Answers
[tex]\huge\bold{Given :}[/tex]
Angle AOD = [tex]x[/tex] - 10°
Angle DOC = 3[tex]x[/tex] + 25°
Angle BOC = [tex]x[/tex] + 5°
[tex]\huge\bold{To\:find :}[/tex]
The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:value\:of\:x\:is\:32°}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
➪ ∠ AOD + ∠ DOC + ∠ BOC = 180°
➪ [tex]x[/tex] - 10° + 3[tex]x[/tex] + 25° + [tex]x[/tex] + 5° = 180°
Combining like terms, we have
➪ 5[tex]x[/tex] + 20° = 180°
➪ 5[tex]x[/tex] = 180° - 20°
➪ 5[tex]x[/tex] = 160°
➪ [tex]x[/tex] = [tex]\frac{160}{5}[/tex]
➪ [tex]x[/tex] = 32°
Therefore, the value of [tex]x[/tex] is 32°.
Now,
I) ∠ AOD = [tex]x[/tex] - 10° = 32° - 10° = 22°
2) ∠ DOC = 3[tex]x[/tex] + 25° = 3 x 32° +25° = 96° + 25° = 121°
3) ∠ BOC = [tex]x[/tex] + 5° = 32° + 5° = 37°
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ AOD + ∠ DOC + ∠ BOC = 180°
✒ 22° + 121° + 37° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Related Questions
The value of ( - 2 / 3 ) will be ……
a) Will be negative but more than -1
b) Will be greater than 0
c) Will be a positive but less than 1
d) Will be positive but between 0.5 and 1
Answers
Answer:
will be -0.667 so the answer will be greater than 0
may I have help?! Thanks
Answers
Answer:
Hello! answer: A
Step-by-step explanation:
9 × 3 × 12 = 324 cm3
Answer:
324 cm cubed
Step-by-step explanation:
length×width×height. hope this helps!
the numerator of a fraction is 2 less than the denominator . If one is added to its denominator ,it becomes 1/2 ,find the fraction.
tell me with full explanation
Answers
Answer:
numerator = 2 and denominator is 4
Step-by-step explanation:
let the denominator be x
numerator = x-2
according to the question
[tex]\frac{x-2}{x} = \frac{1}{2}[/tex]
do cross multiplication
x*1 = 2(x-2)
x = 2x -4
4 = 2x - x
4 = x
therefore denominator is 4
numerator = x-2
=4-2
=2
Which line is the correct graph for y = -3/4x
A/ blue line
B/ purple line
C/ green line
D/ red line
Answers
Answer:D
Step-by-step explanation:
2. What are the first two
common multiples of 2 and 3*
O 12 and 18
O 18 and 16
O 6 and 12
O 12 and 16
Answers
Answer:
6 and 12 is the answers
Step-by-step explanation:
hope this help enjoy your day:)
Answer:
Third option
Step-by-step explanation:
2-4 6 8 10 12
3- 6 9 12
common multiples 6&12
can someone please help me with this?? please please please help me
Answers
Step-by-step explanation:
base is 12, hypotenuse is 20
so X² is h²-b²
so X=16
Donna wants to wrap a shipping box shaped like a rectangular prism. The box is 23 inches tall and has a square base with sides that each measure 4 inches. How much paper will she use?
Answers
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
The equation SA = 6s can be used to calculate the surface area, SA, of a cube with side length S. What is the
surface area, in square meters, of a cube with a side length of 0.5 meter?
Answers
=6 • 6 = 36
36 sq ft.
Please help, will give BRAINLIEST
Answers
Please help I’m desperate LOOK AT MY NAME :(
Answers
Answer:
3 is the line of symmetry, its the same on both sides
Step-by-step explanation:
Hope this helps and sorry you have to do I-ready it stinks
The answer for that would be three
Help me please it’s urgent
Answers
Answer:
(y-7) = 2(x-1)
Step-by-step explanation:
The point slope form of a line with slope m passing through (a,b) is
(y-b) = m(x-a)
here slope m = (7-3)/(1- -1) = 4/2 = 2
The point used was (1,7)
So the equation is
(y-7) = 2(x-1)
Note:
#11 is correct
Brainliest goes to whoever answers correctly
Answers
Answer:
The answer is C.
Find the value of x.
Answers
Answer:
Step-by-step explanation:
The equation for this is
12(x + 1) = 10(10 - x) and
12x + 12 = 100 - 10x and
22x = 88 so
x = 44
If f(x) = x2 – 3, then f(-1) is equivalent
to
Answers
Answer:
negative 5. or -5
Step-by-step explanation:
f(-1)= (-1)2-3
2 times -1= -2
-2-3= -5
f= -5
this question is -5
Help please will give brainliest
Answers
Answer:
Maybe 1 out the 10 possibilities
Step-by-step explanation:
I remember learning this a few years back but I'm not 100% sure.
Find the lateral area of a cone with a diameter of 10 centimeters and a slant height of 9 centimeters round to the nearest tenth
Answers
Answer:
The lateral area of a cone is 141.4 square centimeters
Step-by-step explanation:
Mathematically, we have the formula for the lateral area of a cone as;
A = pi * r * l
where r is the radius of the cone and l
is the slant height of the cone
Mathematically, the radius is simply half the measure of the diameter
we have that as 10/2 = 5 cm
So substituting these values;
A = 22/7 * 9 * 5
A = 141.4 square centimeters
The vertices of quadrilateral DEFG are D(-2, 6), E(-4, 6), F(-6, 9), and G(-1, 9). Find the coordinates of the image of quadrilateral DEFG after a translation using the rule (x, y) → (x + 1, y - 6), a reflection over the x-axis, and a reflection over the y-axis
Answers
Answer:
the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)
Step-by-step explanation:
after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)
after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)
after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)
Which scenario could be represented by the algebraic expression n minus 13?
Answers
christian has a collection of 18 shark teeth he has 6 tiger shark what precentage is tiger
Answers
Answer:
33.3% I think lpl
Step-by-step explanation:
Each unit in the graph above is one block. How far would you have to walk from the party supply store to the art gallery and then continue on to the dry cleaners?
Options:
A)
6 blocks
B)
11 blocks
C)
12 blocks
D)
10 blocks
Answers
Answer:
11 blocks
Step-by-step explanation:
help please fast 10min left :(
Answers
Answer:
The angle corresponding to angle 4 is angle 8
Compré un TV que costó 35.000 pesos. Si en la aduana debo pagar 10 % por impuesto de nacionalización y 12 % sobre el precio nacionalizado de IVA. ¿Cuánto dinero pagué en total solo en impuestos?
Answers
Answer:
7700 in taxes
27300 pesos remaining
7700 en impuestos
Quedan 27300 pesos
Step-by-step explanation:
I bought a TV that cost 35,000 pesos. If at customs I must pay 10% for nationalization tax and 12% on the nationalized VAT price. How much money did I pay in total just in taxes?
determine whether the given lines are parallel or not right with the reason
Answers
Answer:
[tex]AB[/tex] is parallel to [tex]CD[/tex] ([tex]AB ||CD[/tex])
Step-by-step explanation:
In a set of parallel lines cut by the traversal, [tex]\angle AHG[/tex] and [tex]\angle DGH[/tex] are alternate interior angles. In a set of parallel lines cut by a traversal, alternate interior angles are always equal. Therefore, since [tex]\angle AHG=\angle DGH=115^{\circ}[/tex] (they are equal), the lines AB and CD must be parallel.
*A set of parallel lines proves that alternate interior angles are always equal, but the converse is also true in that equal alternate interior angles proves a set of parallel lines. This is because if you changed the angle measure of either of the angles, the relative slope of the lines must change and they would no longer be parallel.
if CH CD and DG CD, then CH ? DG.
Answers
Answer:
The answer is A
Step-by-step explanation:
If two lines are perpendicular to that same line, then they are parallell.
PLEASE HELP ME! I NEED HELP :))))
Answers
Answer: The equation is h(x) = 45(1/5)^x
This is the same as h(x) = 45(0.2)^x because 1/5 = 0.2
=======================================================
Explanation:
We'll start with y = a*b^x, and plug in x = 0 to find that,
y = a*b^x
y = a*b^0
y = a*1
y = a
The table says that y = 45 is the case when x = 0. So that must mean a = 45.
The value of ''a' is the y intercept and it's the initial value.
---------
So the equation y = a*b^x updates to y = 45*b^x
Let's plug in (x,y) = (1,9) and solve for b
y = 45*b^x
9 = 45*b^1
9 = 45b
45b = 9
b = 9/45
b = 1/5
b = 0.2
Therefore, the equation in fraction form is y = 45(1/5)^x
That same equation in decimal form is y = 45(0.2)^x
---------
To verify the equation, plug in various values of x and you should get y values that are shown in the table.
For instance, plug in x = 2 to find that
y = 45(0.2)^x
y = 45(0.2)^2
y = 45(0.04)
y = 1.8
which matches with the table. That verifies the 5th row. I'll let you verify the other rows.
The cost of 5 kg of mangoes is rupees 147. At what rate per kg are the mangoes
being sold.
Answers
Step-by-step explanation:
the cost of 1 kg mangoes = 147/ 5
= Rs. 29.40
mark me as brainliest
Answer:
cost of 1 kg mango = rupees 29.4
Step-by-step explanation:
cost of 5 kg mangoes =rupees 147
cost of 1 kg mango =?
Now, lets find cost of 1 kg mangoes
CP od 1 kg mangoes = cost of 5 kg mangoes/5 kg
=rupees 147/5
=rupees 29.4
Darryl was shopping for a new camera. He found one with an original price of $125.00 and is marked 45% off. Sales tax for the item is 5.2%. What is the final price of the camera, including tax?
Answers
Answer:
$75.25
Step-by-step explanation:
Given data
Original price =$125
Discount =45%
Tax=5.2%
Let us find the discount
45/100*125
0.45*125
56.25
Let us find the tax
5.2/100*125
0.052*125
6.5
Hence the amount is
125-56.25+6.5
=$75.25
Solve the inequality, then identify the graph of the
solution.
2x – 1 > x + 2
N
X
-20
-10
0
10
20
r
-20
-10
0
10
20
-20
-10
0
10
20
-20
-10
0
10
20
Answers
Hope this is straightforward.
47 cm
Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
37 cm
35 cm
24 cm
The surface area is cm².
Answers
Answer:
I'll setup the problem. But I have a question about the car the equal sides of the isosceles triangle. We'll go with 37 cm
Step-by-step explanation:
you will have to find the areas of the 2 isosceles triangles at either end and the 3 rectangles around the triangles.
Area for the triangles
[tex]A = \frac{1}{2} bh[/tex]
b = base of triangle, I'll guess it's 24cm
h = height (draw a line between the vertex of the equal sdes to the base at a right angle, then use Pythagoras to
find the height)
[tex]
h = \sqrt{ {37}^{2} - {( \frac{1}{2}b) }^{2}}[/tex]
area for rectangles
37x47 + 24x47 + 37x47
sorry it's a little sloppy (I'm on a cellphone)
comment if you have questions
