Answer:
False
Step-by-step explanation:
The sides are not equal.
Review
Directions: What does each of the following mean? Write out in words and phrases.
Example: 7 - 12 means: seven minus twelve
1. 11 + t
2. 7rst
3. t - 17
4. (10)(n)
5. 15 * y
6. 4x
7. a + b
8. 14x + 3y
Answer:
1. Eleven plus t
2. 7 times r times s time t
3. t minus seven
4. ten times n
5. fifteen times y
6. four times x
7. a plus b
8. fourteen times x plus 3 times y
Step-by-step explanation:
Hope this helps!
Answer:
1, eleven plus t
2, seven rst
3,t-17
........................
Ernie deposits $9,800 into a pension fund. The fund pays a simple interest rate of 7%. What will the balance be after four years?
Answer:
$12,845.80
Step-by-step explanation:
take the first number and go +7%. repeat four times
hope this helps :-)
In a recent study at a local college using a simple random sample, 9 students admitted that they had tried alcohol at least once while under the legal drinking age, while 6 students said they had not. Is there enough data to conduct a hypothesis test to see if the percentage of students at the college who admit to drinking underage is the same as the national percentage of 65%
Answer:
No
But it us Near though
Step-by-step explanation:
9/15 or 3/5 =60%
Let ABC ≃DEF. Find mE
The value of mE is blank degree
Answer:
m∠E = 124°
Step-by-step explanation:
Since the triangles are congruent, B and E are automatically congruent, since they are corresponding angles.
First, we must find the value of y.
Set both measures equal to each other.
98 + y = 6y - 32.
Subtract y from both sides.
98 = 5y - 32
Add 32 on both sides.
130 = 5y
Divide 5 on both sides.
y = 26
Substitute y for angle E.
E = 6(26) - 32
E = 156 - 32
E = 124°
The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 23 of what the temperature was at 1 p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box.
°F
Answer: 33.5
Step-by-step explanation:
the answer is: 58.95
i took the test
Write a polynomial function with given zeros √8, √10
Answer:
y = x^2 - (sqrt(8) + sqrt(10))x + sqrt(80)
Step-by-step explanation:
we do y = (x- sqrt8)(x -sqrt10) and simplify
How do I determine z ∈ C:
[tex](\frac{3-2i}{1+i} - \frac{5+3i}{1+2i} )z = \frac{1}{2} - \frac{2}{5}i[/tex]
Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3-2i}{1+i}\cdot\dfrac{1-i}{1-i} - \dfrac{5+3i}{1+2i}\cdot\dfrac{1-2i}{1-2i}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{(3-2i)(1-i)}{1-i^2} - \dfrac{(5+3i)(1-2i)}{1-(2i)^2}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 2i - 3i + 2i^2}{1-(-1)} - \dfrac{5 + 3i - 10i - 6i^2}{1-4(-1)}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 5i + 2(-1)}2 - \dfrac{5 - 7i - 6(-1)}5[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2 - \dfrac{11 - 7i}5[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2\cdot\dfrac55 - \dfrac{11 - 7i}5\cdot\dfrac22[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{5 - 25i - 22 + 14i}{10}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = -\dfrac{17 + 11i}{10}[/tex]
So, the equation is simplified to
[tex]-\dfrac{17+11i}{10} z = \dfrac12 - \dfrac{2i}5[/tex]
Let's combine the fractions on the right side:
[tex]\dfrac12 - \dfrac{2i}5 = \dfrac12\cdot\dfrac55 - \dfrac{2i}5\cdot\dfrac22[/tex]
[tex]\dfrac12 - \dfrac{2i}5 = \dfrac{5-4i}{10}[/tex]
Then
[tex]-\dfrac{17+11i}{10} z = \dfrac{5-4i}{10}[/tex]
reduces to
[tex]-(17+11i) z = 5-4i[/tex]
Multiply both sides by -1/(17 + 11i) :
[tex]\dfrac{-(17+11i)}{-(17+11i)} z = \dfrac{5-4i}{-(17+11i)}[/tex]
[tex]z = -\dfrac{5-4i}{17+11i}[/tex]
Finally, simplify the right side:
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{5-4i}{17+11i} \cdot \dfrac{17-11i}{17-11i}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{(5-4i)(17-11i)}{17^2-(11i)^2}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44i^2}{289-121(-1)}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44(-1)}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 123i}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 41\cdot3i}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{1 - 3i}{10}[/tex]
So, the solution to the equation is
[tex]z = -\dfrac{1-3i}{10} = \boxed{-\dfrac1{10} + \dfrac3{10}i}[/tex]
How to express a mixed number as a percent
Answer:
Make it an improper fraction and multiply by 100
Answer:
Well a percent means out of a hundred
And a mixed number is
x e/y (example)
Now we know the whole number is already 1 and above so we know that’s already a 100%
Now we just need to add the other fraction to the 100%.
Thats it!
OR you can do convert the mixed number into an improper fraction.
From there make a proportion of the improper fraction equaling x/100
Now solve the proportion by cross multiplying.
Solve for x
5.prove for kite abcd above that BD bisects both ABC and ADC
6.Given from what we now know from 5, prove that M must be the midpoint of AC
The kite is a quadrilateral that has two pairs of equal adjacent sides and
one of equal opposite angles.
5. The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] [tex]{}[/tex] Given
[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{AD}[/tex] = [tex]\overline{CD}[/tex] [tex]{}[/tex] Given
[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex] [tex]{}[/tex] By reflexive property
ΔABD ≅ ΔBDC [tex]{}[/tex] By Side-Side-Side, SSS congruency postulate
∠ABC = ∠ABD + ∠CBD [tex]{}[/tex] Angle addition postulate
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC
∠ABD = ∠CBD [tex]{}[/tex] Definition of congruency
[tex]\overline{BD}[/tex] is a bisector of ∠ABC [tex]{}[/tex] Definition of angle bisector
∠ADC = ∠ABD + ∠CBD [tex]{}[/tex] Angle addition postulate
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC
∠ABD = ∠CBD [tex]{}[/tex] Definition of congruency
Therefore;
[tex]\overline{BD}[/tex] is a bisector of ∠ADC [tex]{}[/tex] Definition of angle bisector
CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent
6. The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC (question 5)
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] [tex]{}[/tex] Given
[tex]\overline{BM}[/tex] ≅ [tex]\overline{BM}[/tex] [tex]{}[/tex] Reflexive property
ΔABM ≅ ΔCBM [tex]{}[/tex] According to Side-Angle-Side, SAS congruency rule
[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex] [tex]{}[/tex] CPCTC
[tex]\overline{AM}[/tex] = [tex]\overline{CM}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{CM}[/tex] [tex]{}[/tex] Segment addition postulate
[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{AM}[/tex] = 2·[tex]\overline{AM}[/tex] [tex]{}[/tex] Substitution property of equality
[tex]\overline{AM}[/tex] = 0.5·[tex]\overline{AC}[/tex] [tex]{}[/tex] Division property of equality
M divides [tex]\overline{AC}[/tex] to two [tex]{}[/tex] Definition
M is midpoint of [tex]\overline{AC}[/tex] [tex]{}[/tex] Definition of midpoint
Learn more here:
https://brainly.com/question/20644467
Tamara bought a $22 mailbox using a 10% off coupon David bought an identical mailbox for $19.95 at a different store
Which statement is true?
Answer:David bought an identical mailbox for $ 19.95 at a different store.
Step-by-step explanation:
David bought an identical mailbox for $ 19.95 at a different store. you can buy a same mailbox but for different prices you have 22 dollars you have a 110 percent off you dont have enough
Help asap will give 40 points
Answer: 1/3
Step-by-step explanation:
need help with these two math problems
Answer:
y = (x - 1)(x - 3)
y = (x + 2)^2
Step-by-step explanation:
3)
Has roots at x = {1, 3}
y = (x - 1)(x - 3)
4)
Has double root at x = -2
y = (x + 2)^2
A student is failed due to 10 marks after obtaining 90 marks in full marks of 250. what percentage marks does he require to pass?
Answer:40
Step-by-step explanation:
The price was reduced from two thousand, four hundred ninety-eight dollars to one thousand, nine hundred ninety- nine dollars. By how much was the price reduced?
Answer:
$499
Step-by-step explanation:
Since the price was reduced from an amount which is $2,498. You have to take that amount and the other amount which is $1999 and subtract them both.
2489-1999=499
(When you get your answer,make sure to add the dollar sign.)
The price was reduced by $499.
10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function?
It also gives me these numbers:
a. 2x
b. 2x + 2
c. x^2
d. 2x^2
Answer:
d. 2x^2
Step-by-step explanation
Help, with my homework. Please represent 2x^-5x-12 using algebra tiles
Answer:
2−4−12
Step-by-step explanation:
Circumference and area of a circular piece of glass
Answer:
Area = πr²
Circumference = 2πr
You can use pie as both 22/7 Or 3.14
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
ayo is 37 years old and Abdul salami is 6 years old. how many years ago was the product of their ages 96
Prepare a mixture of 300 mL of 70% alcohol and 200 mL of 95% alcohol. What is the percentage strength of the final solution?
Answer:
Step-by-step explanation:
300(0.70) + 200(0.95) = (300 + 200)x
400 = 500x
x = 0.80
80%
Find the derivative of the function y = ln(3t+4)
Answer:
3 / (3t+4) is the answer
In a sequence of four numbers, the difference between each number is 7.
The sum of the four numbers is 6.
What are the numbers in the sequence?
You must show all your working.
Answer:
Step-by-step explanation:
Let x be the lowest number of the four
x + (x + 7) + (x + 14) + (x + 21) = 6
4x + 42 = 6
4x = -36
x = -9
-9 + 7 = - 2
-9 + 14 = 5
-9 + 21 = 12
-9. -2, 5, 12
What is 55% of 20?!?!?!
Answer:
11
Step-by-step explanation:
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
use the method:
is/of and %/100
plug in 55 for the percent, and 20 for 'of'
should be: x/20 and 55/100
cross multiply to get 11.
1%of 20 is 0.2 0.2x5=1 5% of 20 is 1
10% of 20 is 2 2x5=10 50% of 20 is 10
1+10=11
That is just how i do it to make it easier for others, and sometimes for me.
Is 18 is 25% of 72 true or false
Step by step evidence
Answer:
true
Step-by-step explanation:
25% of 72
25/100 * 72
= 1/4 * 72
= 18
what is the area of a rectangle if 1 base is 14 in, the 2nd base is 3.5 in and the height is 8 in?
Check the picture below.
notice, we have three pair of sides, let's add them all up to get the area
[tex]\stackrel{\textit{left and right}}{2(8\cdot 14)}+\stackrel{\textit{front and back}}{2(3.5\cdot 8)}+\stackrel{\textit{top and bottom}}{2(3.5\cdot 14)}\implies 378~in^2[/tex]
Solve:
8t + 2 = 8 (4) + 2 = ? + 2
What is the (?) / Question mark?
Answer:
? = 32
Step-by-step explanation:
Because 8 times 4=32 plus 2 = 34 and therefore t=4 8 times 4 again plus 2 = 34 so 32 plus 2 =34
Plz give brainliest
124/72 simplified is?
Answer:
31/18
Step-by-step explanation:
Which of these functions would you use to represent the length, width or heigh of a box whose dime
O Quadratic
O 4th-degree polynomial
O Cubic
O Linear
Answer:
Cubic
Step-by-step explanation:
He has widht, heigh and length.
The cubic function is used to represent the length, width or height of a box. The correct option is C.
What is a cubic function?The cubic function is defined as a function having a degree of three. It is the same as that of cubic polynomials.
A cubic function is defined in mathematics as a function of form f(x)=ax³+bx²+cx+d, where the coefficients a, b, c, and d are complex numbers and the variable x takes real values.
The box has three dimensions that are length, width, and height. The volume of the box will be calculated by the product of the three sides of the box.
There are three dimensions involved in the calculation of the volume of the box. It means that the volume will be a cubic function.
To know more about cubic functions follow
https://brainly.com/question/20896994
#SPJ2
HELP ASAP
I WILL GIVE BRAINLIEST
How is the product of 2 and 5 shown on a number line?
2-1 0 1 2 3 4 5.7.1
-10
101235
7.
-13-
3-L 1 2 3
5
-1012
4 5
Answer:
4th option
Step-by-step explanation:
2x-5 means yo have to take minus 5 twice. So you start from 0 and jump back 5 steps twice. So 4
12. A rectangular garden has a length of L meters and a width of 3 meters less than its length. How much does it cost to put a fence around the garden if the fencing is $4 per meter?
Answer:
Area: (2x - 7) * (3*2 + 4x)
(2x - 7) * (6 + 4x)
8x-42
Perimeter: 2(2x - 7) + 2(3*2 + 4x)
Step-by-step explanation:
hope this helps!
Is 27, 333 divisible by 3? Write the number 27,333 as the product of 3 and another factor.
Yes, 3 divides 27,333. We have
27,333 = 27,000 + 333
… = 27•1,000 + 333
… = 3•9•1,000 + 3•111
… = 3•(9•1,000 + 111)
… = 3•(9,000 + 111)
… = 3•9,111