what is the perimeter of the triangle. i do not know how to start this problem. any help will be greatly appreciated :))
Answers
Given:
Point F,G,H are midpoints of the sides of the triangle CDE.
[tex]FG=9,GH=7,CD=24[/tex]
To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}DE=FG[/tex]
[tex]DE=2(FG)[/tex]
[tex]DE=2(9)[/tex]
[tex]DE=18[/tex]
GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}CE=GH[/tex]
[tex]CE=2(GH)[/tex]
[tex]CE=2(7)[/tex]
[tex]CE=14[/tex]
Now, the perimeter of the triangle CDE is:
[tex]Perimeter=CD+DE+CE[/tex]
[tex]Perimeter=24+18+14[/tex]
[tex]Perimeter=56[/tex]
Therefore, the perimeter of the triangle CDE is 56 units.
Related Questions
HELP HEP HELP LAST ONE OMG
Answers
The sum of three consecutive odd integers is 189. What
are the integers?
Answers
Answer:
61, 63, 65
Step-by-step explanation:
n + n+2 + n+4 = 189
3n = 183
n = 61
Answer:
The three consecutive odd integers are 61, 63, and 65
Step-by-step explanation:
Let the three consecutive odd integers be:
n + 1, n + 3 and n + 5
Therefore:
n + 1 + n + 3 + n + 5 = 189
3n + 9 = 189
3n = 180
n = 60
n + 1 = 61
n + 3 = 63
n + 5 = 65
Please answer the question above
Answers
Answer: 15.4 m
Step-by-step explanation:
The area of a parallelgoram is:
A = bh,
where b is the base and h is the height.
We know that the base is 7.7 meters, and the height is 2 meters, so we can substitute:
A = 7.7 (2)
A = 15.4 m
Hope this helps! :)
A central angle of a circle measures π/3 radians.The length of the minor arc intercepted by this central angle is 7 inches. Find the length of the radius of the circle.
Answers
9514 1404 393
Answer:
6.68 in
Step-by-step explanation:
The length of an arc is given by ...
s = rθ . . . . θ in radians
Then the radius is ...
r = s/θ
r = (7 in)/(π/3) = 21/π in ≈ 6.6845 in
The radius of the circle is about 6.68 inches.
Answer:
Solution :-Angle of circle = π/3 r
Length of minor arc = 7 in
Now
We know that
Radius = Length/Angle
Radius = 7/(π/3)
Radius = 7/π × 3
Radius = 21/π
[tex] \\ [/tex]
the linear function g is defined by g(x)=4x. show that g(3) and g(2) have a difference of 4.
Answers
Answer:
the answer is D.
Step-by-step explanation:
well, the y-intercept for f(x) is at
as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.
for g(x), well an y-intercept is when x = 0, what is it from that table? well, is at 0,3, so when x = 0, y = 3, so no dice on that one.
c)
whenever an x-intercept occurs, y = 0, for f(x) that's at
what about the x-intercept for g(x)? well, let's check, when is y = 0? aha! at -9, 0, so when y = 0, x = -9, so no dice on that one either.
d)
well, what is the slope of g(x) anyway? well, let's pick two points off the table to get it hmmm the first two let's use,
and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.
well, 2/3 is larger than 1/3, so no dice.
b)
well, you already know.
Naomi's bill for breakfast at a restaurant was $82.She left a15% tip.What was the amount of the tip?
Answers
Answer:
$12.30 is the tip
Answer:
$12.30 is the answer.
Step-by-step explanation:
82 * 0.15 = 12.3
A restaurant sells large and small bowls of soup. A 150-ounce pot of soup can make 10 large bowls. A small bowl of soup is 3/5 the size of a large bowl. How many small bowls of soup can be served from a 108 once pot of soup
Answers
12 small bowls of soup can be served from a 108 ounce pot of soup
150-ounce pot of soup can make 10 large bowls. Hence:
Number of ounce in each large bowl = (150 / 10) = 15 ounce per bowl
For 108 ounce pot of soup:
Number of bowls = 108 ounce / (15 ounce per bowl) = 7.2 large bowls
1 small bowl = (3/5) large bowl
7.2 large bowl = 7.2 large bowl / (3/5 large bowl per small bowl) = 12 small bowls
Therefore, 12 small bowls of soup can be served from a 108 ounce pot of soup.
Find out more at: https://brainly.com/question/21105092
3x - 2x + 1 = 8
How do I solve this
Answers
Answer:
x = 7
Step-by-step explanation:
3x - 2x + 1 = 8
x + 1 = 8
*subtract 1 from both sides
x = 7
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Combina los términos semejantes
[tex]3x-2x+1=8\\x+1=8[/tex]
Resta 1 de ambos lados de la ecuación
[tex]x+1-1=8-1\\[/tex]
Simplifica y resta los números
[tex]x=7[/tex]
find the perimeter and area of the shape based on the information provided
Answers
Answer:
If you were to attach the shape, I could help.
tell whether a triangle can have the given angle measures:
47°, 109°, 23°
Answers
Explanation: All the angles of a triangle has to add up to 180. The angles you provided adds up to 179, which does not equal 180. That means it can’t be a triangle.
Answer:
No
Step-by-step explanation:
47 + 109 + 23 = 179
But the angle sum of a triangle is 180.
What is 2 1/2 x 5 as a fraction and how
Answers
Answer:
12.5
Step-by-step explanation:
2 1/2 or 2.5 (in decimal form) times 5 equals 12.5
By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is,
⇒ 2 1/2 × 5 = 25 / 2
What is mean by Multiplication?The multiplication of numbers means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed as a process of repeated addition.
We have to given that;
The expression of the multiplication is,
⇒ 2 1/2 × 5
Now, We can multiply the numbers as;
Here, The expression of the multiplication is,
⇒ 2 1/2 × 5
Change into improper form;
⇒ 5/2 × 5
⇒ 5 x 5 / 2
After multiply the numbers as;
⇒ 25 / 2
Therefore, By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is written as,
⇒ 2 1/2 × 5 = 25 / 2
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
i really need help please
Answers
Answer:
a = 4, x = 1
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , then
WX = YZ , that is
a² + 5a = 5a + 16 ( subtract 5a from both sides )
a² = 16 ( take the square root of both sides )
a = ± [tex]\sqrt{16}[/tex] = ± 4
Since a > 0 , then a = 4
Also
XY = WZ , that is
x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Since x > 0 , then x = 1
The area of a triangle is 36 cm square. Give three possible sets of dimensions for the triangle and explain whether or not you can also give the triangles' side length.
Answers
Answer:
[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]
[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]
[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]
Step-by-step explanation:
Given
Shape: Triangle
[tex]Area = 36cm^2[/tex]
Solving (a): Three possible dimensions
The area of a triangle is:
[tex]Area = 0.5 * Base * Height[/tex]
Let: [tex]Base = 6cm[/tex]
So, we have:
[tex]36= 0.5 * 6* Height[/tex]
[tex]36= 3* Height[/tex]
Solve for Height
[tex]12 = Height[/tex]
[tex]Height = 12[/tex]
So, a possible dimension is: [tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]
Let: [tex]Base = 4cm[/tex]
So, we have:
[tex]36= 0.5 * 4* Height[/tex]
[tex]36= 2* Height[/tex]
Solve for Height
[tex]18 = Height[/tex]
[tex]Height = 18[/tex]
So, a possible dimension is: [tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]
Let: [tex]Base = 9cm[/tex]
So, we have:
[tex]36= 0.5 * 9* Height[/tex]
[tex]36= 4.5* Height[/tex]
Solve for Height
[tex]8 = Height[/tex]
[tex]Height = 8[/tex]
So, a possible dimension is: [tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]
So, the three possible dimensions are:
[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]
[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]
[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]
Solving (b): Can the side lengths be given
We can only determine the base and the height of the triangle, the third side length can not be determined using the available information
The scale of map is 1cm : 70km. What is the actual distance between towns that are 5cm apart on the map
Answers
Answer: 350km
Step-by-step explanation:
Since we are informed that the scale of map is 1cm : 70km. Therefore, the actual distance between towns that are 5cm apart on the map will be:
= 5 × 70km
= 350km
Therefore, the answer is 350km
Can any of these get round to the Nearest tenth
Answers
Answer:
They both can First=1,885 second=628.3
Step-by-step explanation:
Answer:
Yes, I belive so. For the first one (1.884.95592), you have to round them starting with the lowest place number and work your way up.
PLZZZZZ HELPPPP!!!! i'm very confused on what to do !!!! what is the length of the apothem of a regular hexagon with 16cm side lengths round to the nearest tenth
Answers
Answer:
A = 4.6 cm
Step-by-step explanation:
Here, we want to find the length of the apothem, given the side lengths
Mathematically, we have this as;
A = s/2 tan (180/n)
where in this case;
s is the length of the sides which is 16 cm
n is the number of sides (since it is hexagon, we have this as 6)
Substituting these values;
A = 16/2 * tan (180/6)
A = 8 * tan 30
A = 4.62
To the nearest tenth, A is 4.6 cm
Please answer correctly and no links pls
Answers
Answer: 13.) 49, 14.) 64
Step-by-step explanation:
7x7=49, 8x8=64
!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)
Answers
Answer:
z=23
Step-by-step explanation:
hope this helps! :)
Each hour, every person who knows a rumor tells two other people. If one person starts the rumor, then after the first hour, three people know the rumor. The next hour, those three people each tell two more people. After eight hours, how many people will know the rumor? You do not have to include units in your answer. (I've asked this question before but the answer I got was 384 and it was incorrect)
Answers
Answer:
64
Step-by-step explanation:
In this problem n is 6 which represents the sixth and final hour of the period. Therefore gn = g6.
g1 = 2 which is the first value in the sequence which corresponds to the first hour where 2 people know the rumor.
r = the common ratio is 2, because each successive hour the people who know the rumor doubles... {2, 4, 8...}.
Substitute into equation: g6 = 2 x 26-1 = 2 x 25 = 2 x 32 = 64 Answer is 64.
Please help! I need answers for both questions it’s very confusing!
Answers
Answer:
for number 5 its:
-15 -8 8/9 -3.3
and for number 6 its:
-3.3 -8 8/9 and -15
also sorry if its wrong
The answer to number 1 would be:
-15 < -8 8/9 < -3.3
The answer to number 2 would be:
15 < -3.3 < -8 8/9
I hope this helped, and have an awesome day! <3
Order the numbers from least to greatest.
23% , 1/4 , 0.225 .
Answers
Step my step
23% = 0.23
1/4 = 0.25
HELP ME PLS! FOR THE FIRST & SECOND ONE! 10 POINTS EACH!!!
Answers
Answer:
y=(0,-1)
x= 2/3
Graph: I went to use Math...way and plug up the equation
Step-by-step explanation:
If interest is compounded twice a year, at what annual rate must you invest $2000 to have $3000 at the end of 6 years?
Answers
Step-by-step explaination
How to calculate interest compounded semiannually
Add the nominal interest rate in decimal form to 1. The first order of operations is parentheses, and you start with the innermost one. ...
Solve step one to the power of how many compounding periods. ...
Subtract from step two. ...
Multiply step three by the principal amount.
Can you answer 1 and 2
Answers
Answer:
You have them both correct. #1 is B #2 is C
Step-by-step explanation:
Aside from playing scrabble, what ither indoor recreational activities would you intiate in your family/community despite tha pandemic?
Answers
Solve the linear inequality: x ≤ -x + 4
Answers
Answer:
x ≤ 2
Step-by-step explanation:
i hope this helps :)
for brainiest:):):):):):):)
Answers
Answer:
1: 55
2: 128
3: 175
Step-by-step explanation:
I believe that this is correct.
yeah please help me
Answers
Answer:
Its B and E
Step-by-step explanation:
PLS MAKE ME BRAINLIEST
Which statement correctly compares the parking rates for each lot?
O Lot A costs $4.20 less per hour than Lot B.
O Lot A costs $0.10 more per hour than Lot B.
O Lot B costs $0.05 less per hour than Lot A.
O Lot B costs $0.01 more per hour than Lot A.
Answers
Answer: O Lot B costs $0.01 more
Step-by-step explanation: I think it’s O Lot B costs $0.01 more per hour than Lot A
B3BB
Which graph represents the solution set of the inequality x+226?
986
08
4
9 S
7
8
6
+
0 1 -
SS 986
1
2
3
S
6
7
6 8
1 S 986
0
1
2 3
4.
5
9
7 8 9
0
1
2
S
4
5
9
B 2
6
Answers
Answer:
C is correct
Step-by-step explanation:
Firstly, we have to solve for x in the solution set of the inequality
We have this as follows;
x + 2 ≥ 6
x ≥ 6-2
x ≥ 4
To graph this, we consider the middle sign which is greater than or equal to
So, the inequality sign has to face the right side
secondly, it has to be shaded on the point 4 due to the fact that it has the ‘equal to’ beneath the single inequality symbol
so, the correct answer here is option C
