Answer:
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Step-by-step explanation:
To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :
Assume: б(Δ ABC ) = б(Δ DEF ) and also AB ≅ DE
let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF respectively
Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that
AB = summit of ABB'A' and DE = summit of DEE'D' also AB ≅ DE
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Solve the following inequalities and give the solutions in both set and interval notations.
-2x + 5 < -x + 25
Tell if the slope is positive, negative, zero, or no slope.
POSITIVE
Answer:
Negative
Step-by-step explanation:
The line is trending downwards, which is indicative of a negative slope.
Help ill Mark brainlist :)
Answer:
The area would be 40.5 cm ^2
Step-by-step explanation:
Well first you don’t gotta worry about some isosceles trapezoid thingy.
You just gotta know the formula for a trapezoid is (b1+b2)/2)h
B1 in this case is or base 1 (9 or 4.5)
b2 in this case is or base 2 (9 or 4.5)
(you can only choose one base for each)
ANd you add those 2 up and you’d get 13.5
13.5/2 which is 6.75
Now we multiply it by the height which is 6 and gte 40.5
40.5cm ^2 is the final answer
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
Answer:
[tex]x \leqslant - \frac{1}{2} [/tex]
Find the area of the trapezoid. Round your answer to the nearest hundredth.
Answer:
42.50 units²
Step-by-step explanation:
Area of the trapezoid = ½(AB + DC)×AD
AB = 6
DC = 11
AD = ?
Use trigonometric function, TOA to find AD:
Tan 45 = Opp/Adj
Opp = AD
Adj = 11 - 6 = 5
Tan 45 = AD/5
5 × tan 45 = AD
AD = 5
✔️Find Area of trapezoid.
Area = ½(AB + DC)×AD
= ½(11 + 6)×5
= 42.50 units²
solve this question 5/8÷15/16=?
Answer:
Hellou our answer is 2/3
Step-by-step explanation:
5/8 ÷ 15/16 = 2/3
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times
Answer:
[tex]\frac{1}{25} =0.04[/tex] (Unusual)
Step-by-step explanation:
1/5 for one drawing
1/5 chance to win once, if there is only one game.
Then multiply them together to get 1/25.
If you need in decimal form 1/25 = 0.04 (unusual)
If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
What is Permutation and Combination ?
A permutation is an act of arranging the objects or numbers in order.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
An individual can win a prize by drawing the highest numbered card out of five cards.
Given that an individual makes 7 draws
p = 1/5 = 0.2
q = 1-P =0 .5
5 times corresponds to B( 7 , 0.2)
P(x = 2) = 7 C₂ (0.7)² (0.8)⁵
= 21 * 0.04 * 0.3277
= 0.2753
Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
To know more about Permutation and Combination
https://brainly.com/question/13387529
#SPJ2
Brain ordered 3 large cheese pizzas and a salad. The salad cost $4.95. If he spent a total of 47.60 including the $5 tip, how much did each pizza cost? ( assume there is no tax)
Answer:
Each Pizza will cost $12.55
Step-by-step explanation:
we first going to subtract the following
$47.60 - 5 - 4.95 = $37.65
$37.65 / 3 (the number of pizza ) = $12.55
$12.55
Step-by-step explanation:
Amount spent on 3 pizzas= Total —( amount spent on salad + tip)
=460—(4.95+5)
= $37.65
cost of each pizza= 37.65÷3
= $12.55
a gift box is shaped of a right rectangle prism
Simplify the radical expression. ⁴√81x²⁰y²⁴
I think it's either A or B
Answer:
3x^5y^6 (a)
Step-by-step explanation:
La raiz de un productor es igual al producto de las raices de cada factor
^4√81 ^4√x^20 ^4√y^24
escriba el numero en forma exponencial an base 3
^4√3^4 ^4√x^20 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 y^6
simplifica el indice de la raiz y el exponente usando 4
3x^5y^6
what is 1086.3961 rounded to the nearest square foot?
help, please will give Brainliest
9514 1404 393
Answer:
A. 57 7/9 ft³
Step-by-step explanation:
The volume of a rectangular prism (cuboid) is the product of its dimensions.
V = LWH
V = (4 1/3 ft)(3 1/3 ft)(4 ft)
If you drop the fractions, this becomes ...
V = (4 ft)(3 ft)(4 ft) = 48 ft³
You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.
__
If you feel the need to compute the volume exactly, you can do so using improper fractions.
V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³
help me please :(*********
Answer:
These will be equal, so the answer is 7
Step-by-step explanation:
Set 2x+42 and 9x-7 equal to each other, then solve.
2x+42=9x-7
-2x +7 -2x +7
49=7x
x=7
QUESTION
The first four terms of a quadratic sequence are 8; 11; 16; 23; .-
Write down the next two terms of the quadratic sequence.
J. 2 Calculate the nth of the quadratic sequence.
i: 5.3 Determine the position of the term 2311 in the sequence.
(1)
(4)
(3)
[8]
Answer:
b
Step-by-step explanation:
This is hard for me but easy for you so what’s the answer ?
Step-by-step explanation:
112=35+d
112-35=d
d=77
Which is the number that gives 240 when added to its own square?
Answer:
15
15 when added to it's square gives 240
Chris buys 5 apples for $2.60 .How much does one apple cost
Answer:
.52¢
Step-by-step explanation:
One apple cost 52 cents. The expression below represents the cost of an apple.
5a =2.60
5a/5= 2.60/5
a =0.52
Answer:
Each apple costs $0.52.
Step-by-step explanation:
Christ spent a total of $2.60 for 5 apples. We want to find the cost of one apple.
To find this: total cost/total apples
2.60/5 = 0.52
Each apple costs $0.52.
Let's check our answer.
If one apples costs $0.52, 5 apples should cost 0.52 • 5
0.52 • 5 = 2.60
This is how much Christ spent; therefore your answer is correct.
Hope this helps!
help me with this plzzz
Answer:
b is the answer
Step-by-step explanation:
if you look at the graph chart you will notice that b lines up with negative 4 and positive 2
Which of these sets of numbers contains no rational numbers?
NEED ANSWER NOW!
Answer:
the first option
Step-by-step explanation:
for a number to be rational, it should be able to be expressed as a fraction. Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction
Answer:
Step-by-step explanation:
it’s the first one
Help me to convert the following to redian (1) 300° (2)18° (3) 105°
Answer:
(1) 5.23599
(2) 0.314159
(3) 1.8326
Bob earns $10 per hour plus a
15 percent commission on his sales. Last week he worked h hours and had s dollars in sales. Write an equation that represents his total earning, in dollars, last week?
O 10.15hs
O 10.15(h +s)
O 10h+0.15s
O 10(h + 0.15s)
Answer:
C, 10h + 0.15s
Step-by-step explanation:
he earns 10 dollars per hour so 10h
he earns 15% or .15 per sale so .15s
add them together to get 10h + 0.15s
Please help me i cannot understand these Questions
Answer:
In the last task, the result is 17+3x/6
Step-by-step explanation:
X+5/3 - 2x-7/6 + x/2
2(x+5)-(2x-7)+3x /6
2x+10-2x+7+3x /6
17+3x/6
I dunno this task above, I hope this one is correct :))
Factor this expression. 3x² - 6x O A. 3x(x - 2) B. 3x(x2 - 2) O C. 3(x-2) D. 3072 - 2)
Answer:
A. 3x (x-2)Step-by-step explanation:
Question:To factorise
3x² - 6x
Solution:3x² - 6x
[Taking common term out]
= (3x × x) - (3x × 2)
= 3x ( x - 2)
Result:Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)
can you break it down for me.
Answer:
m + 8 ≥ -8
Step-by-step explanation:
1st choice: WRONG
m + 8 ≤ -8
-3 + 8 ≤ -8
5 ≤ -8
2nd choice: WRONG
-m + 8 ≤ -8
-(-3) + 8 ≤ -8
11 ≤ -8
3rd choice: RIGHT
m + 8 ≥ -8
-3 + 8 ≥ -8
5 ≥ -8
4th choice: WRONG
-m + 8 ≤ -8
-(-3) + 8 ≤ -8
11 ≤ -8
What is the solution to 5/6 X 2/3 =
? Mark the TWO correct
answers.
Answer:
5/9
Step-by-step explanation:
Answer:
i think is 5/9 :))
What is the contrapositive of the following conditional? If a number is divisible by 10, then it is divisible by 5.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: No because that is not always true.
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
What is JM? please help :((
Answer:
I think its D 30
Step-by-step explanation:
To find the value of the following expression, which task should be completed first?
Answer:
subtract inside the parentheses
Step-by-step explanation:
According to pemdas. It is parenthesis first so you subtr what’s inside first
Answer:
Subtract inside the parenthesis
Step-by-step explanation:
For this problems you have to follow PEMDAS which stand for
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
in that order
During an economic downturn, 11 companies were sampled and asked whether they were planning to increase their workforce. Only 2 of the 11 companies were planning to increase their workforce. Use the small-sample method to construct an 80% confidence interval for the proportion of companies that are planning to increase their workforce. Round the answers to at least three decimal places.
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is _______ < p< ________
Answer:
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Only 2 of the 11 companies were planning to increase their workforce
This means that [tex]n = 11, \pi = \frac{2}{11} = 0.182[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331[/tex]
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Find the value of x plssssssss
Answer:
150 degrees
Step-by-step explanation:
Hi,
Since one of the angles is 30 degrees and this is a line, we know that 30 + u must equal 180 degrees.
30 + u = 180
Subtract 30 from 180 to find the value of u.
u is 150 degrees.
I hope this helps :)
Answer: 150 degrees
Step-by-step explanation:
A line is 180 degrees in total, since that acute angle is 30 degrees you just subtract 30 from 180, which gives you the other side ( which has to equal 180) of 150 degrees. If it were 40 degrees ( instead of 30) it would be 140 degrees on the other side.... etc