Answers
Answer:
b. DC = 29 and DE = 44.5
Step-by-step explanation:
Given:
AB = 29
BD = 89
Required:
DC and DE
Solution:
✔️DC = AB (opposite sides of a parallelogram are equal)
Therefore,
DC = 29 (Substitution)
✔️DE = half of diagonal BD (Diagonals of a parallelogram bisect each other)
DE = ½(89)
DE = 44.5
Related Questions
If tickets for a concert cost $9 each, how many tickets can you buy if you have $135?
Write an equation and solve by guess-and-check.
9
c. 9x = 135; 15 tickets
135, 15 tickets
a
X
b. 9 + x = 135; 15 tickets
d. 9 - x = 135: 15 tickets
Answers
Answer:
15
Step-by-step explanation:
135 divided by 9 = 15
Determine whether the following statement is always, sometimes, or never true.
If two pairs of corresponding sides of two right triangles are congruent, then the triangles are
congruent.
Answers
Answer:
this statement is true because then the triangles will be congruent by rhs axiom
jada makes sparkiling juice by mixing 2 cups of sparkiling water with every 3 cups of aplle juice.
how much sparkiling water does jada need if she uses 15 cups of apple juice?
solve the answer with a full explanation
Answers
Answer:
10 cups
Step-by-step explanation:
we can set up a proportion of cups of water over cups of apple juice
2/3 = w/15
if you cross-multiply you will get:
3w = 30
w = 30/3
w = 10
I
69. A car is driving at a speed of 55 mi/h. What is the speed of the car in feet per minute
Answers
Answer: [tex]4840\ ft/min[/tex]
Step-by-step explanation:
Given
Speed is [tex]v=55\ mi/h[/tex]
Also, 1 mile is equal to 5280 ft
1 hour is equal to 60 min
Substitutes this values
[tex]\Rightarrow 55\times \dfrac{5280}{60}\\\\\Rightarrow 55\times 88\\\Rightarrow 4840\ ft/min[/tex]
If 8 x - 4 = 6 - 3 x then x =
Answers
Answer:
4th option is correct
Step-by-step explanation:
[tex]8 x - 4 = 6 - 3 x[/tex]
[tex]8x−4+3x=6[/tex]
[tex]11x−4=6[/tex]
[tex]11x=6+4[/tex]
[tex]11x=10[/tex]
[tex]x = \frac{10}{11} [/tex]Hope it is helpful...Answer:
option 4 ,
x=10/11
is the answer of your question
explanation is attached below .
hope it is helpful to you
I need some help on this math question. Please explain how you found the answer too!
Answers
Answer:
A
Step-by-step explanation:
The table represents a proportional function which has a rate of proportionality equal to 5
In fact
5:1 = 5
15 : 3 = 5
25 : 5 = 5
35 : 7 = 5
If we make 90 : 18, the result is 5, so this dates can be part of the table
HELP EDCITE !! HELP PLEASE!!!!!!!!!!!!
Answers
Answer:
easy:
6*10 / 2 = 30
6*10 would be a rectangle. a right triangle is just half the area
How many plants are shorter than 27 inches?
Answers
Which of the following fraction pair is equivalent? 8/9 and 9/8 or 5/8 and 25/48 or 3/6 and 1/3 or 16/64 and 1/4
Answers
Answer:
16/64 and 1/4
Step-by-step explanation:
The Pythagorean Theorem (image below)
Answers
A car travels 32 km due north and
then 46 km in a direction 40° west of
north. Find the DIRECTION of the car's
resultant vector.
Answers
Answer:
Ifa,bandcare the
sides opposite to anglesA,B,&C.
By Cosine Rule,
b
2
=32
2
+46
2
−(2×32×46cos140°)
b
2
=1024+2116−2944cos140°
b
2
=3140−2944cos140°
b
2
=3140+2255.234841
b
2
=5395.234841
b=73.45
By Sine Rule,
sinC
32
=
sin140°
73.45
sinC=
73.45
32sin140°
sinC=0.2800
C=16.26°
The direction of the resultant
vector is measured from0°east
to the resultant, this angle isθ−90°,
90°is the total angle in
the first quadrant.
∴θ−90°=C+ϕ
ϕ=50°{Alternate angles are equal}
∴The direction of the car’s
resultant vector is50°+16.26°=66.26°south of east
Step-by-step explanation:
Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package measured in ounces. You want to try to predict the cost of a typical shipment given package dimensions. If 10 packages in a city are sampled and the regression output is given below, what can we conclude about the slope of weight
Answers
Answer:
The answer is "Option 5"
Step-by-step explanation:
Please find the complete question in the attached file.
Throughout the above output the regression equation is:
Delivery cost [tex]=0.469\times weight +9.617[/tex]
Marsha deposited $10,000 into a savings account 5 years ago. The simple interest rate is 3%.
much money did Marsha earn in interest
Answers
Answer:
She earned 1500 in interest
Step-by-step explanation:
10,000 × 0.03 × 5 = 1500
Your welcome :)
Cooper buys a one-gallon bottle of juice for $12.80. What is the unit rate of the cost of the juice per fluid ounce? 1 gallon 4 quarts 1 quart 2 pints 1 pint = 2 cups 8 fluid ounces 1 cup Before you try that problem, answer the question below. How many fluid ounces of juice did Cooper buy?
how many fluid ounces of juice did he buy ???
Answers
Answer: There are 128 fluid ounces in a gallon
Step-by-step explanation:
There are 128 fluid ounces in a gallon
Perform the operation and, if possible, simplify
21/20 - 4/15
Answers
Answer:
47/60
Step-by-step explanation:
Find the LCM and multiply to get there.
LCM is 60
63/60-16/60
47/60
Write about a time when you had an unexpected expense. How did you deal with the unexpected expense? What are some unexpected expenses you might face in the next five years?
Answers
Answer:
Some unexpected expenses I have had were Pet Emergencies with my dog
or Major Auto Repairs if my car gets in an accident or home repairs if my child writes on the wall or breaks a whole in it. I dealt with them by selling stuff that I dont use to pay it off. Some expenses I might face in the next 5 years would be Medical emergencies for my family just incase anything were to happen to them
sample of one hundred seventy-eight students were surveyed one week prior to the election for student body president
egarding their choice of three candidates. The table below shows the results of the survey.
A
B
С
Candidates
Votes
67
57
54
Use the information above. There are 1571 students in the school. According to the survey, about how many votes can
candidate A expect to recieve?
Answers
Answer:
592 Votes
Step-by-step explanation:
According to the Question,
Given That, a sample of 178 students was surveyed one week prior to the election for student body president Regarding their choice of three candidates.The table below shows the results of the survey.A B С
Candidates Votes 67 57 54
And, There are 1571 students in the school.
So, The Total votes can candidate 'A' expect to Receive is⇒(1571/178)×67
⇒591.33 ≈ 592 Votes(Approximately)
PLS HELP! If f(x) = -9x + 12, and f(x) = -6, find x.
Answers
Answer:
2
Step-by-step explanation:
You can rewrite thosee two equations as -9x+12=-6, because f(x)=f(x)
Now isolate x
-9x+12=-6
-9x+12-12=-6-12 (subtract 12, subtraction property of equality)
-9x=-6-12
-9x=-18 (simplify)
-9x/-9=-18/-9 (divide by 9, division property of equality)
x=2
Find the equation of the line with slope m=1/4 that contains the point (4,5).
Answers
Answer: x - 4y = -16
Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.
y - y₁ = m(x - x₁)The given point, (4, 5), represents (x₁, y₁).
So if we plug all our given information into the formula,
including our slope of 1/4, we get y - 5 = 1/4(x - 4).
To put our equation in standard form, first, distribute
the 1/4 through the parentheses.
So we get y - 5 = 1/4x - 1.
Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.
That gives us 4y - 20 = x - 4.
Now moves the -20 to the right side by adding 20 to both sides.
So we get 4y = x + 16.
Now subtract x from both sides to get -x + 4y = 16.
Finally, our coefficient on our x term must be positive so we
divide both sides by -1 to get x - 4y = -16.
Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches
Answers
Answer:
0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.
Step-by-step explanation:
To solve this question, we use the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 109.0 inches, and a standard deviation of 12 inches.
This means that [tex]\mu = 109, \sigma = 12[/tex]
Sample of 25.
This means that [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex]
What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?
This is the p-value of Z when X = 112. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{112 - 109}{2.4}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.
3. TELEPHONE NUMBERS What is the probability that a 7-digit telephone number with the digits 5, 1, 6, 5, 2, 1 , and 5 is the number 550 - 5211 ?
Answers
In 1992, the moose population in a park was measured to be 4600. By 1998, the population was measured again to be 4240. If the population continues to change linearly
1.Find a formula for the moose population, P , in terms of t, the years since 1990.
2.What does your model predict the moose population to be in 2009?
Answers
Answer:
P(t) = - 60t + 4720
3580
Step-by-step explanation:
Given :
m = (y2 - y1)/(x2 - x1)
m = (4250 - 4600) / (8 - 2)
m = - 360 / 6
m = - 60
Using the point slope relation :
y - y1 = m(x - x1)
y - 4600 = - 60(x - 2)
y - 4600 = - 60x + 120
y - 4600 + 4600 = - 60x + 120 + 4600
y = - 60x + 4720
P(t) = - 60t + 4720
To predict population in 2009 :
2009 - 1990 = 19 years
Put t = 19
P(19) = - 60(19) + 4720
P(19) = - 1140 + 4720
P(19) = 3580
Curtis threw 15 darts at a dartboard.40% of his darts hit the bulls eye. How many darts did not hit the bulls eye?
Answers
Answer:
9 did not hit the bulls eye
Step-by-step explanation:
If 40% did hit the bulls eye, 100-40 = 60% did not hit the bulls eye
15 * 60%
15 *.6
9
9 did not hit the bulls eye
Answer:
Therefore, 9 darts did not hit the bull's-eye.
Step-by-step explanation:
Equivalent ratio states that the two ratios are express the same relationship between numbers
As per the given statement: Curtis threw 15 darts at a dashboard.
40% of his darts hit the bull's eye
then;
60 % of his darts did not hit the bull's eyes.
By definition of equivalent ratio;
x/15= 600/100
Multiply both sides by 15 we have;
x= 60/100 *15= 60*15/100= 900/100= 9 Darts
Which equation graphs as the parabola?
A) Ax) = x² + 4
B) f(x) = x2 + 2x + 4
C) Ax) = x² + 5x- 4
OD) Ax) = x² + 3x-4
Answers
Explanation: I used desmos to double check! This should be right :)
Find the balance of the account earning interest compound annually.
$7000 at 4% for 2 years
Answers
9514 1404 393
Answer:
$7571.20
Step-by-step explanation:
Each year, the balance is multiplied by 1+4% = 1.04. After 2 years, the balance is ...
$7000 × 1.04 × 1.04 = $7571.20
_____
Additional comment
The repeated multiplication is usually indicated with an exponent:
$7000×1.04²
is 2(9x) and 18x
Equivalent?
Explain why
Answers
The mass of a dime is about 0.002268 kg. Which is the best estimate of the mass?
A 2 x 10-3
B 2 x 10-2
C 2 x 102
D 2 x 103
Answers
Answer:
A.
[tex] = > \: 2 \times {10}^{ - 3} [/tex]
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
How many foreign stamps does Malik have?
Answers
Answer:
answer in picture
c, b, d
Step-by-step explanation:
what is the integer of-2
Answers
Answer:
-2
Step-by-step explanation:
The integer of - 2 is - 2 only as integers can be positive and negative whole numbers
Find the measurement of angle b.
Answers
Answer:
b = 55
Step-by-step explanation:
The two angles add to 90 degrees
b+35 = 90
Subtract 35 from each side
b +35-35 = 90-35
b = 55
Answer:
90-35=55
Answer is D
Step-by-step explanation:
As evident, the line is bisecting the right angle. One side of the bisection is given as 35. Thus by deduction:
90-35=b
90-35=55
55=b
