Answers
=========================================================
Explanation:
We can apply the remote interior angle theorem.
The exterior angle DFG is far away from the remote interior angles FGH and GHF. In other words, the exterior angle is not adjacent to these remote interior angles.
The remote interior angles add to this exterior angle.
(angle FGH) + (angle GHF) = angle DFG
(89) + (5x-7) = 14x+1
5x + 82 = 14x + 1
82-1 = 14x-5x
81 = 9x
9x = 81
x = 81/9
x = 9
If this is the case, then,
angle DFG = 14*x+1 = 14*9+1 = 127
Related Questions
Hiiioo Can someone please help me
Question: ABCD is a rhombus. It has vertices located at A(10,6), B(7,2) and C(7,7). What are the coordinates of vertex D?
A. (10,3)
B. (10,11)
C.(10,7)
D. (10,-1)
Answers
Please help.
Is algebra.
Answers
Answer:
4/3x
Step-by-step explanation:
Solve the following equation for x. Express your answer in the simplest form.
Answers
Hope this helps you
Evaluate
(-8) 2
31
Write your answer as a fraction in simplest form.
Answers
Answer:
in simplest form=81/64
decimal=1.265625
help please i don’t understand
Answers
Step-by-step explanation:
perimeter = sum of all sides of figure
perimeter = 18cm + 18cm + 8cm + 18cm + 30cm + 18cm + 18cm + 4cm
perimeter = 132cm
plz follow me
Lincoln has dimes and y quarters. He has no more than 24 coins worth at least $3.50 combined. Solve this system of inequalities graphically and determine one possible solution
Answers
Answer:
let's define:
x = number of dimes
y = number of quarters.
Then the total amount of money that he has is:
x*$0.10 + y*$0.25
Now we know that:
"He has no more than 24 coins"
Then:
x + y ≤ 24
"...worth at least $3.50 combined"
x*$0.10 + y*$0.25 ≥ $3.50
Then we have two inequalities:
x + y ≤ 24
x*$0.10 + y*$0.25 ≥ $3.50
To graph these, it is easier to write them as linear equations in the slope-intercept form.
Then we need to isolate the y-variable in both equations.
we will get:
y ≤ 24 - x
y ≥ $3.50/$0.25 - x*$0.10/$0.25
In the first equation we have:
"y is smaller or equal than the line"
Then this is graphed with a solid line, and we shade all the region below the line
For the second equation, we have the inverse case, then it will be graphed with a solid line and we need to shade all the region above the line.
The solutions for the system will be all these values that are in both shaded regions.
The graph can be seen below.
In the graph, we can see that one acceptable solution can be:
x = 5
y = 15
or
x = 6
y = 16
The only other restriction we should add is:
x ≥ 0
y ≥ 0
Because Lincoln can not have a negative number of coins, so we can only find solutions in the first quadrant.
HELP WILL MARK BRAINLIEST!!!
Answers
Answer:
82,300
Step-by-step explanation:
last numbers is 345
so if 350 it would go to 400
but it is under so it goes to 300.
Answer:
1. Hundred is 82,300
2. Hundreths is 82,345.57
3. Tens is 82,350
4. Tenths is 82,345.6
Step-by-step explanation:
Hope this helps you!!
What is the student's error?
Answers
Answer:
Two x's can have the same y, but an x cannot have different y's. For example, [(2,3)(-2,4)(3,3)(5,18)] is a function because all of the x's have a specific y, and there is not more than one y to an x. However, [(2,3)(-3,7)(2,-4)] is not a function because one of the x's has more than one y.
Step-by-step explanation:
(hope this helps-you can just put the first sentence...the rest is kinda wordy :P)
y=5x-7
-3x-2y=-12
Find x
Answers
Answer:
11/6=x
Step-by-step explanation:
System of Linear Equations entered :
[1] y=5x-7
[2] -3x-3y=-12
Equations Simplified or Rearranged :
[1] y - 5x = -7
[2] -3y - 3x = -12
Graphic Representation of the Equations :
-5x + y = -7 -3x - 3y = -12
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 5x - 7
// Plug this in for variable y in equation [2]
[2] -3•(5x-7) - 3x = -12
[2] - 18x = -33
// Solve equation [2] for the variable x
[2] 18x = 33
[2] x = 11/6
// By now we know this much :
y = 5x-7
x = 11/6
// Use the x value to solve for y
y = 5(11/6)-7 = 13/6
Solution :
{y,x} = {13/6,11/6}
You are dealt one card from a 52-card deck. Find the probability that you are dealt a King or a spade.
Answers
Answer:
to get a king you have a 4 out 52 chance
and to get a spade you have a 13 out of 52
Step-by-step explanation:
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answers
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
Please help me I just want to know what is wrong with that. PLEASE
Answers
Answer:
---> --->
WS DS
Step-by-step explanation:
What does A represent in "BA+AB+AB+CAA"
Answers
Answer:
that looks hard sorry i cant help you good luk .
Gavyn drives at a speed of 50 miles per hour how long will it take to drive 225 miles
Answers
Answer:
:4.5 hoursStep-by-step explanation:225 divided by 50 = 4.5
Answer:
its 4 hours and 30 minutes
Step-by-step explanation:
if 50 is equvalemt to 1 hour then 225 divide by 50 then the answer was 4.5 and the 4.5 is equal to 4 hours and 30 minutes
mark me
please help due today
Answers
Answer:
No they don't (unless I messed up)
Step-by-step explanation:
([{3x=9} 2]=81) - ([{x=3}+1]=4) =77
([{2x=10} 2]=100) + {[(2x=25)-4]=21} = 79
There are 9 apples and 24 plums in a fruit bowl. What is the ratio of plums to apples?
Answers
Answer:
24:9 or 24 to 9 or [tex]\frac{24}{9}[/tex]
Step-by-step explanation:
The amount of plums is 24. The amount of apples is 9. So to write the ratio of plums (24) to apples (9), you write 24 to 9. You can either write a colon - 24:9 - a to - 24 to 9 - or as a fraction - [tex]\frac{24}{9}[/tex]. But, you have to write it with plums first.
Hope it helps!
1. Mrs. Gonzalez signed up to bring two dozen cupcakes for the school bake sale. She made one dozen, but her children ate three of the cupcakes. What expression used to determine, .c the number of cupcakes Mrs. Gonzalez needs to bake?
Answers
Answer:
4
Step-by-step explanation:
It is half of 8
A dozen is 12 if there's 2 that's 24 cakes
If they ate 3 now it's 21
Decide that by 3 now it is 8
A bowling alley charge $6 for shoe rental and $2 for each game. Write an equation that represents this situation.
Answers
Answer:
6+2x
Step-by-step explanation:
6 for the shoes
2 for a game
x for however many games are played
Find the value of
p (2) - P(-1) in p (X) = x^2- 4x + 3
Answers
Answer:
The answer is - 9
Step-by-step explanation:
[tex]( {2}^{2} - 4 \times 2 + 3) - ( { - 1}^{2} - 4 \times - 1 + 3 \\ = - 9[/tex]
5. How many solution/s do linear inequality in two variable have?
A.O
B. 1
C. 2
D. Infinite
6. Which of the following in NOT a solution of the inequality x + y 2 5,?
A. (4, 5)
B. (3, 2)
C. (1,3)
D. (5,0)
7. An inequality using a > or s has a
A.horizontal
B.broken
line.
C. solid
D. vertical
8. If y > 5 + x, where can we find the solution set?
A.above the line
C. in the line
B.below the line
D. no solution set
9. Which of the following inequalities is represented by the given
graph?
A. 2x + y > 4
C. 2x + y 4
B. 2x + y < 4
D. 2x + y 24
10. Given the graph of y = 2x - 5 below, which of the following
ordered pair is NOT part of the solution set ?
A. (2, 5)
C. (2,-7)
B. (3,1)
D. (-2,-3)
Answers
Answer:
5
C. 2
6.
A. (4, 5)
7.B.broken
line.
8.A.above the line
9.. 2x + y < 4
10.D. (-2,-3)
Answer:
5
C. 2
6.
A. (4, 5)
7.B.broken
line.
8.A.above the line
9.. 2x + y < 4
10.D. (-2,-3)
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
the question is in the photo
Answers
Answer:
d is vertical so its 70 b c and a combined is also vertical to e so we have 110
Step-by-step explanation:
im going down to S o U t H p A r K
Answers
Answer:
ok have a nice time
Step-by-step explanation:
Answer:
I totally agree *brainly don't take down my answer pls*
Step-by-step explanation:
Ana ran 12.5 miles on week one of her training. On week two she ran 5 6/8 miles. How many more miles did she run on week 1 than week 2?
A. 7 5/6
B. 7 1/4
C. 17 7/10
D. 17 6/16
Answers
Answer: C
Step-by-step explanation: My first time sorry if I am wrong
will give 100 points
Answers
Answer:
The answer is <ACD = 68°
Step-by-step explanation:
Using the property that the sum of interior angles in a triangle is equal 180°,we have:
<DAC + <ACD + <ADC = 180°
[tex]2x + (180 - 4x) + 56 = 180 \\ - 2x + 56 = 0 \\ 2x = 56 \\ x = \frac{56}{2 } \\ x = 28[/tex]
Finally, calculating the angle <ACD, we have:
<ACD = 180 - 4x
<ACD = 180 - 4 . 28
<ACD = 180 - 112
ACD = 68°
Answer:
x = 28°
m∠ACD = 68°
Step-by-step explanation:
From inspection of the given diagram:
m∠FDC = 124°m∠EAB = 2xm∠ACG = 4xVertical Angle Theorem
When two straight lines intersect, the vertical angles are congruent.
⇒ m∠DAC = m∠EAB = 2x
Angles on a straight line sum to 180°:
⇒ m∠ACD + 4x = 180°
⇒ m∠ACD + 4x - 4x = 180° - 4x
⇒ m∠ACD = 180° - 4x
Exterior Angle Theorem
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.
⇒ m∠DAC + m∠ACD = m∠FDC
⇒ 2x + (180° - 4x) = 124°
⇒ -2x + 180° = 124°
⇒ -2x + 180° - 180° = 124° - 180°
⇒ -2x = -56°
⇒ -2x ÷ -2 = -56° ÷ -2
⇒ x = 28°
To find m∠ACD, substitute the found value of x into the expression for the angle:
⇒ m∠ACD = 180° - 4x
⇒ m∠ACD = 180° - 4(28°)
⇒ m∠ACD = 180° - 112°
⇒ m∠ACD = 68°
additive inverse of 3x - 6.
Answers
Answer:-3
Step-by-step explanation:
When Kenji drove to work, the temperature in town
was 40°F. When he came home, the temperature was
58°F. Which equation can be used to find t, the change
in temperature?
Answers
Answer: 40 + t =58
I just did the problem and the other ones don’t make sense
Please help... answer a b c and d
Answers
b: it means each person costs 3.90
c and d i don’t understand what they’re trying to get to i’m sorry
plz help fast will mark brainliest!!!!
Answers
Answer:
the term is minus 1/4 so it would be 3, 2 3/4, 2 2/4.
A jacket with an original price of $40.50 discounted by 10%. What is the sale price?
Answers
Answer:
36.45
Step-by-step explanation:
40.50* 0.10 =4.05
40.5-4.05=36.45
A circle is drawn inside a square so its circumference touches each of the four sides of the
square. If the area of the circle is 125.8cm2 calculate the length of the sides of the square.
Answers
Answer:
12.66 cm
Step-by-step explanation:
Area of the circle = 125.8 Sq cm
[tex] \therefore \: \pi {r}^{2} = 125.8 \\ \\ \therefore \: 3.14 \times {r}^{2} = 125.8 \\ \\ {r}^{2} = \frac{125.8}{3.14} \\ \\ {r}^{2} = 40.0636943 \\ \\ {r} = \sqrt{40.0636943} \\ \\ r = 6.32958879 \\ \\ r \approx \: 6.33 \: cm \\ \\ d \: = 2r \\ \\ d = 2 \times 6.33 \\ \\ d = 12.66 \: cm \\ [/tex]
Diameter of the circle = 12.66 cm
Since, circumference of the circle touches each of the four sides of the square.
So, length of the sides of the square
= diameter of the circle.
= 12.66 cm