Answers
Answer:
DF=22.57
DG=26
Step-by-step explanation:
sinF/DG=sinD/FG
sin75/DG=sin48/20
DG*sin48/sin48=20*sin75/sin48
DG=26
D^+F^+G=180(sum of int. angles of triangle)
G^=180-48-75
G^=57
sinG/DF=sinD/FG
sin57/DF=sin48/20
DF*sin48/sin48=20*sin57/sin48
DF=22.57
The value of DF and DG is 22.57 units and 25.9956 units respectively.
Given to us,
∠D = 48°,
∠F = 75°,
FG = 20,
According to sine rule, in a triangle the length of a side of the triangle and the angle opposite to it is always in ratio. therefore,
[tex]\dfrac{A}{sin\alpha}= \dfrac{B}{sin \beta}= \dfrac{C}{sin\gamma}[/tex]
So,
[tex]\dfrac{DF}{sin (G)}= \dfrac{FG}{sin (D)}= \dfrac{GD}{sin(F)}[/tex],
For ∠G,
∠D + ∠F + ∠G = 180°,
48° + 75° + ∠G = 180°,
∠G = 180° - ( 48° +75°),
∠G = 57°,
Now using the sine rule,
[tex]\dfrac{DF}{sin (G)}= \dfrac{FG}{sin (D)}= \dfrac{DG}{sin(F)}\\\\\\\dfrac{DF}{sin (57)}= \dfrac{20}{sin (48)}= \dfrac{DG}{sin(75)}\\\\\\\dfrac{DF}{sin (57)}= \dfrac{20}{sin (48)}\\\\DF = 22.57\ units\\\\\\ \dfrac{20}{sin (48)}= \dfrac{DG}{sin(75)}\\\\DG = 25.9956\ units[/tex]
Hence, the value of DF and DG is 22.57 units and 25.9956 units respectively.
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Related Questions
x + y = -3
y= 2
Solve
Answers
Answer:
x=-5
Step-by-step explanation:
x+2=-3
x+2-2=-3-2
x=-5
im in algebra two so you can trust my answer. happy holidays and stay safe!
x+y=-3
x+2=-3
x+2+-2=-3+-2 (add -2 to both sides)
Answer:
x=-5
if i have 10% off the regular price of 3.30 what is the slae price
Answers
Answer:
0.33
Step-by-step explanation:
Consider the system of inequalities.
3x + 2y < 8
-5x - 9y > -2
Select all ordered pairs that are solutions to the system of inequalities.
(-10, -3)
a)
b)
(-1, 5)
(0, 0)
d)
(1, -1)
Answers
Answer:
b)
The point is (-1,5) and (0,0) also satisfies the given inequalities
The solution of the given inequalities
(x, y) = (4 , -2 )
Step-by-step explanation:
Step(i):-
Given system of equations are
3x + 2y < 8
-5x - 9y > -2
The solution of the given equations are
3x + 2y = 8 multiply '5'
-5x - 9y = -2 multiply '3'
15 x + 10 y = 40 ...(i)
-15x - 27 y = -6.....(ii)
Adding (i) and (ii) , we get
- 17 y = 34
y = -2
Substitute y = -2 in equation 3x + 2y =8
3x - 4 =8
3x = 12
x =4
The solution of the given system of inequalities
(x, y) = (4 , -2 )
Step(ii):-
3x + 2y < 8
-5x - 9y > -2
The point is (-1,5)
-3 + 10 < 8
7 < 8
5 - 45 > -2
-40 > -2
The point (0,0) also satisfies the given inequalities
Final answer :-
The point is (-1,5) and (0,0) also satisfies the given inequalities
PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
Answer:
D. 6 cm
Step-by-step explanation:
since the scale factor from KLMNP to QRSTU is 2/3, just multiply LM by 2/3
therefore, your answer is 6 cm
hope this helps!!
At his most recent medical checkup, a boy was 36 inches tall. Currently, he is 25% taller. How tall is the boy now?
Answers
36+9 = 45 inches
Hope this helps
PLEASE ANSWER!!!!!!!!!!! SIMPLE MATH PROBLEM PLEASE
Answers
Answer:
False
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 3x - 3
y = -4x + 4
Step 2: Solve for x
Substitution
Substitute in y: 3x - 3 = -4x + 4Isolate x terms: 7x - 3 = 4Isolate x term: 7x = 7Isolate x: x = 1Here we see that our x-value would equal 1.
∴ (-3, 0) is NOT a solution to the systems.
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −5
0 −1
1 3
g(x)
g(x) = 4x + 3
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer.
Answers
Answer:
Part A: Both functions' slopes increase at intervals of four in a positive manner, so they will rise to the right.
Part B: g(x) has a greater y intercept as it is y=3 and f(x) is y=-1
Step-by-step explanation:
need help with number 6
Answers
Answer:
(3)
Step-by-step explanation:
the sum of n and 5 is (n + 5), then multiply by 3 gives
3(n + 5)
The result is at least 17 which means it must be greater than or equal to 17
3(n + 5) ≥ 17
what is the answer to the question?
Answers
Answer:
What is the sum of the exterior angles in a regular 15-gon?
The sum of the exterior angles in any convex polygon, including a regular 15-gon, is 360∘.
Step-by-step explanation:
thank me later
mark me as brainliest please
Answer:
5 exterior angles.
Step-by-step explanation: since they all have to add to 360 you can divide 360/5 = 72. You can also check by adding one interior angle plus 72 and checking if you get 180.
1. You have $758.12 in your bank account. Free money!
2. You get a job at the CDC on post doing child care. You make $13.20 per hour, and each
week you work for 24.5 hours. How much money do you earn per week?
Answers
Answer:
You will earn $323.4 per week
Step-by-step explanation:
We are given:
Cost per hour = $13.20
Number of hours you work each week = 24.5 hours
We need to find how much money do you earn per week.
Amount of money you earned per week = Cost per hour * Number of hours worked
Amount of money you earned per week = 13.20 * 24.5
Amount of money you earned per week = 323.4
So, you will earn $323.4 per week
In ΔVWX, v = 64 cm, w = 18 cm and x=63 cm. Find the measure of ∠W to the nearest degree.
Answers
Answer:
∠W = 16.3°
Step-by-step explanation:
In ΔVWX, v = 64 cm, w = 18 cm and x=63 cm. Find the measure of ∠W to the nearest degree.
From that above question, we are given 3 sides and we are to find the angle of one of the sides.
We solve using Cosine rule.
∠W = arc cos (v² + x²﹣w²/2vx)
∠W = arc cos (64² + 63² - 18² /2 × 64 × 63)
∠W = arc cos (0.9599454365)
∠W = 16.27137°
∠W = 16.3°
Answer:
The answer is 16
Step-by-step explanation:
Kendall bought a coat that was on sale for 20% off its original price. She paid $76.32 for the coat, whichincluded a 6% sales tax on the price of the coat
Answers
Answer:
I am guessing that the answer is $69.99 because well I did the math
Heart, 5 stars and Brainliest Is correct!
What is most likely to happen during deposition?
A)Formation of cracks in rocks
B)Moving of small rocks and sediment
C) Settling of rock pieces in new locations
D) Dissolving of rocks by chemicals in water
Answers
Answer:
B)Moving of small rocks and sediment
Step-by-step explanation:
I am doing FLVS and i got this right! <3
What is the probability of getting exactly 2 heads when flipping three fair coins?
Answers
Answer:
t0he answer to this question is 1/4
Step-by-step explanation:
Jada traveled 135 miles in 3 hours. Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed. A) How far did Jada travel in 1 hour?
Answers
Given:
Jada traveled 135 miles in 3 hours.
Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed.
To find:
How far did Jada travel in 1 hour?
Solution:
We have,
Distance traveled by Jada in 3 hours = 135 miles
Then,
Distance traveled by Jada in 1 hour = [tex]\dfrac{135}{3}[/tex] miles
= 45 miles
Therefore, Jada travel 45 miles in 1 hour.
Write -2/9 as a decimal.
Answers
It’s that, but idk if there is another way to make is simplified
what is the answer
Answers
Answer:
A
Step-by-step explanation:
Miguel and Beth like to play video games together. Miguel has m video games, and Beth has b video games. Miguel has
4 more video games than Beth, and together they have a total of 24 video games. Which system of equations can be
used to find how many video games belong to each friend?
Answers
Answer:
Miguel has video games = 14
Beth has video games = 10
Step-by-step explanation:
Miguel has video games = m
Beth has video games = b
We make the equations:
m=b+4 (Miguel has 4 more video games than Beth)
m+b=24 (together they have a total of 24 video games)
So, the system of equations is:
[tex]m=b+4\\m+b=24[/tex]
Now, solving these system of equations to find values of m and b
Let:
[tex]m=b+4--eq(1)\\m+b=24--eq(2)[/tex]
Put value of m from equation 1 into equation 2
[tex]m+b=24\\b+4+b=24\\2b=24-4\\2b=20\\b=\frac{20}{2}\\b=10[/tex]
We get value of b: b=10
Now, finding value of m by putting value of b in equation 1
[tex]m=b+4\\m=10+4\\m=14[/tex]
So, We get value of m: m= 14
Therefore:
Miguel has video games = m = 14
Beth has video games = b = 10
Answer:
m+b=24
m=b+4
Step-by-step explanation:
on edg
Pls help will give brainilist
Answers
PLEASE HELP IN THE ATTACHED IMAGE
Answers
Answer:
864x^2 + 102x + 24559
Step-by-step explanation:
Add the correct terms that correspond to the placement.
9. APQR = MNR. Find x.
35
10
R
M
P.
350
N
Answers
Answer:
Sorry but i don't understand the question :(
can someone pls help with this asap
Answers
Answer:
The answer is C
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
both pair of opposite sides are parallelogram, which is the definition of a parallelogram
Jimmy took out a loan for $5,600 to pay for a home repair the bank offered an interest rate of 4.75 % how much interest would she pay after three years???
Answers
Answer:
$698
Step-by-step explanation:
Given that :
Principal = $5600
Rate = 4.75%
Time = 3 years
Simple interest = principal * rate * time
Simple interest = $5600 * 0.0475 * 3
simple interest = $798
Can you please help me
Answers
Answer:
Fourth choice, 19/30
Step-by-step explanation:
Add 38 and 22 together, it's 60
Out of 60 times, he flipped heads 38 times, so it's 38/60
Simplify 38/60 with 2, 19/30
please help me I will fail if not answere
Answers
Answer: B. 24 ft
Step by step explanation: I know that the cabbage's percent is 15%, so then you have to take 15% of 160 and that is 24 :D
Hope this helps!
Which point below is a solution to the equation y = 2x + 3
Answers
Answer:
The x-intercept it (-1.5, 0) and the y-intercept is (0, 3). The slope is 2.
Step-by-step explanation:
Factor 10x2
+ 11x + 3
Answers
Answer:
e
Step-by-step explanation:
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Determine the intercepts of the line.
y = 4x + 7
X-intercept:
y-intercept:
Answers
Answer:
Y intercept: (0,7)
X intercept: (-7/4, 0)
Step-by-step explanation:
Step-by-step explanation:
finding y intercept:(x=0)
y=4x +7
=4(0)+7
y=7
finding x intercept:(y=0)
y=4x+7
0=4x+7
-7=4x
x=-7÷4
The cost of 3 scarves is 77.25. What is the unit price.
Answers
Answer: $25.75
Step-by-step explanation:
U will have to divide 77.25/3 to find your answer per scarf and it will give you $25.75
3x-y=7 in slope intercept form
Answers
Answer:
y = 3x - 7
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: 3x - y = 7
Step 2: Rewrite
Find slope-intercept form
Subtract 3x on both sides: -y = 7 - 3xDivide -1 on both sides: y = 3x - 7Answer:
y = 3x + 7
Step-by-step explanation:
subtract 3x from both sides
multiply both sides by (-1) to get positive numbers