In the figure below, points D, E, and F are the midpoints of the sides of LABC,
Suppose DF=34, AC=48, and BC=78.
Find the following lengths.
Answers:
DE = 39AB = 68BE = 34=============================================================
Explanation:
BC = 78 is parallel to the midsegment DE.
This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39
-------
DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.
-------
BE = 34 for two reasons
Quadrilateral EBFD is a parallelogram with opposite sides BE and DF that are congruent. E is the midpoint of AB, so BE is half as long as AB--------
We don't use the info that AC = 48.
In a 60 sheet package of construction paper there are 15 yellow sheets what is the probability that a randomly selected sheet will be yellow
Answer:
15/60 or 1/4, which is 25%
Step-by-step explanation:
‼️‼️HELP PLS HELP ILL MARK YOU BRAINLEST‼️‼️
a) 75°
b) 105°
c) 52.5°
d) 180°
Answer:
52.5
Step-by-step explanation:
180-75=105
105/2=52.5
Answer:
b) 105°
Step-by-step explanation:
The probability for success of an event is P(A), and the probability of success of a second, independent event is P(B). What is the probability of both events occurring, in that order?
P(A) • P(B)
P(A + B)
P(A x B)
P(A) + P(B)
Given:
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
To find:
The probability of both events occurring, in that order.
Solution:
If A and B are two independent events, then
[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]
It is given that,
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., [tex]P(A\cap B)[/tex], therefore [tex]P(A\cap B)=P(A)\cdot P(B)[/tex].
Hence, the correct option is A.
Convert 12/5into a percent
Answer:
[tex]240\%[/tex]Step-by-step explanation:
[tex] \frac{12}{5} \: into \: percentage[/tex]into decimal form:
[tex]2.4[/tex]
[tex]2.4 \times \frac{100}{100} [/tex][tex] \frac{(2.4 \times 100)}{100} [/tex][tex] \frac{240}{100} [/tex][tex]240\%[/tex]
Hint:
[tex] \frac{100}{100} = 100 \div 100 = 100\% = 1[/tex][tex]p\% = \frac{p}{100} = p \div 100[/tex]Hope it is helpful...Find the value of x.
Answer:
46degrees
Step-by-step explanation:
Find the value of x.
Using the circle theorem which states that
The angle at the vertex is half the difference that at the intercepted arcccs
x = 1/2(152 - 60)
x = 1/2 (92)
x = 92/2
x = 46degrees
Hence the value of x is 46degrees
a) Make t the subject of the formula
[tex]( \sqrt{t + 2) \div u = 1} [/tex]
Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7). a. 24 units2 b. 10 units2 c. 12 units2 d. 18 units2
Answer:
Option D
Step-by-step explanation:
Vertices of the polygon are A(1, 3), B(7, 3), C(7, 7), D(4, 7)
Measure of AB = 7 - 1 = 6 units
Measure of BC = 7 - 3 = 4 units
Measure of CD = 7 - 4 = 3 units
From the figure attached,
Area of the trapezoid = [tex]\frac{1}{2}(AB+CD)(BC)[/tex] [Here, AB and CD are the parallel bases and BC is the height of the trapezoid]
= [tex]\frac{1}{2}(6+3)(4)[/tex]
= 18 square units
Therefore, Option D will be the correct option.
The ratio of cups of orange juice concentrate to water in a punch recipe is 2 : 5. If Geoffrey used 20 cups of water, how many cups of orange juice concentrate did he use?
Answer: 8 cups
Step-by-step explanation:
Let the cups of orange juice concentrate that he used be represented by x.
Therefore, based on the information, we can form an equation which will be:
2/5 = x/20
Cross multiply
5 × x = 2 × 20
5x = 40
x = 40/5
x = 8
Therefore, he used 8 cups of orange juice concentrate.
Anyone know how to do this?
8x6, then 11x12, 12x8 and 8x12 8x7 than add the answers together
Which point has coordinates (0, -5) ?
Please help ASAP!! I will give 30 points too the correct answer !!
Answer:
Hi the point that has the coordinates of (0, -5) is point •W ( The LIGHT GREEN one ).
Step-by-step explanation:
The reason one why it's point •W ( The LIGHT GREEN one ) is because it's still on the line which is the y-axis and also because it's on -5. Sorry I'm not that good at explaining things
Straight line A has the equation y = 3x + 2. Find the equation of the line parallel to A and goes
through the point (3,8)
Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (3, 8 ) into the partial equation
8 = 9 + c ⇒ c = 8 - 9 = - 1
y = 3x - 1 ← equation of parallel line
The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12 feet. They have chosen large square tiles that are 2 feet by 2 feet. how many tiles will they need to buy to cover their kitchen floor?
Answer:
27 tiles
Step-by-step explanation:
First, find the total area of the kitchen.
Use the area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sq ft
Find the area of the square tiles, using the same formula:
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sq ft
Find how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, they will need to buy 27 tiles
Answer:
27 tilesTo find the total area of the kitchen.
We know,area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sqft
NowTo find the area of the square tiles
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sqft
AtlastFind how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, Tiles Needed= 27
Hope This Helps You ❤️Mrs. Murphy's students measured their pencils. She made this line plot to show the data. Mrs. Murphy told the students that they should get a new pencil if their pencil length was 4 inches or shorter. How many students will need new pencils?
Answer:
8 students
Step-by-step explanation:
Line Plot is a graph that presents data through number line. Here, possible values of considered variable are on number line, & their frequency is denoted by number of dots or crosses above.
As per given line plot for pencils height : pencil height 3 with 3 students, pencil height 4 with 5 students , pencil height 5 with 3 students
So, students having pencil height < 4, ie = 3 & 4 , are 3 + 5 [ total 8 ] students]
hey cutie pls help me !! brainilist will be given !!
Answer:
Part a.
An angle bisector divides the angle into two congruent angles.
m<FGH = m<HGI
2x - 4 = 3x - 22
Subtract 2x from both sides. Add 22 to both sides.
18 = x
x = 18
Now that we know x = 18,
m<FGH = 2x - 4 = 2(18) - 4 = 36 - 4 = 32
m<FGH = 32
Part b.
m<HGI = 3x - 22 = 3(18) - 22 = 54 - 22 = 32
m<HGI = 32
Part c.
m<FGI = m<FGH + m<HGI = 32 + 32 = 64
m<FGI = 64
Step-by-step explanation:
Dana Wright operates an airport limousine service. He owns the limo and does his own driving. He values his driving time at $25 per hour. He pays a commission fee of $10 to the person who brings him the business. A trip to the airport takes three hours and uses $25 worth of gasoline. If Dana charges each customer $200, what is his contribution margin per unit of sale? How much does Dana make on each trip as a driver? As the owner of the business?
Which graph represents the solution to the system of equations?
y = 2x + 5
y = 1/3x - 2
(See Picture)
Answer: Second answer first row
How to: Graph
Have a great day and stay safe !
PLS HELP!!! WILL GIVE BRAINLIST!!!
Better upload please help out and thank you ❤️.
please help thanks!!!
Answer:
2x+8
Step-by-step explanation:
So when they say a number, they mean a unknown value.
We can use a variable as this unknown value. In this situration we can call it x.
This phase says "twice a number" or "twice x". This can be though of as 2x.
next it says this number is increased by 8. When they say increased they meanm added to.
So 8 is added to 2x. Or 2x + 8
So its the second answer, 2x+8.
Hope this helps!
How many solutions does the system have ?
Answer:
one
Step-by-step explanation:
althought the lines look parallel the
slope on the blue line is 1
slope on the red line is 3.5
therefor there is one solution
Find the value of x in each figure
Answer:
20...90°-46°
=44°
therefore 44÷4
=11
therefore x=11
21....90°-20°
=70°
70-15
=55
therefore x=55°
22...90°÷3
=30
THEREFORE X=30°
Marco randomly pulled a marble out of a bag then returned the marble to the bag. He did this 10 times. Three times the marble was green. Kira spun a wheel with sections of different colors. The wheel landed on blue 6 times of the 15 times. Robin decide to pull a marble from the bag and spin the wheel once. Based on the results from Marco and Kira, what is the probability that Robin pulls out a green marble and wheel lands on blue? A. 3/25 B. 1/4 C. 9/25 D. 7/10
Answer:A
Step-by-step explanation:
Step 1: 3/10
Step 2: 6/15=2/5
Step 3: 3/10 x 2/5 = 3/25
need help please to pass
Answer: None of the other answers are correct
Step-by-step explanation: Hope this help :D
A store sells 5-liter cans of paints. Last month, the store sold a total of 2,480 liters of paint. How many cans of paint did the store sell last month
Answer:
496
Step-by-step explanation:
cans sold = total liters sold / capacity of each can of paint
2480 / 5 = 496
Change this fraction to an equivalent fraction with multiplication.
4/7 = ______
Sample Answer:
8/14
Step-by-step explanation:
This is an open ended question with infinite answers, though you can for example multiply both parts of the fraction by 2 to get the same value
4/7
4 * 2 = 8
7 * 2 = 14
8/14 = 4/7
Answer:
8/14
Step-by-step explanation:
Question:
Why do you think there is a limit on the number of times you can withdraw or transfer money in your savings accounts?
(PLEASE ANSWER IN YOUR OWN WORDS!)
Answer:
Step-by-step explanation:
The bank uses money deposited into savings and other accounts for investments and loans. They need to ensure that the money won’t be withdrawn so they have use of that money.
Jimmy has a collection of 1400 baseball cards. Of these cards, 15%, are
players from before 1980, 10% are players from 1980 to 2000, and the
rest are players from after 2000. How many players does Jimmy have
from after 2000?
Answer:
Your answer is 1050 cards are from after the 2000s.
Step-by-step explanation:
25% of the cards are before 2000, so that means 75% of 1400 cards are after the 2000s.
.75*1400 = 1050
A cone has a volume of 4823.04 cubic inches and a radius of 16 inches. What is its height? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ 4823.04 = \frac{1}{3} \times 3.14 \times {16}^{2} \times h \\ 4823.04 = 268.08h \\ h = 17.99 \: inches[/tex]