Answer:
x = ∠BCF+ ∠FCG
Step-by-step explanation:
According to the given measure, we can say that, line Fc bisects ∠BCF and ∠FCG and the sum of ∠BCF and ∠FCG is ∠BCG. Mathematically;
∠BCF+ ∠FCG = ∠BCG
Given
∠BCG = 60degrees
∠FCG = 35degrees
Let x be equal to ∠BCG
Hence the required equation will be;
∠BCF+ ∠FCG =x
Swap sides
x = ∠BCF+ ∠FCG
someone please help or i’ll be failing geometry this year
Step-by-step explanation:
I don't know what constructions you were taught.
a "similar" triangle is a triangle with exactly the same angles as the other triangle, but the lengths of all sides are stretched or shortened by the same scaling factor f.
by saying 1:2 she means the second triangle should have sides with twice the lengths of the first triangle (f=2).
and the extra challenge - same basic thing. she allows you to pick one of the two triangles as reference. and then you need to draw a third triangle (again with the same angles) with the side lengths extended by the scaling factor f of 4/3.
I would draw the triangles right on top of each other with the same starting corner (let's call it A) for all 3.
we would get the triangles ABC, AMN and AXY.
the points B and C would be then halfway on AM and AN.
and M and N would then a bit before X and Y on AX and AY.
the beauty is, you only need to construct 2 sides of every new triangle down to the new endpoints. the third side is automatically scaled correctly, and you only need to connect these new endpoints.
let's assume you draw a triangle (just very simple) ABC with all side lengths being 3. so, AB=3, AC=3, BC=3.
now you draw AMN by extending AB and AC to a side length of 6 (f=2) creating M and N, and you connect M and N.
and then you can create the third triangle AXY by extending AM and AN by a factor of 4/3 to side lengths of 8 (4/3 × 6 = 8) creating new end points X and Y. and you connect X and Y.
and that is it. all 3 triangles are similar (the same angles), and all sides of a triangle have the same length ratio to the sides of the other triangle(s).
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 90 pounds. The truck is transporting 50 large boxes and 65 small boxes. If the truck is carrying a total of 4950 pounds in boxes, how much does each type of box weigh?
Answer:
small = 30 pounds
large = 60 pounds
Step-by-step explanation:
two equations can be derived from the question
x + y = 90 eqn 1
50x + 65y = 4950 eqn 2
x = small box
y = big box
multiply equation 1 by 50
50x + 50y = 4500 eqn 3
subtract equation 3 from 2
15y = 450
y = 30
substitute for y in equation 1
y = 60
At lunchtime, 9/10 of the students at a school buy juice. Of those students, 2/3 buy grape juice. What fraction of the students buy grape juice? Write your answer in simplest form.
Step-by-step explanation: 2/3 of 90 (30+30+30) is 60
In the system of equations 4x + 2y = 10 and 12x - 3y = 3, what is the solution?
Hint: SOLVE BY ELIMINATION
Answer:
solution = (3, 11)
Step-by-step explanation:
4x + 2y = 10
*subtract 4x from both sides*
2y = -4x + 10
*divide by 2* --> y = -2x +5
12x - 3 y = 3
*add 3y to both sides*
12x = 3y + 3
*subtract 3 form both sides*
12x - 3 = 3y
*divide by 3* --> y = 4x - 3)
2x + 5 = 4x - 1
*subtract 2x form both sides*
5 = 2x -1
*add 1 to both sides*
6 = 2x
*divide by 2x* --> x = 3
y = 2(3) + 5 (plug in 3 for x to solve for y)
y = 6 + 5
y = 11
Can someone help me with this question ?
Answer:
The input is x2
Step-by-step explanation:
1*2=2
4*2=8 and the rest go on
PLS PLS HELP ASAP!!!
Answer:
2 1/4
Or as a fraction
9/4
6, 8, 11, 12, 2x – 8, 2x + 10, 35, 41, 42, 50
are in ascending order. If the median is 25,
find the value of x.
Ans: 12
Answer:
12
Step-by-step explanation:
(2x-8+2x+10)/2 = 25
(4x+2) = 2×25
4x+2 = 50
4x = 50-2
4x = 48
x = 48/4
x = 12
Answer:
x = 16.5 as the median in this term is 2x-8
and 2x-8 = 25
25+8=2x
33=2x
x=[tex]\frac{33}{2}[/tex]
= 16.5
Step-by-step explanation:
this answer says 12 which is false
Nine students can make a poster in 10 hours how many students join them so that they can all together make this poster in six hours
Answer:
there is not enough information
Please help I’ll make you the brainiest
Help please...
x = 3y
4x + 5y = 34
solve for x and y
Help help
Answer: y=2 and x=6
Step-by-step explanation:
x=3y
4x+5y=34
From equation ( 1) x=3y thus substituting in eqn(2)
4(3y)+5y=34
12y+5y=34
17y=34
y=34÷17=2
Thus y=2
Putting y=2 in eqn(1)
x=3y
x=3(2)
x=6
evaluate the expression 5-(6+3i)+2i
Answer:
-1 - i
Step-by-step explanation:
First, start by distributing the negative sign(-1), and you get:
5 - 6 - 3i + 2i
Next, combine the like terms, 5 & -6, and -3i & 2i.
This gives us: -1 - i
This petite girl, short as can be is gonna jump and be free
-Rachie [My R]
for god sake pls are you serious?! i just can't believe! for a st...upi...d reason you got here before me?!? are you upset cuz you can't have what you wanted?!
Cali has 35 flowers and 7 vases she wants to put the same number of flowers in each vase which question can Cali use to find the number of flowers to put in each vase
Answer:
5
Step-by-step explanation:
35 divided by 7
=5
Determine the volume of the space in the tank that still needs to be filled with water if the water is ⅓ ft. Deep
Answer:
11 1/9 ft^3
Step-by-step explanation:
find the complete question in the attached image
volume of the tank = length x width x height
2 x 5 x 1 2/3
2 x 5 x 5/3 = 50/3 = 16 2/3 ft^3
If the tank is 1/3 filled with water, the volume that needs to be filled with water is 1 - 1/3 = 2/3
volume that needs to be filled with water = 2/3 x volume of the tank
2/3 x 50/3 = 11 1/9 ft^3
Christine runs each lap in 7 minutes. She will run more than 35 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.
Answer:
5 laps
Step-by-step explanation:
35\7
= 5
Therefore your ans is 5
In triangle ABC; AB = 5BC = 8 8. and AC = 7 Name the largest angle of triangle ABC
BCA necau u must add the 3 together
Ryan is writing a composition for homework. He decides to keep track of the number of
sentences he writes compared to the time minutes he works. The graph below shows the data he collected.
At What Rate Does Ryan Write His Composition?
Answer:
Your answer will be 1.5
Step-by-step explanation:
I used my calculator to find out, your welcome:)
What is the area of Triangle EFG? Please help- Geometry isn't my best subject. Immediate answers are appreciated.
Answer:
12
Step-by-step explanation:
(5×6)-½(3×6 + 2×4 + 2×5)
=30 - ½(18+8+10)
= 30 - ½(36)
=30-18= 12
Amanda bought 6 pounds of apples she paid for the apples with a 20 dollar bill and got back 10.52 dollars back how much were the apples per pound pls help
Membership to a music club costs $130. Members pay $5 per music lesson and nonmembers pay $15 per
music lesson. How many music lessons would have to be taken for the cost to be the same for members and
nonmembers?
Non-members would have to take 9 to equal 135
Members would only take 1 plus the membership fee to equal 135.
I don't know if that's what it's asking for but I hope it helps.
3 Edward is scuba diving. He stops 14.3 m below the surface to look at a fish.
Then he swims down 5.8 m to look at a reef. He then swims up 3.2 m.
Which is the best approximation of Edward's current position relative to
the ocean surface?
CONS
Should
subtract
A 12 meters
B 11 meters
C-17 meters
D-23 meters
Dara chose B as the correct answer. How might she have gotten that answer?
Answer:
a. 12 metersStep-by-step explanation:
po ang sagot ko po
#CARRY ON LEARNING18. Emily has a rectangular deck in her backyard with an area of 96 square feet. She wants to increase the size of the deck by doubling each dimension. What will the area of the deck be after she doubles the length and width?
a. 144 square feet
b. 192 square feet
c. 226 square feet
d. 384 square feet
Oscar rides his skateboard 5/8 mile in 1/4 hour. How fast, in miles does he ride his skateboard
Answer:
2.5 miles per hour
Step-by-step explanation:
[tex]\frac{1}{4}\times \frac{5}{8}[/tex]
Step 1: Apply the fraction rule: [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]\frac{1}{4}\times \frac{5}{8}=\frac{1\times \:5}{4\times \:8}[/tex]
Step 2: Set up the fraction
[tex]\frac{5\times \:4}{8}[/tex]
Cancel the numbers: [tex]\frac{4}{8}=\frac{1}{2}[/tex][tex]=\frac{5}{2}[/tex]Convert to decimal[tex]\frac{5}{2} = 2.5[/tex]Therefore, Oscar's speed is 2.5 miles per hour.
A triangle has one angle that measures 19 degrees, one angle that measures 118 degrees, and one angle that measures 43 degrees.
What kind of triangle is it?
A. right triangle
B. obtuse triangle
C. acute triangle
D. equilateral triangle
Answer:
B. obtuse triangle
Step-by-step explanation:
Obtuse triangles are triangles with one obtuse angle and two acute angles. Define obtuse angles as angles over 90 degrees and acute angles as angles less than 90 degrees.
In this triangle:
118 degrees - obtuse angle
19 degrees - acute angle
43 degrees - acute angle
Thus, this triangle is an obtuse triangle.
please help thank you
Please help me! image is below
If PR is 4, WQ is 8, and QR is 5, SP = ___ units
Answer:
From the attached graphic, we can see:
(SP + PR) * PR = (WQ + QR) * QR
SP * PR + PR^2 = WQ * QR + QR^2
4 SP + 4*4 = 8 * 5 + 25
4 SP + 16 = 65
4 SP = 49
SP = 49 / 4
SP = 12.25
Step-by-step explanation:
h(x) = 12 - 5x
p(x) = 2x
Find (h+g)(x)
are you sure h + g?
there is no g in your question..there's h and p
Which wave has the least amount of energy
Answer:
3
Step-by-step explanation:
Wavelengths that are longer and more drawn out have a lower frequency, so number 3 has the least amount of energy.
I attached a spectrum that helps give a visual.
Hope this helps and made it a bit easier to understand.
A pool cover for a circular swimming pool has a diameter of 15 feet. Which value is closest to the area, in
square feet, of the pool cover?
Answer:
i suggestions you read the question carefully and solve the question and check your soulation
HELPPPP PLEASE !!!!!!!!!!!!!!
Answer:
113°
Step-by-step explanation:
triangles add up to 180°
180° - 34° - 33° = 113°
==============================================
Explanation:
For any triangle, the three interior angles must add to 180 degrees
34+33+x = 180
x+67 = 180
x = 180-67 ... subtract 67 from both sides
x = 113
This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).
What is the arc measure of \stackrel{\LARGE{\frown}}{AB}
AB
⌢
A, B, start superscript, \frown, end superscript on circle PPP in degrees?
^\circ
∘
degrees
Answer:
72 degrees
Step-by-step explanation:
Find the diagram attached. We are to find the length of the arc
Measure of arcABC = rtheta
16π = 10 theta
theta = 16*180/10
theta = 16 * 18
theta = 288degrees
central angle = 360 - 288 = arc AC
central angle = 72degrees
Hence the arc measure of AC is 72 degrees