Step-by-step explanation:
1. You already got the first step, where D is the midpoint of AC and AB is congruent to BC, since it's given.
2. AD will be congruent to DC, via the definition of a midpoint (a midpoint is the middle point of a line segment, and it splits the segment into two congruent parts)
3. BD is equal to BD, via reflexive property. ( It's a shared side between the two triangles)
4. that means that ΔADB ≅ΔCDB via SSS rule.
5. ∠ABD ≅∠CDB by CPCTC (corresponding parts of congruent triangles are congruent)
Hope this helps! :)
Answer:
CDB is the longer bottom point so if you want to find the circumference or ≅ you have to find the ratio it would be the points CBD
Step-by-step explanation:
7/19% of a quantity is equal to what fraction of the quantity?
Answer:
36.84%
Step-by-step explanation:
and 0.3684
7/19% of a quantity expressed as a fraction of the quantity is [tex]\frac{7}{1900}[/tex].
Percentage is the fraction of a quantity expressed as a number out of hundred. For example 1% can be expressed as 1/100
A fraction is a number that consists of a numerator and a denominator. An example of a frication is [tex]\frac{7}{19}[/tex]. 7 is the numerator and 19 is the denominator.
In order to convert a percentage to a fraction, divide the fraction by 100
[tex]\frac{7}{19}[/tex] ÷ 100
= [tex]\frac{7}{19}[/tex] x [tex]\frac{1}{100}[/tex] = [tex]\frac{7}{1900}[/tex]
To learn more about percentages, please check: https://brainly.com/question/92258?referrer=searchResults
2x-4(x-1)=10
I keep getting -3 but I know it's not right
I do think that it is -3 tho
Answer:
Step-by-step explanation:
2x=10+4
2x=14
14/2 = 7
X=7
pls help with math!!!
Answer:
its b
Step-by-step explanation:
solve the equation 2x^2+11x=-12
Answer:
If we are solving for x the answer would be
-1.5,-4 (fraction form is -3/2, -4)
Step-by-step explanation:
Please help on this question
Answer:
I DONT SEE THE QUESTION
Step-by-step explanation:
answer 3x + 5 = 2x + 1
Answer:
3x+5=2x+1
3x-2x=1-5
x= -4
3x + 5 = 2x + 1 | subtract 2x on both sides
x + 5 = 1 | subtract 5 on both sides
x = -4 | final answer
the price of an article with 15% VAT is Rs 920. What will be the excluding VAT?
Ans:800
Answer:
AOA
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
please help also worth 10 points
Answer:
A.
D= 1 wy
5
D = 1 wy (cross multiplication)
1 5
wy= 5D ( cancel y to get w)
wy = 5D
y = y
w=5D
y
A bag contains 18 balls to green five black eight blue one brown one red and one white if 17 balls of a move from the bag at random what is the probability that a brown ball has been removed
Answer:
[tex]P(Brown) = 0.0556[/tex] or [tex]P(Brown) = \frac{1}{18}[/tex]
Step-by-step explanation:
Given
[tex]Total = 18[/tex]
[tex]Green = 2[/tex]
[tex]Black = 5[/tex]
[tex]Blue = 8[/tex]
[tex]Brown = 1[/tex]
[tex]Red = 1[/tex]
[tex]White = 1[/tex]
Required
Determine the probability of selecting a brown ball
This is calculated as thus:
[tex]P(Brown) = \frac{Brown}{Total}[/tex]
Substitute values for Brown and Total
[tex]P(Brown) = \frac{1}{18}[/tex]
The answer can be in fraction or solved further as;
[tex]P(Brown) = 0.0556[/tex]
Toilet rolls are sold in packs of 4.
How many toilet rolls are there in 9 packs?
Answer:
4 x 9 = 36 toilet rolls
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
1 pack = 4 rolls
9 packs = 4 rolls * 9 times = 36 rolls
Tori devotes all of her income to the consumption of peanut butter and jelly. She has just discovered that at her current level of consumption the marginal utility of a jar of peanut butter is 5 and the marginal utility of a jar of jelly is 7. Which statement is TRUE? a. To maximize her total utility, Tori should consume less of both goods. b. To maximize her total utility, Tori should consume more peanut butter and less jelly. c. To maximize her total utility, Tori should consume more of both goods. d. There is not enough information provided to justify a change in Tori's level of consumption.
To maximize her total utility, Tori should consume less of both goods statement is TRUE. Thus option A is correct.
What is marginal utility?The additional satisfaction a shopping experience from owning one extra unit of an item or a service is known as marginal utility. Economists utilize the idea of marginal utility to estimate the quantity of a good that buyers will purchase.
Progressive taxation are frequently defended using the law of diminished marginal utility. In the context of consumption, a jar of peanut butter has a marginal utility of 5, while a jar of jelly has a marginal utility of 7.
The purchaser should spend their income so that every penny spent on goods or services results in the same marginal benefit in order to get the most value. Therefore, option A is the correct option.
Learn more about marginal utility, Here:
https://brainly.com/question/14149928
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3 x 4/7 =.Pls help me fast i need the answer
Answer: 1.71428571429
Step-by-step explanation:
Answer:
12/7 or 1.71428
Step-by-step explanation:
3 × 4/7 = 12/7
What decimal is equivalent to 3/8
A. 0.38
B. 0.375
C. 3.8
D. 2.67
Answer:
0.375
Step-by-step explanation:
hope his helps, have a good day ! :)
lcm of 420 and 210
MATHS
Answer:
LCM = 420
Step-by-step explanation:
What is the LCM of 210 and 420?
Step 1:
Find the prime factorization of 210
210 = 2 × 3 × 5 × 7
Step 2:
Find the prime factorization of 420
420 = 2 × 2 × 3 × 5 × 7
Step 3:
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 3 × 5 × 7
Step 4:
The required LCM
LCM = 420
Therefore, we conclude that:
LCM = 420
can someone help me complete this
what does 4^2x-4=1 equal
Answer:
x=2
Step-by-step explanation:
4^2x-4=4^0
2x-4=0
2x=4
x=4/2
x=2
If the starting equation is
4²ˣ - 4 = 1
first move the 4 on the left to the right side:
4²ˣ = 5
Take the base-4 logarithm of both sides:
log₄(4²ˣ ) = log₄(5)
Drop the exponent on the left, using the property [tex]\log_b(a^n)=n\log_b(a)[/tex]:
2x log₄(4) = log₄(5)
Now [tex]\log_b(b)=1[/tex] for any b, so
2x = log₄(5)
Solve for x by dividing both sides by 2:
x = 1/2 log₄(5)
You can also express this as
x = log₄(√5)
to make the solution slightly more compact.
You can also use the change-of-base identity to rewrite the solution as
x = log(5) / (2 log(4))
where the base of the logarithm is arbitrarily chosen. Then
x = log(5) / log(4²)
x = log(5) / log(16)
x = log₁₆(5)
Forty-five percent of households say they would feel secure if they had​ $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had​ $50,000 in savings. Find the probability that the number that say they would feel secure is​ (a) exactly​ five, (b) more than​ five, and​ (c) at most five.
Answer:
0.172 ; 0.0884 ; 0.9115
Step-by-step explanation:
Proportion or those who feel secure, p = 0.45
Sample size, n = 8
Using the binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
A.) p(x = 5)
P(x =5) = 8C5 * 0.45^5 * 0.55^3
P(x = 5) = 56 * 0.0184528125 * 0.166375
P(x = 5) = 0.1719248540625
P(x = 5) = 0.172
B.) P(x > 5)
P(x > 5) = P(x = 6) + P(x = 7) + P(x = 8)
P(x > 5) = 0.0703 + 0.0164 + 0.0017
P(x > 5) = 0.0884
C.) P( ≤ 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)
Using the binomial probability calculator to obtain a direct solution :
P( ≤ 5) = 0.9115
On day 1, ten people are infected with
a virus. The infection spreads
exponentially with the number of
people infected douing every 2
days. How many people will be
infected on day 31?
Answer:
310
Step-by-step explanation:
I think so
1 day- 10 ppl affected
31st day- 10×31= 310
Look at this set of ordered pairs:
(3, -13)
(3, 2)
(18,-5)
Is this relation a function?
yes
no
Answer:
NoStep-by-step explanation:
Given ordered pairs:
(3, -13) (3, 2) (18,-5)There is a repeat of domains (3) with different range (-13 and 2) but the function can't have repeat domains so it is not a function
Answer:
It would not be a function
Step-by-step explanation:
A function has no repeating 'x' values
(3,-13) x=3
(3,2) x=3
(18,-5) x=18
So, because there is more than one of the same 'x' value (3) it is not a function.
I hope that helped :)
John states that the products of two real numbers is a real number. Extending this to imaginary numbers. John states that the product of two imaginary numbers must be imaginary. Is his statement correct? Explain
Answer:
No, this is a wrong statement.
Step-by-step explanation:
In the context, it is given that John states that the product of two the real numbers provides a number that is real. This is always true, the product is always a real number of two real number.
But the product of any two imaginary numbers is not a imaginary number, the product is always a real number.
So John provides a wrong statement in case of product of any two imaginary numbers.
L'an dernier, Mariana a déboursé 314 $ pour 10 calculatrices scientifiques et 8 trousses
de géométrie. Cette année, son fournisseur a augmenté le prix des calculatrices de 10 %
et celui de la trousse de géométrie de 5 %. Mariana a déboursé 306,30 $, mais elle a
obtenu une calculatrice et une trousse de géométrie de moins que l'an dernier.
Détermine le prix d'une calculatrice et le prix d'une trousse de géométrie cette année.
Answer:
What??
Step-by-step explanation:
How many times will the graph of f(x) = -2(x+3)2 touch the x-axis
Between which two values would 50% of the data lie? Select all that apply. 15 and 40 15 and 45 40 and 50 45 and 50 45 and 60
Answer:
The answer is:
(2). 15 and 45
(3). 40 and 50
(5). 45 and 60
Step-by-step explanation:
Hope this helps! Also can i have brainliest?
PLS ANSWEE THIS AND IF YOU DO THANK YOU!!!
Answer:
$9.50
Step-by-step explanation:
i am 100% sure
Find the slope between (-7,16) and (-15,-2)
Answer:
9/4
Step-by-step explanation:
The slope formula is
m = ( y2-y1)/(x2-x1)
= ( -2 -16)/( -15 - -7)
= ( -2-16)/( -15+7)
= -18/-8
= 9/4
5.
The model represents the equation 3x - 2<4.
11:00 - 0000
What is the solution for this inequality?
Oxx-2
0x<-3
0x<6
0x<2
Copyright 2020
O
O
Answer:
Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]
Option D is correct option.
Step-by-step explanation:
We need to solve the inequality [tex]3x -2 < 4[/tex] and find value of x
Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.
[tex]3x -2 < 4[/tex]
Adding 2 on both sides
[tex]3x -2+2 < 4+2\\3x < 6[/tex]
Now, we will divide 3 on both sides
[tex]\frac{3x}{3}<\frac{6}{3}\\x<2[/tex]
So, we get x < 2
Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]
Option D is correct option.
A family took a trip. They spent $71.90 for gasoline, $135.00 on meals, $179.00 on amusements, and $37.83 on miscellaneous expenses. How much did the trip cost?
Answer:
423.73
Step-by-step explanation
What correlation is shown by the scatter plot?
hii so this is the questiob
Answer:
No, he isn't correct. I know this because
[tex]27 \frac{8}{9} \: as \: a \: fraction \: is \: \frac{251}{9} [/tex]
and it is less than
[tex] \frac{251}{8} [/tex], it isnt equal.
Answer:
Nope. He is incorrect
ABCD is a trapezium.
A
р
B
AB =p
AD = 9
q
DC: AB = 3:2
D
С
a) Write vector DC in terms of p.
b) Work out vector BC in terms of p and q.
Give your answer in its simplest form:
+
Answer:
a) 1 1.5p
Step-by-step explanation: