4) The given figure shows ∆ABC. Points D,E and F are the mid-points of sides AB,AC and BC respectively. Sides AB, BC and CA measure 6 cm, 10 cm and 8 cm respectively. What is the area of ∆DEF? *
Answers
Answer:
the area of ∆DEF = 6 cm²
Step-by-step explanation:
The midpoint theorem states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
DE // BC and DE = BC/2 = 10/2 = 5
same reason: DF = AC/2 = 4
FE = AB/2 = 3
DF² + FE² = 16 + 9 = 25 = 5² = DE²
by the Pythagorean theorem, ΔDFE is a right triangle
area ΔDEF = (3 x 4) / 2 = 6 cm²
Related Questions
2x2 + 3x - 5 = (2x + 5)(?)
please help whats the missing numbers
Answers
Answer:
(2x+5)(x-1)
Step-by-step explanation:
2x²+3x-5= 2x²+5x-2x-5=x(2x+5)-1(2x+5) = (2x+5)(x-1)
Three times Mary's age added to Beth's age is 34 years. Half of Mary's age minus Beth's age is 1 year. How old are Mary and Beth?
Answers
Answer:
It’s 15 and 17
Step-by-step explanation:
34-7x=2y
-13 -13
(15,17)
What is 2 13/18 - z = 1 19/36
Answers
Answer z= 43/36
Step-by-step explanation:
We have given,
2 13/18 - z = 1 19/36
Since 2 13/18 = 49/18 and 1 19/36 = 55/36
So we can write,
2 13/18 - z = 1 19/36
or 49/18 - z = 55/36
or 49/18 - 55/36 = z
or (98 -55)/36 = z
or 43/36 = z
Hence we got z = 43/36
Meg and Tanner take a road trip together where they take turns driving. The ratio of the number of miles that Meg drives to the number of miles that Tanner drives is 4:3. If Meg drives 112 miles, what was the length of the trip?
Answers
Answer:
Step-by-step explanation:
[tex]\frac{Meg}{Tanner}[/tex] = [tex]\frac{4}{3}[/tex]
total dist. driven = dist. Meg drove + dist. Tanner drove
Meg = 112
Tanner = x or how far did Tanner drive?
[tex]\frac{112}{x}[/tex] = [tex]\frac{4}{3}[/tex]
[tex]\frac{3}{4}[/tex] * 112 = x
84 =x so Tanner drove 84 miles
total driven = 112 + 84
total driven = 196 :)
Fine the equation of the line that is perpendicular to the given line and passes through the given point. Enter the right side of the equation as a single fraction. y=7x-1/4;(5,5)
The equation is y=
Please help it’s urgent! :)
Answers
Answer:
[tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]
Step-by-step explanation:
Change the given equation to slope-intercept to get [tex]y=\frac{7}{4}x-\frac{1}{4}[/tex]. When you multiply the slopes of perpendicular lines, you get -1. -1 divided by [tex]\frac{7}{4}[/tex] is [tex]-\frac{4}{7}[/tex]. The slope of the new line is then [tex]-\frac{4}{7}[/tex]. The perpendicular line passes through (5, 5) so you can have the equation[tex]5=-\frac{4}{7} (5)+b[/tex]. Simplifying gets [tex]b = \frac{55}{7}[/tex] . So now the final equation for the perpendicular line is [tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]
help please!!!!!!!!
Answers
Solve the exponential equation for x 56^(3x-8)=1
Answers
Answer:
x=8 over 3
Step-by-step explanation:
Please help. I really don't seem to understand this question.
Answers
Answer:
m3=15(8)+22=142
m1=19(8)-10=142
Both are equal so the answer is Yes they are parallel
Which of the following situations are equal to 2? Select all that apply.
A) 75% of 3
B) 20% of 5
C) 10% of 20
D) 50% of 4
E) 25% of 8
If you answer this you will get 100 points and marked Brainlest.
Please don't put any random anwser.
Answers
Answer:
C, D, and E
Step-by-step explanation:
Hope this helps.
Happy New Year!!
Someone, please answer this ASAP.... it's due today :(
At a fishery, the largest catches in August were of blackfin tuna, sailfish, blue marlin, and king mackerel. The fishery calculated the mean and standard deviation of the weights, in pounds, of each type of fish, as shown in the table. Which data set has the smallest spread?
Answers
Answer:
Blue marlin
Step-by-step explanation:
True or false plz help
Answers
Answer:
I THINK ITS FALSEStep-by-step explanation:
BECAUSE ITS WRONG
Answer:
i'mma go with false
i hope is right
if not sorry
Step-by-step explanation:
A 5 pound tub of cottage cheese at n dollars per pound costs $10.25 .
Write an equation for the following word problem
Answers
Answer:
5n = $10.25
Step-by-step explanation:
We know that the tub is 5 pounds, and costs $10.25. We also know that n is in dollars per pound. Dollars per pound can be written as the product of dollars, divided by pounds, so we can plug that in being n = $10.25/5, next we want to make the equation contain an integer on both sides and not contain any fractions, so we multiply both sides by 5, resulting in 5n = $10.25
Someone help shawty out por favor
Answers
9514 1404 393
Answer:
AC/GI = BC/HI
Step-by-step explanation:
To make use of the SAS similarity theorem, an angle must be shown congruent, and the sides on either side of it must be shown proportional. Here, the congruent angles are ...
∠C ≅ ∠I
and the proportional sides are ...
AC/GI = BC/HI . . . . . . matches the last choice
Find the measure of BEF
Answers
Answer:
the answer will be 140
Step-by-step explanation:
i am not sure
Answer:
B. 30
hope it helps.
and sorry, if it's wrong.
One number is 3 more than 4 times the second number. Their sum is 43. Find the numbers. Answer : The numbers are , .
Answers
Step-by-step explanation:
Let x be the 2nd number.
Then the 1st number is 4x + 3.
We have 4x + 3 + x = 43, 5x = 40, x = 8.
Hence the numbers are 35 and 8.
Solve for x.
X + 10
12x - 50
x = [?]
Answers
Answer: x = 5
Step-by-step explanation:
PLZ HURRY IM BEING TIMED ALSO WILL GIVE BRAIN
Oksana is working to solve the equation 1 3 x = −1 4 x - 10.
1. Add 1 4 x to both sides: 1 4 x + 1 3 x = −10
2. Find a common denominator: 3 12 x + 4 12 x = −10
3. Combine the terms: 7 12 x = −10
What should she do next?
Answers
Answer:
Then she has to divide by 712 into both sides
Step-by-step explanation:
Answer: hope this helps
Step-by-step explanation:
2y + ( 4x+ 7) + (2x+19)|
Answers
Answer:
[tex]2y + (4x + 7) + (2x + 19) \\ = 2y + (4x + 2x) + (19 + 7) \\ = 2y + 6x + 26 \\ = 2(y + 3x + 13)[/tex]
the linear equation y = 400 + 50x represents the total cost, y , per hour, x , for a lawyer at a law firm. The lawyer charges a flat retainer fee and then charge per hour of work done. true or false The y-intercept of the line is 50.
True – The , y, -intercept of the line is 50.
The y-intercept represents the flat retainer fee.
True – The, y, -intercept represents the flat retainer fee.
False – The, y, -intercept represents the flat retainer fee.
The slope of the line is 400.
True – The slope of the line is 400.
False – The slope of the line is 400.
The slope represents the cost of work per hour.
True – The slope represents the cost of work per hour.
False – The slope represents the cost of work per hour.
Answers
Answer:
453
Step-by-step explanation:
because we multiply the value with the equation
Only do 7. iii
I will mark you as brainliest.. I don't have time please fasttt
Answers
Answer:
Check my explanation
Step-by-step explanation:
(i) the area of the floor is 30m² (6m · 5m)
(ii) the perimeter of the floor is 22m (6m + 5m + 6m + 5m)
(iii) the area of the walls is:
24m² (for the 6m by 4m walls)
20m² (for the 5m by 4m walls)
88m² in total total
Find the slope of the line that passes through the points (2, -5) and (3, -6)
Answers
Answer:
slope is -1
Step-by-step explanation:
slope is
m= (y2-y1) / (x2-x1) = -5+6 /2-3 = 1/-1 = -1
Please help me solve this...
Answers
X=-4
(32 +1) + (5 + 7z) =
Help please
Answers
Answer: -5.428
Step-by-step explanation:
33 + 5 + 7z = 0
38 + 7z = 0
7z = -38
z = -38/7
can someone help me out please
Answers
The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub. What does B(9)=11 mean?
Answers
Answer:
B(9) = 11 means the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches
Step-by-step explanation:
Whereby the function is expressed as B(t) = d,
Where;
d = The depth of the water
Therefore, when we have B(9) = 11, by comparing with the general form of the function, B(t) = d, we have;
t = 9 = The time in minutes after Tyler began to fill the bathtub = 9 minutes
d = The depth of the water = 11 inches
Which gives the meaning of the equation, B(9) = 11 as the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches.
What is the probability that a point chosen at random will be in the shaded region?
O 17%
O 83%
O 36%
O 6%
Answers
Can someone please help me
Answers
Answer:
.
Step-by-step explanation:
add 10x to -15
divide each by -15
answer: y= -10/15x+1
-4.32193257293 simplified?????
Answers
Answer:
-4.3
Step-by-step explanation:
:)). Have a blessed day
3/6 is simplest form 12/24 1/2 1/3 Choose the pair of equivalent fractions. 1/2=2/4 3/6=15/24 1/3=3/6 Choose the pair of equivalent fractions. 6/12= 1/4 3/5=6/15 3/12=1/4 Choose the pair of equivalent fractions. 1/2= 12/18 5/3=1/3 1/2=5/10 Which is the correct mixed number for this improper fraction: 36/10 3 6/10 3 3/5 3 1/3 Which one is the correct mixed number for this improper fraction: 10/3 1 7/3 2 4/3 3 1/3 Which improper fraction matches this mixed number: 2 5/8 21/8 15/8 18/8 Which improper fraction matches this mixed number: 4 1/2 7/2 9/2 6/2
Answers
Answer:
1/2 is the simplest form of 3/6
1/2 and 2/4 are equivalent fractions
3/12 and 1/4 are equivalent fractions
1/2 and 5/10 are equivalent fractions
i am not completely sure about the improper fractions. sorry
Step-by-step explanation:
Answer:
3 5/6
Step-by-step explanation:
i took the test hope you pass
Solve the system by substitution.
x + 6y = -2
-x= 3y - 10
Answers
Answer:
x = 22, y = -4
Step-by-step explanation:
x + 6y = -2 --- Equation 1
-x = 3y - 10 --- Equation 2
Equation 2 ×(-1): x = -3y + 10 --- Equation 3
Substitute x = -3y + 10 into Equation 1:
x + 6y = -2
-3y + 10 + 6y = -2
3y + 10 = -2
3y = -2-10
= -12
y = -12 ÷ 3
y = -4
Substitute y = -4 into Equation 3:
x = -3y + 10
x = -3(-4) + 10
= 12 + 10
x = 22