
A sales tax is a consumption tax imposed by the government on the sale of goods and services. Personal property tax is levied annually against tangible personal property and due upon receipt of the tax bill.
Answer:
property tax
Step-by-step explanation:
:3
Helpppppppppppppppp !!!!!!!!!!!!!!!
Answer:
Should be $160
Step-by-step explanation:factorise 4p + 6pq
step by step
answer fully please, thank you.
Answer:
2p(2+3q)
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
GCF = 2p2p
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2p(4p/2p + 6qp/2p)
simplify each term in parentheses.
2p(2+3q)
Your answer is 2p(2 + 3q).
First we can start by finding common factors in the coefficients, 4 and 6. 4 and 6 are both divisible by 2, so we can pull this out as our first factor:
2(2p + 3pq)
Now we can look for common factors regarding p and q. Both terms include p, but only one includes q, which means we can also pull the p out as another factor:
2p(2 + 3q)
The expression inside the parentheses cannot be factored anymore, so this is the final factorisation.
I hope this helps!
why is this correct idkidkidkidkidkidk
Answer:
Step-by-step explanation:
because you go with you first answer bc its going to be right
Mr. Falcone’s pizza shop offers three sizes of pizza. The large pizza has a diameter 12 inches. What is the area of the large pizza in terms of pi ?
Answer:
37.68
Step-by-step explanation:
12 times 3.14
hope this helps
Answer:
113.04
Step-by-step explanation:
The diameter is 12 which means the radius is 6
The formula to find the area of a circle is A=π r²
r²=36
π=3.14
3.14×36=113.04
So your answer is 113.04