Answers
Answer:
See below.
Step-by-step explanation:
30.
E(1, 2), F(5, 6), G(3, -2)
a)
H, midpoint of segment EG
H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)
J, midpoint of segment FG
J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)
b)
Show that segment HJ is parallel to segment EF.
Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.
slope of segment HJ:
slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1
slope of segment EF:
slope EF = (6 - 2)/(5 - 1) = 4/4 = 1
slope HJ = slope EF = 1
Segments HJ and EF are parallel since their slopes are equal.
c)
Show HJ = (1/2)EF
We use the distance formula to find the lengths of segments HJ and EF.
length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)
length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)
HJ = (1/2)EF
Substitute the lengths we found just above for HJ and EF:
2sqrt(2) = (1/2)[4sqrt(2)]
2sqrt(2) = 2sqrt(2)
The two sides are equal, so we have proved that HJ = (1/2)EF.
Related Questions
Oil prices are projected to increase by 75% by next May. A quart of oil currently costs $2.15. What is the projected cost of a gallon of oil next May? Round your answer to the nearest hundredth.
Answers
Answer:
Future cost per gallon= $15.05
Step-by-step explanation:
Giving the following information:
Oil prices are projected to increase by 75% by next May. A quart of oil currently costs $2.15.
We know that 1 quart equals 0.25 gallons.
First, we will determine the actual cost per gallon.
Actual cost per gallon= 2.15*4= $8.6
Now, the cost for May:
Future cost per gallon= 8.6*1.75
Future cost per gallon= $15.05
Answer:
15.05
Step-by-step explanation:
What is the answer to this question?
will get awarded with brainliest
(4a2+2)(6a2-a+2)
Answers
Answer:
Multiply each term in the first expression by each term in the second expression and combine like terms.
24a3+8a2+6a+4
Step-by-step explanation:
Answer:
[tex]24a^3+8a^2+6a+4[/tex]
Step-by-step explanation:
Hope it will help you
Which equation is a point slope form equation for line AB?
y+1=−2(x−6)
y+2=−2(x−5)
y+6=−2(x−1)
y+5=−2(x−2)
Answers
Answer:
Option 2: y+2=−2(x−5) is the correct answer.
Step-by-step explanation:
We can see two points on the line A and B.
Their coordinates are:
A = (x1,y1) = (1,6)
B = (x2,y2) = (5,-2)
The point slope form is given as:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is the slope which is found using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values
[tex]m = \frac{-2-6}{5-1}\\m=\frac{-8}{4}\\m = -2[/tex]
Putting the value of slope
[tex]y-y1 = -2(x-x_1)[/tex]
Putting both points to get two forms of point slope form of equation
Putting (1,6):
[tex]y-6 = -2(x-1)[/tex]
Putting (5,-2):
[tex]y+2 = -2(x-5)[/tex]
Looking at the equations and options it can be concluded that
Option 2: y+2=−2(x−5) is the correct answer
-66/22 to a decimal PLEASE I NEED THE ANSWER!!! I'LL MARK BRAINLIEST
Answers
Answer: -3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
To turn a fraction into a decimal, all we need to do is divide the numerator by the denominator. But first, we can simplify! -66/22 simplifies to -3/1 when you divide by 22 on the top and bottom. Now, it's a lot easier to divide. -3/1=-3. -3 is technically already a decimal...you just can't see the decimal point. The decimal point is actually behind -3, so it looks like this: -3.0
Have a great day! Hope this helps!!! ^^
(6th grade math)
68.2x8.4=?
Answers
Answer:
572.88
Step-by-step explanation:
Use a calculator it makes it easier
The solution of expression 68.2 × 8.4 after multiplying is,
⇒ 572.88
Given that,
A mathmatical expression to solve,
⇒ 68.2 × 8.4
Now, simplify the number and then multiply as,
⇒ [tex]68.2 \times 8.4[/tex]
⇒ [tex](68.2 \times \dfrac{10}{10} )\times ( 8.4 \times \dfrac{10}{10} )[/tex]
After multiplication the numbers we get;
⇒ [tex]\dfrac{682}{10} \times \dfrac{84}{10}[/tex]
⇒ [tex]\dfrac{57,288}{100}[/tex]
⇒ [tex]572.88[/tex]
Therefore, the solution of expression 68.2 × 8.4 is,
⇒ 572.88
Learn more about the multiplication visit:
brainly.com/question/10873737
#SPJ6
i have a question can someone help me!!
−7+m/2=−12
Solving Two-Step
Answers
Answer:
m=-10
Step-by-step explanation:
Answer: m = -10
[tex]-7+\frac{m}{2} =-12\\\\<=>\frac{m}{2}=-5\\\\<=>m=-5.2=-10\\[/tex]
Step-by-step explanation:
Can someone plz explain I would appreciate it
Answers
Answer:
Angle of depression
Step-by-step explanation:
HELP WILL MARK BRAINLIEST
Answers
Answer: 4√5
Step-by-step explanation:
Answer: 4/5
Step-by-step explanation:
Please help me before I fail... I really need some help <3 please ;-;
Answers
Answer:
sin( 61) = x/55
55(sin(61)) = x
48.1 = x
Hope this helps!
(80i) – (80 + 101) =
Express your answer in the form (a + bi).
Answers
Answer:
- 80 + 70i
Step-by-step explanation:
Given
80i - (80 + 10i) ← distribute by - 1
= 80i - 80 - 10i ← collect like terms
= - 80 + 70i
Answer:
(80 i) - (80 + 101)
80 i - ( 181)
-181 + 80 i
Step-by-step explanation:
Miguel made 6 identical necklaces each, having beads and a pendant. The total cost of the beads and the pendant for all 6 necklaces was $29.40. If the beads cost a total of $19.80, how much did each pendant cost?
Answers
Answer:
29.40-19.80=9.6
9.6/6=1.6
So the answer is $1.60
Step-by-step explanation:
I will give brainliest to right answer
7th grade math
12 = 5/2 b
find the value of b
Answers
Answer:
[tex]\huge\boxed{b=\dfrac{24}{5}\to b=4\dfrac{4}{5}\to b=4.8}[/tex]
Step-by-step explanation:
[tex]12=\dfrac{5}{2}b\to\dfrac{5}{2}b=12\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{5}{2\!\!\!\!\diagup}b=12\cdot2\\\\5b=24\qquad|\text{divide both sides by 5}\\\\\dfrac{5b}{5}=\dfrac{24}{5}\\\\b=\dfrac{24}{5}\to b=4\dfrac{4}{5}\to b=4.8[/tex]
A concession stand charges $2.50 for a bag of popcorn. The stand has already sold 30 bags of popcorn. How many more bags x of popcorn must be sold to earn at least $110? Write your answer as an inequality.
Answers
Answer:14 more bags must be sold
Step-by-step explanation:
hope it helped cause 2.50 times 44 gives you 110 and you already have 30 so 44 minus 30 gives you 14
Answer: 1 , 3 , 4 , 5
Question: Which of the following sentences are written in dialect? Check the four boxes that apply.
“It was the most thrillingist one that ever was; and so he went on a-bragging.”
“I stood by the duke at the door.”
“He will be deeply obleeged if they will mention it to their friends.”
“We are sold – mighty badly sold.”
“What they wanted was low comedy.”
“These Arkansaw lunkheads couldn’t come up.”
Answers
I assume that it is 1, 3, 4, and 5. Correct me if I'm wrong. Plz give brainliest if I'm right.
Answer:
1. “It was the most thrillingist one that ever was; and so he went on a-bragging
3 “He will be deeply obleeged if they will mention it to their friends.”
4.“We are sold – mighty badly sold.”
6. “These Arkansaw lunkheads couldn’t come up.”
Step-by-step explanation:
Edge-2021
Carter can bake 11 cookies with each scoop of flour. With 4 scoops of flour, how many cookies can Carter bake?
Answers
Answer:
44 cookies
Step-by-step explanation:
1 scoop = 11 cookies
11 cookies * 4 scoops = 44 cookies
HELP WITH MY GEOMETRY REVIEW
Answers
2. Supplementary angles
3. Same side interior angles
4. Alternate interior angles
determine whether the relation is a function
Answers
Answer:
Step-by-step explanation:
16). The relation is a function.
17). The relation is a function.
Solve for
9
19
17
None of the above
Other:
Answers
Answer:
none of the above,
Step-by-step explanation:
The answer would be seven because the angle they're looking for is complementary, meaning that the angles would have to equal 90 degrees.
1. add up angles given
2. subtract what you get from that by 90
what is the anwser if it is 4/-1
Answers
Explanation:
Answer:
-4 for else the other sign as no value as of I knw
What is the circumference of a circle
with radius 64 inches? Write your answer
using PI.
Answers
Answer:
C≈402.12in
Step-by-step explanation:
The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius
HELP PLEASE I NEED TO GET IT DONE BECAUSE ILL BE WITH MY FAMILY AT THANKSGIVING TOMORROW
Solve for x in the diagram below
Answers
Answer:
6
Step-by-step explanation:
Straight line is 180
square = right angle=90
180-90=90
5x+(x+54)=90
6x+54=90
6x=36
x=6
Hope this helps :D
given m/n find the value of x if (x-3) and if (8x +3 )
Answers
Answer:
x= 8 Step-by-step explanation:
A magazine contains 80 pages of advertisements. This represents 64% of the total pages in the magazine. How many total pages are in the magazine?
Answers
Answer:
125 pages
Step-by-step explanation:
Since 80 is 64% of unknown x we can write the equation 80/x=64/100. Now cross multiply to get 8000=64x. Divide both sides by 64 to get 125=x.
Jenny earns $5.50 per hour to babysit plus a flat fee of $10.50 for travel. If Jenny
earned $32.50 on Saturday, how many hours did she babysit?
Answers
Answer:
She must have earned 16 dollars
Step-by-step explanation:
January 30,2019 was the coldest day in minieapolis-St. Paul in over 20 years. The lowest tempeauture recorded that day was -28F. The warmest temperature was 15 higher
Answers
Answer:
The warmest temperature was -13FStep-by-step explanation:
We are expected to compute the warmest temperature recorded at Minneapolis
Step one:
We are told that on January 30th of 2019 was the coldest day at Minneapolis
hence the temperature reading= -28F------this is like 28 points away from 0 on the number line
Step two:
We are given that the warmest temperature recorded is 15F higher.
since the -ve sign represent cold or snowy weather, the warm temperature
is gotten by adding 15F to the negative temperature
=-28+15
= -13F
The warmest temperature was -13F
Please anwser the 3 questions above I will mark brainiest!!!! Pretty please!
Answers
Answer:
1. the first one
2. the third one
3. the third one
Step-by-step explanation:
Function 1: Alan starts with $30 this week. He spends $5.30 per week. Let y be the amount remaining as a function of the number of weeks, X. 0 30 1 24.70 2 19.40 3 14.1
Answers
Answer:
y = 30 - 5.30x
Step-by-step explanation:
y-intercept: 30
slope: 5.30x
Just plug in the amount of weeks on x, and then subtract from 30.
But all this-the mysterious, far-reaching hair-line trail, the absence of sun from the sky, the tremendous cold, and the strangeness and weirdness of it all-made no impression on the man.
What can you infer about the man from the excerpt above?
Answers
Answer:huh
Step-by-step explanation:
Explanation
If the man is completely unaffected by the bad weather that means he is very focused or serious about something.
your car gets 25 miles per hour and you want to go on a 400 mile road trip right now gas costs 2.59 per gallon how much would the gas for you road trip cost??
Answers
Answer:
40.96
Step-by-step explanation:
25 400
2.56 ?
400*2.56
=1024
1024/25
=40.96
An island has some portion submerged in water. Point A on the island is at negative 7 over 3 feet from the surface of the sea. Point B on the island is at negative 5 over 2 feet from the surface of the sea. Because negative 7 over 3 feet > negative 5 over 2 feet, what is true about the distance of the two points from the surface of the sea?
Answers
Answer:
1/6feet
Step-by-step explanation:
Given
Point A on the island = -7/3 feet from the sea surface
Point B on the island = -5/2 from the sea surface
The distance between the two points will be Point A - Point B
Distance between the two points = -7/3 - (-5/2)
= -7/3+5/2
Find the LCM
= {2(-7)+3(5)}/6
= -14+15/6
= 1/6
Hence the distance of the two points from the surface of the sea is 1/6feet
Answer:
1 / 6 feet
Step-by-step explanation: