ABCD is a square. DEF is an equilateral triangle. Work out the size of the angle labelled d°.
Answers
Answer:
95
Step-by-step explanation:
Hope this helps :)
Merry Christmas. Have fun.
The size of ∠CDE labelled d° = 95° Given,
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given,
In triangle DAF
∠DAF = 25°
∠DFA = 40°
Sum of all interior angles is 180°
∠DAF + ∠DFA + ∠ADF = 180°
25° + 40° + ∠ADF = 180°
65° + ∠ADF = 180°
∠ADF = 180° - 65°
∠ADF = 115°
Triangle DFE is equilateral
∠FDE = 60°
ABCD is an square
∠CDA = 90°
Now,
∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°
90° + 115° + 60° + d° = 360°
d° = 360° - 265°
d° = 95°
Hence, 95° is the size of ∠CDE labelled d°.
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Related Questions
If 3 is added to three quarter of a certain number, the result is 30.find the original number.
Answers
Answer:
Original number is 36
Step-by-step explanation:
Let,
Number be x
3x/4 + 3 = 30
3x + 12/4 = 30
3x + 12 = 30 × 4
3x + 12 = 120
3x = 120 - 12
3x = 108
x = 108/3
x = 36
Triangles â–łABC and â–łDFG are similar. The lengths of the two corresponding sides are 1. 4m , and 56 cm. What is the ratio of the perimeters of these triangles ?.
Answers
Answer:
5 : 2
Step-by-step explanation:
The ratio of perimeters of similar triangles is the same as the ratio of any pair of corresponding sides. That ratio is given as ...
1.4 m : 56 cm = 140 cm : 56 cm = 5 : 2
The ratio of the perimeters of the triangles is 5 : 2.
_____
As a unit ratio, it is 2.5 : 1, or 2.5.
What is the value of 24 + 32 - 52
Answers
Alright I need help.. I will mark brainliest .
;-;
Answers
Answer:
x - y = 9
Step-by-step explanation:
When x goes up by 1, y goes up by 1. That means there is a constant difference between the values. That difference is x1 -y1 = 1 -(-8) = 9.
An equation relating the values is ...
x - y = 9
_____
Some folks like to see the relation in "y =" form. You can add y-9 to both sides to get that form:
y = x -9
What are the other steps?
Answers
Answer:
63 degrees
Step-by-step explanation:
Angle IGH is 40 degrees because it is vertical to angle BGD.
Angle HIG is 77 degrees because it is a linear pair with CIH.
Since 2 of the angles of triangle GHI are 40 and 77 degrees, and the 3 angles add to 180, angle IHG must be 63 degrees
Graph: y =
|x – 4| + 2
Answers
This is a photo of answer
Answer:
see attached
Step-by-step explanation:
The constants in the function shift the absolute value graph right 4 units and up 2 units. The attachment shows the translated function.
16. The perimeter of a rectangular garden is 90 feet. The gardens lengin s5 feci less than 4 messen What are the length and width of the garden?
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ITS DUE TMRW!! PLS HELP
What is the value of x in the solution to this system of equations?
5x − 5y = 120
y= −7x + 8
Enter your answer in the box.
Answers
Answer:
x = 24 + y
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Answer:
Step-by-step explanation:
5x − 5y = 120
y= −7x + 8
Use the second equation in the first (eliminates y)
5x − 5(−7x + 8) = 120
5x (+35x -40) = 120
40x -40 = 120
40x = 160
x = 4
----
If x = 4:
y= −7x + 8
y= −7*(4) + 8
y= -28 + 8
y = -20
====
The solution is (4,-20)
504300 in standard form
Answers
explanation:
Question 1
Without solving, what can you tell about the solution to
this equation?
b + 14
(b + 14)
2
1 / 116
There is no solution.
There are infinitely
many solutions.
b is equal to 1 only.
b is equal to 0 only.
Answers
Answer:
there are infinitely many solutions
Step-by-step explanation:
1/2(b+14) is the same as (b+14)/2, so no matter what number you plug in for b, both sides will always be equal. thus, there is infinitely many solutions.
hope this helps <3
Answer: there is no solution.
Step-by-step explanation:
We can see mentally that when we multiply both sides by 2, we will be left with b+14 on both sides which will cancel out ( “b” will cancel out) so there is no solution.
Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l contains point S. The length of segment R S is 2 x + 8. The length of segment S Q is 8 x minus 4.
What is the length of segment SR?
Answers
Answer:
12
Step-by-step explanation:
Since RS = QS, we know 2x + 8 = 8x - 4
Subtract 2x from each side
8 = 6x - 4
Add 4 to each side
12 = 6x
Divide each side by 6
2 = x
SR is 2x + 8, so it is 2(2) + 8, so RS = 12
The length of the segment SR is 12.
What is a triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
Since RS = QS, we know 2x + 8 = 8x - 4
Subtract 2x from each side
8 = 6x - 4
Add 4 to each side
12 = 6x
Divide each side by 6
2 = x
SR is 2x + 8, so it is 2(2) + 8, SR = 12
Hence, the segment SR is 12.
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what is the value of k makes the equation trur
Answers
Answer:
where is the equation??
pls attach that
If y is directly proportional to x and y is 12 when x = 10, what is y when x is 25?
Y = 25
Y = 30
Y = 20 5/6
Y = 26 1/5
None of the above
Answers
Answer:
Y= 30
Step-by-step explanation:
y=kx
when y=12, x=10
12=10k
k= 12/10
k = 6/5
when x= 25
y= 6/5 × 25
y= 30
how to see if matrix is one to one calculator
Answers
Answer:
look at the pivots (the leading 1's of the rows)
Step-by-step explanation:
Then, look at the pivots (the leading 1's of the rows). If we have a pivot in every column, then the nullspace of the matrix (and hence the kernel of T) is zero-dimensional. So, T is one-to-one if and only if the REF has pivot in every column.
base five to decimal base
Answers
Answer:
Below.
Step-by-step explanation:
Here's an example.
What is 123 in base 5 converted to decimal.
123 base 5 = 3 * 5^0 + 2*5^1 + 1 * 5^2
= 3 + 10 + 25
= 38 in decimal.
Im just straight up confused. And dont leave a link
Answers
Answer:
The bottom left graph is a function
Step-by-step explanation:
I was pretty confused at first with this, too. To find if a graph is a function, however, just preform the vertical line test! Basically, draw a vertical line on each graph. At any point does it go through two or more points? Well, its not a function. We can see a vertical line would completly overlap the first graph, it would go through the half circle graph twice, and the circle? Well, that ones rather obvious...
With this test, we can see the only graph that passes the vertical line test is the bottom left graph (or the weird squiggly one)!
Hope this helps for future function solving!
simplify this equation
Answers
Answer: 3x/(x-3)(x+1)
when the angle of elevation of the sun is 78 degrees, an Statue casts a shadow that is 6m long. How far is the top of the statue to the end of it's shadow?
Answers
Answer:
28.9 m
Step-by-step explanation:
First, we can draw a picture. The statue is on the right, with the top of the statue representing the top right corner of the triangle. The angle of elevation to the sun is 78 degrees, so the angle between the shadow and the top of the statue must be 78 degrees as well. Assuming there is no angle of elevation between the shadow and the statue, we can say that the shadow and statue form a 90 degree angle because the shadow is perfectly horizontal and the statue is perfectly vertical.
We are trying to find the hypotenuse of the triangle, or the length from the top of the statue to the end of the shadow. To do this, we can utilize the fact that
cos(x) = adjacent / hypotenuse
cos(78°) = 6 / hypotenuse
divide both sides by cos(78°) and multiply both sides by hypotenuse to solve for the hypotenuse
hypotenuse = 6/cos(78°) ≈ 28.9 m
Gerry purchases 12 hamburgers at a fast food restaurant for $2.25 each. For half the amount of money, he could purchase 5 buffalo chicken sandwiches. How much does 12 burgers cost?
Answers
Can i get some help :
Answers
Answer:
is not equal to sign is used
i will make you brainliest
Answers
Answer:
Answers given in the photo
What is x? Show your work.
Answers
Answer: x=2
Step-by-step explanation: 28/4-5= 2
write y+9=-3x-9 in slope intercept form
Answers
Answer:
y = -3x - 18
Step-by-step explanation:
Subtract 9 from each side
There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many students did their homework?
Answers
please help me with this
Answers
Answer:
-9
Step-by-step explanation:
a(2) = a(1)+4 = -13+4 = -9
What is the multiplicative rate of change of the
exponential function shown on the graph?
20
2,
81
4
16
0 1
12
4
9
8
9
1.
NI
(-2
. 81)-1,3
X
(0, 1)
1
2
Intro
Done
Answers
Answer:
(d) 9/2
Step-by-step explanation:
The growth factor (multiplicative rate of change) can be found as the ratio of y-values for x-values that differ by 1.
Here, we have ...
x = 0, y = 1
x = 1, y = 9/2
These x-values differ by 1. The growth factor is (9/2)/1 = 9/2.
what is the answer
simplify 2(5x+3)-2(2x-3)
Answers
Answer:Use this PEMDAS to solve
Step-by-step explanation:
Parethiesis,Exponent,Multiplication,Division,Addition,and Subtraction.
ALWAYS DO P FIRST!!!!
Answer:
x+2
Step-by-step explanation
2 x 5x =10x 2 x 3=6 -2 x 2x = -4x -2 x -3=6
10x-4x + 6+6
6x+12
simplified: x +2
I really really really need help with this
Answers
Answer:
404Step-by-step explanation:
PEMDAS48 ÷ 6 + (5×6) × 13 + 6 = → Parenthesis48 ÷ 6 + 30 × 13 + 6 = → Multiplication, division8 + 390 + 6 = → Addition404[tex]\huge \bf༆ Answer ༄[/tex]
Use PEDMAS/BODMAS rule for simplification !
Let's solve ~
[tex] \sf{48} \div 6 + (5 \times 6) \times 13 + 6[/tex][tex] \sf48 \div 6 + 30 \times 13 + 6[/tex][tex] \sf8 + 30 \times 13 + 6[/tex][tex] \sf8 + 390 + 6[/tex][tex] \sf404[/tex]Which of the following values could represent the probabilities of complementary events? StartFraction 1 over 7 EndFraction and StartFraction 2 over 7 EndFraction 28% and 82% Two-fifths and Three-fifths 10% and 80%
Answers
Answer:
a
Step-by-step explanation:
Answer:
2/5 and 3/5
Step-by-step explanation:
If Kenny attempted 36 serves yesterday, how many serves did he make over the net?