Answers
Ratio remains same
AX:XC=DX:XB=3:2So
DX=12cmXB=8cmAX=7.2cmXC=4.8cmNow
<ABX be P
[tex]\\ \rm\Rrightarrow tanP=\dfrac{AX}{BX}[/tex]
[tex]\\ \rm\Rrightarrow tanP=\dfrac{7.2}{8}[/tex]
[tex]\\ \rm\Rrightarrow tanP=\dfrac{9}{10}[/tex]
[tex]\\ \rm\Rrightarrow P=41.98°[/tex]
And
<XBC be N[tex]\\ \rm\Rrightarrow tanN=\dfrac{XC}{BX}[/tex]
[tex]\\ \rm\Rrightarrow tanN=\dfrac{4.8}{8}=\dfrac{3}{5}[/tex]
[tex]\\ \rm\Rrightarrow tanN=0.6[/tex]
[tex]\\ \rm\Rrightarrow N=30.96[/tex]
Now
<ABC=30.96+41.98=72.94°
Answer:
∠ABC = 73.74° (nearest hundredth)
Step-by-step explanation:
Properties of a kite:
A kite has two pairs of equal sides.It has one pair of equal angles.The diagonals bisect at right anglesIf X is the point of intersection, the length of BD = 20 cm
and DX : XB = 3 : 2, then
⇒ DX = 3/5 of 20 and XB = 2/5 of 20
⇒ DX = 12 cm and XB = 8 cm
(see attached diagram)
∠ABC =∠XBC + ∠XBA
As ∠XBC ≅ ∠XBA then ∠ABC = 2∠XBC
To find ∠XBC use tan ratio:
[tex]\mathsf{tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]
Given in ΔXBC
angle = ∠XBCside opposite the angle = 6 cmside adjacent the angle = 8 cm[tex]\mathsf{tan(XBC)=\dfrac{6}{8}=\dfrac34}[/tex]
[tex]\mathsf{angle(XBC)=tan^{-1}\left(\dfrac34\right)}[/tex]
∠XBC = 36.86989765...°
Therefore, ∠ABC = 2 x 36.86989765...°
= 73.73979529...°
= 73.74° (nearest hundredth)
Related Questions
I nee help. Can anyone help please.
Answers
So that will leave you with 30 degrees
Answer: 38 degrees
Pls help brainliest available
Answers
Answer: The dimensions are 10 2/3 feet by 5 1/3 feet (Ten and two-thirds and five and one third).
Step-by-step explanation: This is our system of equations:y=Lengthx=Widthy=2x2x+2y=32We can substitute the y value in the second equation by plugging in the first equation: 2x+2(2x)=322x+4x=326x=32x=16/3 or 5 1/3We can plug in this x value into the first equation to find the y value:y=2(16/3)y=32/3 or 10 2/3
What is the volume of this square pyramid? 384 cm³ 288 cm³ 192 cm³ 96 cm³.
Answers
Answer:
A. 384 cm3
Step-by-step explanation:
I took the quiz
v = 1/3 x area of base x height
volume = 1/3 x (12 x 12) x 8
= 384 cm3
this is the square pyramid you're talking about?
Solve for x angle Angles b c and A
Answers
Answer:
x = 30
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
The given is a right triangle so one of the angle is 90 degrees:
90 + 2x + x = 180 add like terms
90 + 3x = 180 subtract 90 from both sides
3x = 90 divide both sides by 3
x = 30
What lines are lines of symmetry of a rectangle?
Question 5 options:
Line x and y
Line x only
Line x, y, and m
Line x, y, m, and p
Answers
If a = 2 and b = -3, evaluate (a- b2,3
0.)
A)
-665
B)
-125
C)
-5
D)
2197
Answers
The picture pleaseeeeeeeeerrree
Answers
Answer:
The answer is 188 square feet I would think.
Given: Circle X with radius r and circle
Y with radius s
Statements Reasons
Prove: Circle X is similar to circle Y.
translate X to Y
circle X-circle Y
dilate circle X by slr
circle with center X
has radius center Y
Reasons
X
Answers
Answer: answer
Step-by-step explanation: Answer:1. Circle with center X had radius r ; Given
Circle with center Y had radius Y has radius S ; Given
Translate X to Y ; Translation is a similarity transformation
Dilate circle X by s/r ; Dilation is a similarity transformation
Circle X ~ Circle Y ; a composition of similarity transformation maps circle X to circle Y
Answer:
view attachment
What is the geometric mean of 5 and 11?
Answers
Answer:
√55
Step-by-step explanation:
The geometric mean of a and b is √(ab).
The geometric mean of 5 and 11 is √(5 × 11) = √55
find the area of the circle use 3.14π
Answers
Answer:
[tex]\huge\boxed{\sf 28.26 \ in. ^2}[/tex]
Step-by-step explanation:
Given that:
Diameter = 6 in.
We know:
Radius = Diameter / 2
Radius = 6 / 2
Radius = 3 in.
Now,
Area of the circle:
[tex]= \pi r^2\\\\Where \ r = 3 \ in.\\\\= (3.14)(3)^2\\\\= (3.14)(9)\\\\= 28.26 \ in.^2\\\\\rule[225]{225}{2}[/tex]
Answer:
A=3.14(23)^2
3.14(529)
1,661.06
1,661.1
Step-by-step explanation:
3(-8x+5)+35x=-2(5x+-2)
Answers
Answer: Your answer is -11/21 or -0.523809
Hope this helps!
Answer:
this is so confusing
Step-by-step explanation:
because it cofused
40 POINTS HURRY! Which ordered pair is not a solution of the linear equation shown?
y=1/2x
Answers
Answer:
Step-by-step explanation:
The answer is (C) since when we plug in (4,8) we get that
y= 1/2 x
8 = 1/2 *4
8=2, which isn't true.
Hope that helps!
How do I find the area of a circle's shaded region?
Answers
Answer: There are two ways you can do this; by radians or by degrees.
Step-by-step explanation: The formula used for calculating an area of a circle's shaded region in RADIANS is: A = (θ / 2) × r^2 and θ is equivalent to radians. The second formula used for calculating an area of a circle's shaded region in DEGREES is: (θ / 360) × πr2 where θ is equivalent to degrees.
Line K has the equation 9x-4y=-5x4.
Line L is parallel to line K, but line L passes through the point (4,7).
The equation for L in slope-intercept form is_______
Answers
=======================================================
Explanation:
Line K is 9x-4y=-5*4 which is the same as 9x-4y=-20
Rule: Anything parallel to Ax+By = C is of the form Ax+By = D.
The equation 9x-4y=-20 has A = 9, B = -4 and C = -20.
That means Ax+By = D becomes 9x-4y = D.
------------------------------
Plug in the coordinates (x,y) = (4,7) and compute the value of D.
9x-4y = D
D = 9x-4y
D = 9(4)-4(7)
D = 36 - 28
D = 8
So 9x-4y = D becomes 9x-4y = 8
----------------------------
The last step is to solve for y to get the equation in y = mx+b form.
9x-4y = 8
-4y = 8-9x
-4y = -9x+8
y = (-9x+8)/(-4)
y = (-9x)/(-4) + 8/(-4)
y = (9/4)x - 2 is the slope-intercept form of line L
The equation is in y = mx+b form where,
m = 9/4 = slope
b = -2 = y intercept
A bacteria population decreases by a factor of 1/2 every 4 hours. Explain why we could also say that the population decays by a factor of (1/2 )^1/4 every hour.
Answers
Answer:
(1/2)^(t/4) = ((1/2)^(1/4))^t
Step-by-step explanation:
If time t is given in hours, then the number of 4-hour time periods is t/4. If the half-life is 4 hours, the population multiplier is ...
(1/2)^(t/4)
Using the rules of exponents, that can be rearranged to ...
(1/2)^((1/4)·t) = ((1/2)^(1/4))^t
That is, the multiplier every hour is ...
(1/2)^(1/4)
_____
The relevant rule of exponents is ...
(a^b)^c = a^(bc)
Mike is building storage boxes. Each box will have a length of 5 feet, a width of 412 feet, and a height of 312 feet. A pint of paint covers 50 square feet.
How many pints of paint does Mike need to buy in order to paint 4 boxes?
9 pints
7 pints
6 pints
5 pints
Answers
Answer:
9 pints
Step-by-step explanation:
if you times 9 x 50 you get 450
im pretty sure when you change the sign in an equation you actually have to change all of them so the equation would be 3+5+7. Am i correct?
Answers
Answer:
1
Step-by-step explanation:
Mistake in the second step.
We must add positive numbers or negative ones.
Here he had add the positive and negative numbers and that is the mistake
[tex]=3-(-5)-7\\\\=3+5-7[/tex]Here 5 is positive because -×-=+
[tex]=8-7[/tex]
[tex]=1[/tex]
In the second step, we must add the positives that are 3 and 5 and subtract from 7.
Hope it will help you.
Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 the summation of 4 times negative 3 n, from n equals 4 to 15 the summation of 4 times negative 3 n, from n equals 1 to 15 the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15 the summation of 4 times negative 3 to the n minus 1 power, from n equals 4 to 15.
Answers
By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is [tex]\sum_{n=4}^{15} 5(-2)^{n-1}$$[/tex]
What is sequence ?Sequence is collection of numbers with some pattern .
Given sequence
[tex]a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20[/tex]
We can see that
[tex]\frac{a_1}{a_2}=\frac{-10}{5}=-2\\[/tex]
and
[tex]\frac{a_2}{a_3}=\frac{20}{-10}=-2\\[/tex]
Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2
Now [tex]n^{th}[/tex] term of this Geometric progression can be written as
[tex]T_{n}= 5\times(-2)^{n-1}[/tex]
So summation of 15 terms can be written as
[tex]\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$[/tex]
By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is [tex]\sum_{n=4}^{15} 5(-2)^{n-1}$$[/tex]
To learn more about Geometric progression visit : https://brainly.com/question/14320920
Answer:
D
Step-by-step explanation:
flex point 2023
Which graph represents the step function
f(x) = (x +1] ?
3
2
1
1
2
-2 -1
2
2
1
O 17
1
1
-3 -2 -1
3-2-11
2 3
20
-2
I need helppp
Answers
1. K(x) = (3x)2 -x + 2 -x + 1
k(x) = g(x) ∘ h(x)
2. K(x) = 2 ^3x + 2
k(x) = g(x) × h(x)
3. K(x) = 2^x - 3x - 2
k(x) = h(x) ÷ g(x))
4. K(x) = 3(2 x) + 2
k(x) = h(x) ∘ g(x)
5. K(x) = 2^x + 3x + 2
k(x) = g(x) - h(x)
6. K(x) = 2^x(3x + 2)
k(x) = g(x) + h(x)
Which of the following sets of numbers could represent the three sides of a triangle?
Answers
Answer:
{ 14, 30, 33 }
Step-by-step explanation:
for the three sides to form a triangle.
The sum of any 2 sides > third side
{ 7, 22, 29 }
7 + 22 = 29 ← not greater than 3rd side, thus not form a triangle
{5, 7, 12 }
5 + 7 = 12 ← not greater than 3rd side, thus not a triangle
{ 8, 14, 24 }
8 + 14 = 22 < 24 ← sides do not form a triangle
{ 14, 20, 33 }
14 + 20 = 34 > 33
14 + 33 = 47 > 20
20 + 33 = 53 > 14
Thus the sides form a triangle
Question 6 (2 points) What is the area of a triangular wall that has a base leath of 24 meters and a helcht of 6 meters? 14.4 m 4 m 16.8 m 7.2 m
Answers
Answer:
7.2m
Step-by-step explanation:
24 x 6 = 14.4
14.4/2=7.2m
Which could have a length of 7 inches? Lines, point, segment, or ray
Answers
Answer:
segment
Step-by-step explanation:
a line goes on forever in both directions
a point has no length
a ray starts on a point and continues forever in one direction
a segment has a beginning and end because it starts on a point and ends on a point
Please someone work out x - 2/7 = 5
Answers
We know that:
Given equation: [tex]x - \frac{2}{7} = 5[/tex]1. Add 2/7 both sides.[tex]x - \frac{2}{7} = 5[/tex]=> [tex]x - \frac{2}{7} + \frac{2}{7} = 5 + \frac{2}{7}[/tex]=> [tex]x = 5 + \frac{2}{7}[/tex]2. Make the denominators equivalent.=> [tex]x = 5 + \frac{2}{7}[/tex]=> [tex]x = \frac{5 \times 7}{7} + \frac{2}{7}[/tex]=> [tex]x = \frac{35}{7} + \frac{2}{7}[/tex]3. Simplify the equation and find the value of x.=> [tex]x = \frac{35}{7} + \frac{2}{7}[/tex]=> [tex]\bold{x = \frac{37}{7} = \frac{35}{7} + \frac{2}{7} = 5 + \frac{2}{7} = 5\frac{2}{7} }[/tex]An item that was being sold for $45.00 was raised to $60.00. Find the percent increase in price.
Answers
Answer:
u get raised money subtract sold and da answer u get divide wiz raised one and multiply by 100%
what is 1/4 times 1/4 times 1/4
Answers
Answer:
1/4 x 1/4 x 1/4
1/64
hope it helps
~Shoto Todoroki here~
Answer:
0.015625 or in fraction form: 1/64hope this helps :))
5 A system of equations contains the Iines x+4y=2 and x-2y=c. When solving the system algebraically it is determined that x=6. What is the value of c in the second equation?
А. c=4
B. c=6
C. c=8
D. c=-4
Answers
Answer:
c = 8
Step-by-step explanation:
x = 6
from first equation : 6 + 4y = 2 → 4y = 2-6=-4 → y= -1
second equation : 6 -2(-1) = c → c = 6+2=8
Solve the inequality X - 5<3
What’s the answer
Answers
Answer:
The answer could be 7 or 6
Step-by-step explanation:
7 - 5 = 2
2 < 3 is correct
6 - 5 = 1
1 < 3 is correct
Only A and B!it’s easy but I didn’t pay attention
Answers
please help with q6 !!
Answers
Hi!
Answers to your question is attached as picture. Please check.
Have a great day! :)
Arrange the steps from start to finish to factor this expression using the grouping method x^2-5x-24 drag the tiles to the correct boxes not all tiles will be used step by step
Answers
Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
