Answer:
37/10
Step-by-step explanation:
brainliest plz
for first answering
Answer:
3 7/10
Step-by-step explanation:
️️️️️️️️️️️
In Triangle ABC with vertices A(-5,-4), B(3,-2), and C(-1,6), M is the midpoint of AB and N is the midpoint of BC. Show that MN = 1/2 AC. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online
The midpoint of a line divides the line into equal segments.
See below for the proof of [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]
The given parameters are:
[tex]\mathbf{A = (-5,-4)}[/tex]
[tex]\mathbf{B = (3,-2)}[/tex]
[tex]\mathbf{C = (-1,6)}[/tex]
The coordinates of M (midpoint of AB) are calculated as follows:
[tex]\mathbf{M = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]
So, we have:
[tex]\mathbf{M = \frac{1}{2}(-5 + 3, -4-2)}[/tex]
[tex]\mathbf{M = \frac{1}{2}(-2, -6)}[/tex]
[tex]\mathbf{M = (-1, -3)}[/tex]
The coordinates of N (midpoint of BC) are calculated as follows:
[tex]\mathbf{N = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]
So, we have:
[tex]\mathbf{N = \frac{1}{2}(3 - 1, -2 +6)}[/tex]
[tex]\mathbf{N = \frac{1}{2}(2, 4)}[/tex]
[tex]\mathbf{N = (1, 2)}[/tex]
Distance MN is:
[tex]\mathbf{MN = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{MN = \sqrt{(-1 - 1)^2 + (-3 - 2)^2}}[/tex]
[tex]\mathbf{MN = \sqrt{29}}[/tex]
Distance AC is calculated as follows:
[tex]\mathbf{AC= \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{AC= \sqrt{(-5 - -1)^2 + (-4 - 6)^2}}[/tex]
[tex]\mathbf{AC= \sqrt{116}}[/tex]
Split
[tex]\mathbf{AC= \sqrt{4 \times 29}}[/tex]
Take positive square root of 4
[tex]\mathbf{AC= 2\sqrt{29}}[/tex]
To prove that:
[tex]\mathbf{MN = \frac{1}{2}AC}[/tex]
We have:
[tex]\mathbf{\sqrt{29} = \frac{1}{2} \times 2\sqrt{29}}[/tex]
[tex]\mathbf{\sqrt{29} = \sqrt{29}}[/tex]
The above equation is true.
Hence. [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]
Read more about midpoints and distance at:
https://brainly.com/question/11231122
Find the value of x. Then find the measure of each labeled angle.
Answer:
x = 114°
Step-by-step explanation:
x + (x - 48) = 180
2x = 228
x = 114
114 - 48 = 66
Solve for y in terms of v, w, x, and z.
wy=–zvx
Answer:
y = (-zvx)/w
........
Is g correct? I need help in this
complete the following statements of congruence zyx
Answer:
cba
Step-by-step explanation:
yes correct answer x yimes h yomes z
can someone answer this
Answer:
b.d-6 that's the correct answer
Answer:
it is a
Step-by-step explanation:
draw a suitable line on the grid and use your graphs to solve the equation 2/x - x^2 =5x
Answer:
I graphed the answer above in the image
Which relationship is NOT a function?
Answer:
a
Step-by-step explanation:
Answer:
If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function. If more than one intersection point exists, then the intersections correspond to multiple values of y for a single value of x (one-to-many).
Step-by-step explanation:
PLEASE HELP complete the construction a perpendicular line to segment AB through point P.
Answer:
.
Step-by-step explanation:
sorry i can't help
State if the triangle are similar amd if they are, give the reasons AA SSS SAS
which triangles?
i see no triangles
try again bro
3(x+1)=2(x-3) whats the answer
The answer is -9
I dont know the step-by-step used a calculator
Which equation represents “fifteen more than r is sixty-one?”
Answer:
r + 15 = 61
Step-by-step explanation:
Your mom opens an account to save money for a family vacation. The account earns an animal interest rate of 4%. She earns $37 in simple interest after 6 months. How much money did she put in the account when she opened it? Use the formula: I=prt
Answer:
I = $ 0.74
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
putting time into years for simplicity,
6 months ÷ 12 months/year = 0.5 years,
then, solving our equation
I = 37 × 0.04 × 0.5 = 0.74
I = $ 0.74
The simple interest accumulated
on a principal of $ 37.00
at a rate of 4% per year
for 0.5 years (6 months) is $ 0.74.
BRAINLIEST PLEASE
if i fill the 42 L tank in my car and take a 360km trip. If my car consumes gasoline at a rate of 8 L per 100km how muck farther can i go before i run out of gasoline.
Using the principle of proportional relationship, the 42 L of gas can go for a further 165 km
Consumption rate = 8L for 100 km
Km per Litre :
8L = 100km
1 L = m
8m = 100
m = (100 ÷ 8)
= 12.5 kilometer per Litre
Number of kilometers for 42 L
12.5 km = 1 L
m = 42 L
Cross multiply
m = 12.5 × 42
m = 525 km
The difference in the distance = 525 - 360 = 165 km
Therefore, the gas can go for a further 165 km
Learn more : https://brainly.com/question/18112348
Will mark brainly if correct please help
Answer:
n=7Step-by-step explanation:
84×2=n×24168=24n168/24=nn=7HELP PLEASE I NEED HOW TO DO IT AND THE ANSWER FAST PLEASE
Answer:
4
Step-by-step explanation:
factor the numerator and denominator and cancel the common factors
Yolanda would like to attend a 12-month program that will certify her as a court reporter. The program costs $8,500 in tuition, fees, and books and will allow her to make
about $31,250 a year when she becomes certified. She will not have time to work during the year of training. Assuming she could make $18,000 a year without the
training, how many years will it take her to recoup her investment? years
Answer:
15 months and 8 days
Step-by-step explanation:
31,250 / 12 = 2604.16667 8,500/ 2604.16667 = 3.264 months of second year 12 + 3.264 = 15.264 months days 30 * 0.264= 7.92 add the together = 15 months and 8 days
PLEAS HELP SOLVE FOR A WITH STEPS PLZ DUE TONIGHT
Ans wer
i dont know hmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
add 8 to m, multiply the result by 4, then add 3 to what you have
(8 + m)4 + 3
This is ur answer have a good day
For brainily please help
LOL LAST 1 IM SORRY AHHHH !!!!
Answer:
102
Step-by-step explanation:
Answer:
Fairly easy just 180-102-30= 48 degrees So since you know the third angle within that triangle just take 180 - 48 which gives you 132 degrees. 132 is the angle FGH.
Step-by-step explanation:
180- 102 - 30= 48 degrees
180 - 48 = 132 degrees
you divide a number by 3, add 6, then subtract 7. The result is 4. What is the number?
Answer:
15
Step-by-step explanation:
15 because 15 divided by 3 equals 5 + 6 equals 11 and 11 minus 7 equals 4
How to solve this question ????
Help me please
(√5+1)²
guys pls help me
[tex]( \sqrt{5} + 1 {)}^{2} \\ calculate \\ \\ 5 + 2 \sqrt{5} + 1 \ \\ \\ = 6 + 2 \sqrt{5} \\ \\ in \: \: alternate \: \: form \: \\ \\ 10.47214 \\ \\ hope \: it \: \: helps \\ \\ [/tex]
Step-by-step explanation:
Here is your answer . The logic I have shared above to solve this equation
Expand the brackets in this expressions
(2y)²
Answer:
4y²
Step-by-step explanation:
(2y)² = 2²*y² = 2*2*y² = 4y²
Need some assistiance.
Answer:
B. 1 1/7
Step-by-step explanation:
Pls, choose me as brainliest!
Maizes grandmother open the second account with $75 for her when she was born the account is 4% simple interest each year when Maize is 10 years old how much will she have in the savings account?
Answer:
She'd have $45
Step-by-step explanation:
4% of 75 is 3 dollars.
So 3 dollars per year and after 10 years the account lost $30 to the simple interest.
3*10(AmountOfYears)=30
So 75-30=45
$45 would be left in the savings account.
Help me Plz :))
What are the dimensions of AB?
Answer:
c 2*3
Step-by-step explanation:
I think its correct
Tony can cycle a distance of 9 5/6 in 3/5 hours. What is his unit rate?
Answer:
19.66
Step-by-step explanation:
9.83 / 0.5
19.66
Sorry if it is not correct but I think that this is the corrcet answer.
are two of the same looking triangle but different sizes mean they are congruent?
Answer:
No
Step-by-step explanation:
They are similar
Answer:
Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles. The four triangles are congruent with each other regardless whether they are rotated or flipped. The congruence of two objects is often represented using the symbol
Step-by-step explanation: