Answer:
(i) In △ABD and △ACD,
AB=AC ....(since △ABC is isosceles)
AD=AD ....(common side)
BD=DC ....(since △BDC is isosceles)
ΔABD≅ΔACD .....SSS test of congruence,
∴∠BAD=∠CAD i.e. ∠BAP=∠PAC .....[c.a.c.t]......(i)
(ii) In △ABP and △ACP,
AB=AC ...(since △ABC is isosceles)
AP=AP ...(common side)
∠BAP=∠PAC ....from (i)
△ABP≅△ACP .... SAS test of congruence
∴BP=PC ...[c.s.c.t].....(ii)
∠APB=∠APC ....c.a.c.t.
(iii) Since △ABD≅△ACD
∠BAD=∠CAD ....from (i)
So, AD bisects ∠A
i.e. AP bisects∠A.....(iii)
In △BDP and △CDP,
DP=DP ...common side
BP=PC ...from (ii)
BD=CD ...(since △BDC is isosceles)
△BDP≅△CDP ....SSS test of congruence
∴∠BDP=∠CDP ....c.a.c.t.
∴ DP bisects∠D
So, AP bisects ∠D ....(iv)
From (iii) and (iv),
AP bisects ∠A as well as ∠D.
(iv) We know that
∠APB+∠APC=180
∘
....(angles in linear pair)
Also, ∠APB=∠APC ...from (ii)
∴∠APB=∠APC=
2
180
∘
=90
∘
BP=PC and ∠APB=∠APC=90
∘
Hence, AP is perpendicular bisector of
Step-by-step explanation:
HOPE ITS HELP YOU
What is the equation of the line that passes through the point (-5,1)(−5,1) and has a slope of -\frac{1}{5}−5
Answer:
Step-by-step explanation:
I will interpret "-\frac{1}{5}−5" as -(1/5).
We'll look for an equation by starting with the slope intercept format of:
y = mx + b,
where m is the slope and b is the y-intercept (the value of y when x=0).
We are given the slope of -(1/5), I think.
The equation becomes y = -(1/5)x + b
We want to find a value of b that will force the line to go through point (-5,1). Do this by putting this point into the equation we have thus far:
y = -(1/5)x + b
1 = -(1/5)*(-5) + b [point (-5,1)]
1 = 1 + b
b = 0
The equation becomes y = -(1/5)x + 0, or y = -(1/5)x
See the attachment.
.
A pie company made 57 apple pies and 38 cherry pies each day for 14 days. How many apples pies does the company make in all?
How many cherry pies does the company make in all show your work ?
Answer:
798 Apple Pies 57x14
532 Cherry Pies 38x14
Step-by-step explanation:
Can you help me with this please.
Answer:
c, i believe!!
Step-by-step explanation:
have a good day! <33
Answer:
t = 6n
Step-by-step explanation:
6 divided by 1 = 6
a farm is sold for $457000, which gives a profit of 19%. Find the profit
Answer:
The profit is 86830
Step-by-step explanation:
To calculate percentage, just multiply the original number by the percent as a decimal. 457000x0.19=86830
Answer:
Profit: $73000
Step-by-step explanation:
Profit = Selling price (SP) - Cost price (CP)
First you need to find the CP
CP = (SP*100)/(100+Percentage profit)
SP= $457000
Percentage profit = 19%
CP= (457000*100)/(100+19)
CP= 45700000/119
CP= $384,033.6134
Profit = 457000-384,033.6134
Profit = $72966.3866
Profit rounded to the nearest 1,000 or the Thousands Place = $73,000
Hope this helps. Please give me the brainliest?
Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles per hour. Let x represent the distance Sherrod drives and y represent the distance Kamar drives.
a. Write an inequality that represents the miles that Sherrod and Kamar drive.
b. GIve 2 possible combinations of miles that Sherrod and Kamar can drive that satisfy the inequality.
The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.
a. The inequality that represents the miles that Sherrod and Kamar drives is; x + y ≤ 900b. Two possible combination of x and y are; (600, 300) and (300, 600)Reasons:
a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles
Sherrod's speed = 60 mph
Kamar's speed = 50 mph
The distance Sherrod drives = x
The distance Kamar drives = y
a. The miles driven by Sherrod and Kamar is given by the inequality;
x + y ≤ 900b. Two possible combinations are;
First possible combination;
Sherrod drives for 10 hours, which gives;
Distance Sherrod drives = 60 mph × 10 hour = 600 miles
Kamar drives for 900 miles - 600 miles = 300 miles
Which gives;
Sherrod drives for 600 miles and Kamar drives for 300 miles
First combination; (600, 300)Second possible combination;
The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles
Second combination; (300, 600)Learn more about inequalities here:
https://brainly.com/question/22976364
HELP ASAP will give brainliest for answer
Answer:
This is the answer
x=π/10
PLS ANSWER QUICK I HSVE EXAMS COMING UP VERY SOON у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2
-5-4-3-
school lunches cost 35.50 per week. About how much would 15.5 week of lunches cost?
Since you go to school for 5 days a week, the answer is going to be 550.25 for 15.5 weeks.
Hope that helped?
Answer:
15.5 weeks of school lunch would cost $550.25
Step-by-step explanation:
The unit rate is already given here, so all you need to do here is multiply the cost per week by the number of weeks. You can even think of it as canceling out the weeks:
[tex]\frac{cost}{week}\times week=cost[/tex]
[tex]35.50\times15.5=550.25[/tex]
15.5 weeks of school lunch would cost $550.25
You could also write this as a linear equation with a slope of 35.5 and a y-intercept of 0:
[tex]y=35.50x[/tex]
Solve the system of equations using substitution?
Y=3x+1
Y+2=4x
nasa pick po yong answers
#CARRYONLEARNING
love y'all
Suppose that n is a positive number and Log10 n = q. Which expression always equals the value of Log10 n^2?
2q
Answer:
solution given:
[tex]log_{10} n=q[/tex]
now
[tex] Log_{10 }n^2=?[/tex]
by using property of logarithms
[tex]log_{a} n^p=p log_{a}n [/tex]
now
[tex] Log_{10 }n^2=2 Log_{10 }n[/tex]
=2q
since [tex]log_{10} n=q[/tex]
Step-by-step explanation:
Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger
Answer:
c if am wrong please correct me
A pilot flew a plane from an altitude of 16,400 feet to an altitude of 15,600 feet what was the change in altitude
Answer: 800 feet.
Step-by-step explanation: 16,400-15,600=800 this is an easier way the find the drop in altitude.
Josephina lives on a farm with 3 sheep, 2 goats, 11 chickens, and 5 cows. She is going to randomly select an animal to take to the stock show. What is the probability of randomly selecting a cow or a goat
Answer:
7/21 or 1/3
Step-by-step explanation:
Adding all the animals together, we get 21. Then we add just the cows and the goats and get 7. Then we do 7/21 = 1/3 simplified
NO LINKS!!!
Help please ;-;
And please answer all 1, 2, 3, 4 questions!
Choose the inequality that describes the following
____ 1. The set of numbers {‐3, ‐2, ‐1, 0, 1, ...}
A. x > ‐4
B. x < ‐4
C. x ≥ ‐4
D. x ≤ ‐4
____ 2. The set of numbers {9, 8, 7, …}
A. x > 9
B. x < 9
C. x ≥ 9
D. x ≤ 9
____ 3. The set of numbers {0, -2, -4, -6, -8, ...}
A. x > 0
B. x < 0
C. x ≥ 0
D. x ≤ 0
____ 4. The set of numbers {-6, -4, -2, 0, 2, 4, 6, ...}
A. x > ‐6
B. x < ‐6
C. x ≥ ‐6
D. x ≤ ‐6
1. A
2. D
3. D
4. C
(IF YOU NEED A EXPLANATION, JUST ASK!)
In \triangle KLM,△KLM, \overline{KL}\cong \overline{MK} KL ≅ MK and \text{m}\angle M = 43^{\circ}.m∠M=43 ∘ . Find \text{m}\angle L.m∠L.
Based on the definition of an isosceles triangle, the measure of angle L is: 43°
Recall:
An isosceles triangle has two side lengths that are equal in size, and also the angles opposite the equal sides are congruent.Given that KL ≅ MK in △KLM, it means △KLM is an isosceles triangle.
If m∠M = 43°, therefore, m∠M = m∠L (equal angles directly opposite KL and MK).
This implies that: m∠L = 43°
In summary, based on the definition of an isosceles triangle, the measure of angle L is: 43°
Learn more about isosceles triangle on:
https://brainly.com/question/11884412
Find the greatest common factor and the least common multiple of 16 and 20. The prime factorizations of each number are given.
.
Answer:
GCF 4, LCM 80
Step-by-step explanation:
Since both 16 and 20 have two 2s as factor, their greatest common factor is 4.
The LCM is found by multiplying all of the remaining factors by the LCM:
16 still has (2 x 2), 20 still has (5), times the GCF (4) so 2 x 2 x 5 x 4 = 80.
(If someone is online)pls help me to answer this question
Answer:
The correct answer is yes.
Step-by-step explanation:
I can help you. What do you need? :)
HELPPPP The volume for the above figure is
A. 7297 cm3
B. 817 cm2
C. 486 cm3
D. none
of the above
0.66 pts
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discount price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes?
Answer:
The price is $27.00
Step-by-step explanation:
First you find 40% of 60 which is 24.
Next you subtract 24 from 60 (60-24) which equals 36.
Then you find 25% of the discounted price (36) which is 9.
Finally you subtract 9 from 36 (36-9) which is 27.
Conclusion:
So therefore the answer is $27.00.
I don't care if I get brainlyist just glad I could help :)
someone help me with this still im stock on it plz
Answer:
a>4 or a < 8
Step-by-step explanation:
We can start with the inequality on the left
-a + 2(4+3a) > 28
expand using the distributive property
-a + 8 + 6a > 28
5a + 8 > 28
subtract 8 from both sides to isolate the variable and its coefficient
5a > 20
divide both sides by 5 to isolate a
a > 4
moving on to the inequality on the right
2a - (3a+4) > -12
treat the minus sign as a -1
2a + (-1)(3a+4) > - 12
expand
2a - 3a - 4 > - 12
-a - 4 > -12
add 4 to both sides to isolate a and its coefficient
-a > - 8
multiply both sides by -1 but change the sign because we are multiplying by a negative number
a < 8
Math help please
Thanks
A lot
Answer:
2 hours: 3968 [I don't understand the $ sign in the answer box]
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
Evaluate the expression when B = -4 and C = 6
C-8B
Which expression is equal to the expression below ( 6.9)5
Answer:
270 or 34.5
Step-by-step explanation:
1. (6.9)= 54
54x5= 270
2. 6.9x5= 24.5
Hopes This Helps :)
Combine like terms.
6p+ 15 + 10p - 9
A. 16p+ 6
B. 16p+ 24
Ос. бр +6
O D. 16p - 6
Answer:
i think A. 16p+6 is answer
Mrs. Jerry wants her twenty-five students to each have forty-eight buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are fifteen buttons in each bag. How many bags of buttons does Mrs. Jerry need to buy so she has exactly enough buttons for her twenty-five students? Show all your mathematical thinking.
Answer:
25X48=1200 buttons in all
1200 divided by 15 = 80
She needs to buy 80 bags which totals 1200 buttons
Step-by-step explanation:
- Are the lines y = -1 and x = 1 parallel?
Answer:
No the lines are perpendicular.
Step-by-step explanation:
The lines are perpendicular because x and y meet up and make a perpendicular line. If you don't believe me plug it in a graphing calculator.
Estimate and solve 2,352 ÷ 4 =
Answer
588 is the exact answer. Which is about 590 or 600.
Step-by-step explanation:
150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?
Answer:
150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?
Answer:
Less than 100? YES
Step-by-step explanation:
150% of 45 less than 100, greater than 100 but less than 150, or greater than 150?
"150% of 45 "
150% (45)
1.5*(45) = 67.5
Less than 100? YES
Greater than 100 but less than 150 NO
Greater than 150? NO
solve similar triangles (advanced)
Answer: 18/7
This approximates to 2.5714
=====================================================
Explanation:
The two triangles are similar. We can use the AA (angle angle) theorem to prove this claim.
Because [tex]\triangle ABC \sim \triangle ADE[/tex], this means:
side AB corresponds to side AD. The letters from AB are the first two letters of ABC while AD are the first two letters from ADE.side BC corresponds to DE. We have BC as the last two letters of ABC and DE the last two letters of ADEAs those bullet points above mention, the order of ABC and ADE matters to allow us to pair up the corresponding angles and corresponding sides.
From that, we can form the proportion below to solve for x
AB/AD = BC/DE
3/(3+4) = x/6
3/7 = x/6
3*6 = 7*x
18 = 7x
7x = 18
x = 18/7
You could convert this to the approximate decimal form 18/7 = 2.5714, but I think it's better to keep it as a fraction.
45 + 30 = 100 - w
Answer correctly luvs
Answer:
the answer is 25
Step-by-step explanation:
45+30=100-w
then your going to subtract 45 on both sides. So 100-45 is 55.
so now your equation looks like this
30 = 55 - w
subtract 55 on both sides so you will have -25 = -w. Then your going to divide -w on both sides and you will have positive 25
i hope thus helps