ΔABC is an equilateral triangle with AD perpendicular to BC. Prove that ΔADB ≅ ΔADC.
Step-by-step explanation:
An equilateral triangle means all sides are congruent.
AB≅BC≅AC
All angles are also congruent.
∠ABC≅∠BCA≅∠CAB
AD being perpendicular makes it a bisector of both BC and ∠CAB.
BD≅CD
∠BAD≅∠CAD
Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.
1) ASA (one of the possible ASA combinations)
∠ABD ≅ ∠ACD because this is an equilateral triangleBD ≅ CD because AD bisects BC∠BDA ≅ ∠CDA because AD is perpendicular to BC, both 90°2) HL (again, one of the multiple possible HL combinations)
AD is perpendicular to BC, creating 2 right trianglesAB ≅ AC because ΔABC is equilateralAD ≅ DA by the reflexive property, it is congruent to itselfThere are many more but I won't write them all out.
How do you solve (x+4)2 ?
Answer:
Simplify the expression.
x2+8x+16
Step-by-step explanation:
solve the questions
Answer:
1
Step-by-step explanation:
= 21/21
= 1
Answer:
90
Step-by-step explanation:
let the number to be found be x then
23 [tex]\frac{1}{3}[/tex] % of x = 21 ( change mixed number to improper fraction )
[tex]\frac{\frac{70}{3} }{100}[/tex] x = 21
[tex]\frac{70}{300}[/tex] x = 21 ( multiply both sides by 300 to clear the fraction )
70x = 6300 ( divide both sides by 70 )
x = 90
Then 23 [tex]\frac{1}{3}[/tex] % 0f 90 = 21
Mr. Smith and Mr. Kelly are business partners they agreed to divide the profits in the ratio of 3 to 2 the profit amount of 24,000 how much did each person receive
Answer: Mr. Smith makes 14,400, Mr. Kelly makes 9,600
Step-by-step explanation: First add the ratio together. 3+2=5.
Then divide 24,000 into five parts, 24,000/5 = 4,800.
After getting 4,800, multiply 4,800 by 3 to get Mr. Smith's portion of the money received. 4,800 x 3 = 14,000.
And you can do the same for Mr. Kelly but use 2 instead of a 3.
4,800 x 2 = 9,600
To check your work you can add the two answers together
9,600 + 14,400 = 24,000.
The school is 3.65 miles from Tonya house and 1.28 miles from Jamals house. How can you use a quick picture to solve this problem.
Answer:
more info so i can help
Step-by-step explanation:
please
Please help i will give brainliest :)
write the equation of the line that passes through the points (2 , -1) and has a slope of - 3
Answer:
y=-3x+5
Step-by-step explanation:
y=mx+b
m=slope or gradient (=-3)
y=-3x+b
Add your points
(2, -1)
-1=(-3 x 2)+b
-1= -6+b
-1+6=b
b=5
y=-3x+5
Answer:
[tex]\boxed {\boxed {\sf y= -3x+5}}[/tex]
Step-by-step explanation:
We are asked to find the equation of the line that passes through the point (2, -1) and has a slope of -3.
We are given a point and the slope, so we can use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
In this formula, m is the slope and (x₁, y₁) is the point the line passes through.
The line has a slope of -3 and passes through (2, -1).
m= -3 x₁= 2 y₁= -1Substitute the values into the formula.
[tex]y--1= -3 (x-2)[/tex]
[tex]y+1= -3 (x-2)[/tex]
Distribute the -3 on the right side. Multiply each term inside the parentheses by -3.
[tex]y+1 = (-3*x) + (-3*-2)[/tex]
[tex]y+1=(-3x) + (6)[/tex]
[tex]y+1=-3x+6[/tex]
Subtract 1 from both sides of the equation to isolate the variable y.
[tex]y+1-1=-3x+6-1[/tex]
[tex]y=-3x +5[/tex]
The equation of the line is y= -3x+5.
Help please just this whoever answers correctly I will mark brainliest
3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late.
B. Make a table to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.
Answer: for question number 3 is 3.50+.15f
Step-by-step explanation:
Jason compares the price of oranges at 4 stores,
Kroger is selling oranges at $1.52 for 4 oranges.
Publix is selling 5 oranges for $175, Ingles is
selling oranges at $1.02 for 3 oranges, Walmart
is selling 6 oranges for $2.46. Which store has
the best price?
Answer/Step-by-step explanation:
To Find the best price divided each
Kroger → 1.52/4=0.38
Publix → 175/5=35
Ingles → 1.02/3=0.34
Walmart → 2.46/6=0.41
Base on the data we can tell that Ingles have the best price.
Which of the following has 104.0032 in written form?
A. one hundred four thirty-two ten-thousandths
B. one hundred four and thirty-two ten-thousandths
C. one hundred four and thirty-two thousandths
D. one hundred four and thirty hundredths two ten-thousandths
One hundred and four point zero zero three two.
- BRAINLIEST answerer
Answer:
C.one hundred four and thirty two thousandth
the nth The nth term of a sequence is n-4 what is the tenth term
Step-by-step explanation:
the nth term is n-4, so the 10th term (that means n = 10) is then 10-4 = 6
n-4 is the rule of the sequence.
Simply replace "n" with a number and solve your equation.
For example, if you are finding the 5th term, you do it like this:
= n - 4
= (5) - 4
= 1
Now, as you asked, the tenth term:
= n - 4
= (10) - 4
= 6
During winter vacation the 5 member of the scott family went on vacation to a ski resort. They drove 336 miles in 7 hours. What was their averge speed?
Answer:
48 miles/hour
Step-by-step explanation:
(336 miles)/(7 hours) = 48 miles/hour
Answer:
the average speed is 336 devided by 7 then you get the answer
Find two integers whose sum is -12 and product is 35
Answer:
-5;-7
Step-by-step explanation:
Start with the product. 35 is either 35x1, 7x5, or the product of their opposites. 35 and 1 doesn't work for the sum, neither does 7 and 5. Let's go negative. -35 and -1 gives -36, so it has to be -7 and -5, which is indeed, correct.
What is the quotient?
126 divided by 7
A. 18
B.16
C. 19
D. 17
Answer:
A
Step-by-step explanation:
I know that 20 times 7 is 140 and if I take away 2 sevens that leaves 126. So 126 \div 7 = 18
Answer:
A. 18
Step-by-step explanation:
I took a photo of my work I didn't know how I could type that here
Tell me if I'm wrong :)
Janet raised $90 of her $60 goal. What percent of her original goal did Janet raise?
Answer:
50% of Her Original goal
Step-by-step explanation:
What is x in : f(x)=7?
I think the answer would be "X=1"
(Sorry if I'm wrong)
I would like to know if somebody could help me on this math problem.
Answer:
$288
Step-by-step explanation:
.04 * 7,200= 288
Commission multiplied by Stocks sold= Answer
Hope this helps :)
Suchitra works at the local supermarket. She gets paid $22.50 per hour. Her time card
is shown below
Day In Out
Monday 9:00 a.m. 5:00 p.m.
Tuesday 9:00 a.m. 6:00 p.m.
Wednesday 8:30 a.m. 5:30 p.m.
Thursday 9:00 a.m. 4:30 p.m.
Friday 9:00 a.m. 4:00 p.m.
a How many hours did Suchitra work this week?
b .Find her weekly wage
Answer: she worked 31 hours ( I believe so)
Step-by-step explanation: hope that helps
The sales tax rate is 10% if ruby buys a toaster priced at 34.72 what will be the total cost including tax
Answer:
38.192
Step-by-step explanation:
34.72x(1+0.1)=38.192
Will give brainliest!
Answer:
1.) 1 1/3
2.) 6/7
Step-by-step explanation:
1.) 16/12 = 4/3 = 1 1/3
2.) Add the numerators if the denominators are the same already
Answer:
1. 1 1/3
2. 6/7
3. 1 1/4
Step-by-step explanation:
For the first one, the question is to reduce 16/12. So we need to see how many 12's there are in 16 --> 1. Because 16 - ( 12 · 1 ) = 4. We can't fit another 16 in four! Therefore the answer is 1 4/12 because the remainder that we solved above is 4. It can be simplified to 1 1/3.
5/7 + 1/7 is 6/7 because the denominator of the fractions are the same all you have to do is add the numerators together and leave the denominator 7:
5 1 6
----- + ------ = -------
7 7 7
To reduce 25/20 all you have to do is see how many 25's are in 20. Which is 1. 25 - ( 20 · 1 ) = 5. But there is still 5 left over so it would be: 1 5/20. Which can be simplified as 1 1/4
HOPE THIS HELPS :)
hat is an equation of the line that passes through the point (4,-6) and has a slope of -3?
1. y=-3x + 14
2. y=-3x + 6
3. y=-3x - 6
4. y = -3x + 10
Answer:
2
Step-by-step explanation:
y=-3x+6
It costs $22 to enter an amusement park and $0.50 to ride a ride. You have $23. Write an equation that represents the number r of rides you can ride.
Answer:
21.50 + 0.25r = 22.25
Step-by-step explanation:
Thats ur equationnn
Help me guys!
Fill in the table using this function rule.
y = -2x+3
19x+5+16x=180
I need help with this I don’t understand
Hello!
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19x+5+16x=180
First, add the x's together:
35x+5=180
Now, subtract 5 from both sides:
35x=180-5
35x=175
Divide both sides by 35 to isolate x:
x=5
Hope you find my answer helpful! Please give the crown if you do! (:
~SparklingFlower
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Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The standard deviation is know to be σ = 12. Find a 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies. Round the numbers in your interval to the nearest whole number.
Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 146[/tex]. Population standard deviation of [tex]\sigma = 12[/tex]. Sample size of [tex]n = 65[/tex].The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]
The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
A similar problem is given at https://brainly.com/question/16807970
Ritta purchased a package of stickers. She noticed 4 out of every 5 stickers where purple. Which table shows the relationship between the number of purple stickers, p, and the total number of stickers, t?
Answer:
4:5
Step-by-step explanation:
I don't see the table but since it is 4 out of every 5 stickers are purple, the ratio would be 4:5, 4/5, or 4 to 5. It doesn't really matter, because all of these mean the same thing.
Tell me if I'm wrong :)
I'm taking the ssat upper level on December 11th and really need help with the math section. Are there any tips or help that can be provided?
Answer:
1, Stay calm
2, be confident
3, if you know the type of questions they are gonna ask practiece those type of questions
Also good luck
2. The width of a rectangle is 8 more inches than the length. The perimeter is 56 inches.
Find the length and the width.
Answer:
length=10inches
width=18inches
Step-by-step explanation:
length=x
width=x+8
perimeter=2l+2b
56=2x+2(x+8)
56=2x+2x+16
56-16=4x
4x=40
x=40/4
x=10
37.4786 rounded to nearest hundredth
Answer:37.48
Step-by-step explanation:
For 250 points and brainiest......
Order the following number from least to greatest
1. -7, 0, -5
2. -3, -2, 10
3. -18.5, 18, -12.5
4. 26, -20, -24.5
Answer:
1.) -7,-5,0
2.)-3,-2,10
3.)-18.5,-12.5,18
4.)-24.5-20,26
Step-by-step explanation:
Here is the order
-7<-5<0#2
-3<-2<10#3
-18.5<-12.5<18#4
-24.5<-20<26