Answer:
A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]
In triangle XYZ, we can find XZ using cosine rule:
[tex]XZ^2=XY^2+YZ^2-2(XY)(YZ)cosY\\\\subtituting:\\\\XZ^2=15^2+8^2-2(15)(8)cos(52)\\\\XZ^2=141.24\\\\XZ=11.88\\\\Using\ sine\ rule:\\\\\frac{XZ}{sin(Y)}=\frac{XY}{sin(Z)}\\\\\frac{11.88}{sin(52)}=\frac{15}{sin(Z)}\\\\sin(Z)=15*sin(52) /11.88\\\\sin(Z)=0.9946\\\\Z=sin^{-1}(0.9946)\\\\Z=85^0[/tex]
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
∠X + 52 + 85 = 180
∠X + 137 = 180
∠X = 43°
∠X = 3w - 35
3w - 35 = 43
3w = 78
w = 26
In triangle RST, using sine rule:
∠R = w + 17
∠R = 26 + 17
∠R = 43°
∠R + ∠S + ∠T = 180° (sum of angles in a triangle)
43 + 52 + ∠T = 180
∠T + 95 = 180
∠T = 85°
What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?
Answer: = (-2,3)
Step-by-step explanation:
Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.Here, fixed point = origin = (0,0)
Transformation rule for rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin:
[tex](x,y)\to (-y,x)[/tex]
Then, the image of the point (3,2) = (-2,3)
Hence, the image of the point (3,2) after a rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)
Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy
Step-by-step explanation:
Find the coordinates of the point on the directed segment from (1,2) to (6,12) that divides it into a ratio of 2:3
Answer:
Point of contact ( 3,6)
Step-by-step explanation:
Step(i):-
Given that the points are (1,2) and (6,12)
The ratio 2:3 divides the line segment
The line segment divides m:n externally
[tex](\frac{mx_{2}-nx_{1} }{m-n} ,\frac{mx_{2}-nx_{1} }{m-n} )[/tex]
Step(ii):-
(x₁, y₁) = (1,2) and (x₂, y₂)= (6,12) and m:n =2:3
[tex](\frac{2(6)+3(1) }{2+3} ,\frac{2(12)+3(2) }{2+3} )[/tex]
([tex](\frac{12+3}{5} ,\frac{24+6}{5} )[/tex]
([tex]\frac{15}{5} ,\frac{30}{5})[/tex]
(3 , 6)
Final answer:-
Point of contact ( 3,6)
The price of gas was $2.49 last month. This month, gas costs $2.79. What is
the percent increase?
Answer:
12%
Step-by-step explanation:
2.79 - 2.49 = $0.30
0.30 / 2.49 = 0.12 = 12% (decimal changes to percent)
You can check your work by doing original cost times the decimal of the percent increase. $2.49 * 0.12 = $0.30. Add this to original -> 0.30 + 2.49 = $2.79.
PLEASE HELP if 5 more than 3 times a number is -4, what is the number?
Answer:
x = -3
hope it's helpful ❤❤❤
THANK YOU.
Hey there!
The answer to your question is "n = -3"
First, we can start by writing the equation as it says. "3 times a number" represents a number times 3, or "3n"
3n
Next, "5 more" represents addition, so "+ 5"
3n + 5
Finally, "is -4" means it is equal to -4, so "= -4"
3n + 5 = -4
Now that we have our equation, we can solve:
3n + 5 = -4
First, we subtract "5" from both sides of the equal sign:
3n = -9
Lastly, we divide both sides by "3".
n = -3
Have a terrificly amazing day!
Please help with this question
Answer:
-16
Step-by-step explanation:
becjv dfv igcicifcigxixixicocvicicirxc ou9 xexiixi xiexexuwuzwxit
Answer:
I would say 57 is the answer
Step-by-step explanation:
which letter would be the most meaningful variable for this problem situation? the distance a bike travels divided by 3!
Answer:
We could use 'd' as a variable to represent distance. And since distance is the most important thing in this question, the most important variable would be 'd'.
Is this what you were asking?
I hope I could help. (๑•～•)
32% of 25 is what number
Answer:
8
Step-by-step explanation:
it just is
Answer:
8
Step-by-step explanation:
Convert to a decimal
32%
move two decimal points to the left
0.32
multiply
0.32 times 25 = 8
How many times will the graph of this equation cross the x-
axis?
y= 22^2– 7x - 9
Can someone help me ?
Answer:
Step-by-step explanation:
Given
let the unknown angle be x then,
with reference angle x
perpendicular(p) = 3
base(b)= 9
now
tan x = p/b
tan x = 3 / 9
tan x = 1 / 3
x = tan ^-1( 1/3)
x = 18.43°
hope it will help u :)
Geometry- which statement is true
Answer:
its the 3rd one ab and cd
This trapezoid based right pyramid has a volume of 48m cubed with a height of 8 and slant height of 14 what is the area of the base of the pyramid
Answer:
18
Step-by-step explanation:
Khan Academy
PLEASE HELPPPPP!!!
There is a line that includes the point (–4, 2) and has a slope of 1/4 .What is its equation in slope-intercept form?
Step-by-step explanation:
Slope-intercept form: y = mx + c
We have m = 1/4. Since it passes through the
point (-4, 2), => When x = -4, y = 2.
=> (2) = (1/4)(-4) + c, 2 = c - 1, c = 3.
Hence the equation is y = x/4 + 3.
Answer:
Y = 1/4x + 3
Step-by-step explanation:
Max is flying a kite and gets tired of holding the string attached to the kite. Max has let out approximately 40 feet of string and the string makes a 32 degree angle with the ground. How high is the kite at the time?
Answer: i think 8
Step-by-step explanation:
What is the largest integer that makes 4t - 42 - 18t > -14 true?
Answer:
[tex]t < - 2 \\ t = - 3[/tex]
Step-by-step explanation:
[tex]4t - 42 - 18t > - 14[/tex]
[tex]4t - 18t > - 14 + 42[/tex]
[tex] - 14t > 28[/tex]
[tex] \frac{ - 14t}{ - 14} < \frac{28}{ - 14} [/tex]
[tex]t < - 2[/tex]
[tex]if \: \: \: \: \: t = - 3[/tex]
[tex]4t - 42 - 18t { > }^{?} - 14[/tex]
[tex]4 \times - 3 - 42 - 18 \times - 3 { > }^{?} - 14[/tex]
[tex] - 12.6 > - 14[/tex]
Which of the following graphs represents the equation y- 4 =3(x-1)
A. Graph A.
B. Graph B
C. Graph
D. Graph D
please help
Answer:D
Step-by-step explanation:y-4=3(x-1)
y-4=0 3(x-1)
y=-4 , 3x-3
y=-4=3x-3
3 3
y=-4, = x=1
y-x=1+4=5
What is the slope of the line?
2/3
i dont know how to explain it all i learned was rise over run (rise/run) just like y/x but its easier to rmrmber
The volume of a cube is 96 cubic millimeters. What is the length of each edge of the cube?
Answer:
V= a³ => 96 = a³ => a= ∛96 =2∛12
The length of each edge of the cube : C : 2∛12
Step-by-step explanation:
Re write the statement 19+7 divided by 2-5 by including one pair of brackets to make the total equal to 8
Would love it if you guys helped me and showed solutions! Brainly points and thank you points too! <3
Unitary method question.
Answer:
the better value is £9
Step-by-step explanation:
unitary method..
find out how much 1kg will cost in the supermarket and multiply by 12.5kg
For the supermarket
1.83/2.5= 0.732 for one kg.
for 12.5 kg
0.732× 12.5= £9.15
hence the farm shop price is lower than the supermarket price
The propability of Sachin's team winning any match is 0.45
Write down the propability of sachin's team not winning any match.
Answer:
0.55
Step-by-step explanation:
o.45 + X = 0.55
the probability of not winning is 0.55
14 is 33 1/2% of what number?
Answer:
41.79
Step-by-step explanation:
c = 14 * 100/33.5 = 1400/33.5 = 2800/67
= 41.79104
John bought 4 pants that each cost the same amount and a pair of sneakers that cost $65. The items he bought cost a total of $145 before tax was added. Which equation represents the cost of each pants, p.
Answer:p=$20
Step-by-step explanation:
145-65=80
80/4=20
so each pant costs $20
p=$20
Help me with this circle question
Answer:
50.265482457436 inches
Step-by-step explanation:
radius = 8 inches
C = 2×pi×r
= 2×pi×8
C = 50.265482457436 inches
at a concession stand three hotdogs in for hamburgers cost $13.50 for hotdogs and three hamburgers cost $12.75 find the cost of one hotdog and find the cost of one hamburger
PLS HELP I'LL MARK BRAINLEST
Answer:
a
Step-by-step explanation:
180-50
Hey there!
Hope this helps!
x=130
An athletics club has junior
(i.e. boy or girl) members and adult members.
The ratio of girls to boys to adults is 3:4:9
and there are 16 more adult members than
junior members. In total, how many members
does the club have
Answer:
The total number of members are 128 members
Step-by-step explanation:
From the question, mixing the ratio of children to adult, we have ;
7:9
There are 16 more adult members
So if there are x children, then there are 16 + x adults
Thus, the total number of members will be;
16 + x + x = 2x + 16
Now, we have that;
7/16 * (2x + 16) = x
7(2x + 16) = 16x
14x + 112 = 16x
16x-14x = 112
2x = 112
x = 112/2
x = 56
The total number of members is thus;
2(56) + 16 = 128
3/5 is simplest form yes or no
Answer:
Yes
Step-by-step explanation:
3 and 5 don't got a GCF
4y=x+8 pls answer hurry up pls
Answer:
x=-8
y=2
Step-by-step explanation:
Select all the inequalities that relate the sides of the figure shown.
b
c>a
c
b>a
a
Answer:
b
Step-by-step explanation:
According to the given angles in the question, angle b is greater than angle a.
What is inequality?Mathematical equations with inequalities on both sides are known as inequalities. In an inequality, we compare these two values as opposed to equations. Somewhere between, the equal sign is changed to a less than (or less than or similar to), bigger than (or greater or equal to), or just not equal to sign.
As per the given data from the question,
The side which has got a larger angle has the largest side.
The side c is greater than a and side b is also greater than a.
The remaining angle can be calculated as:
The sum of all angles will be equal to 360.
x + 75 + 90 + 105 = 360
x = 90°.
To know more about inequality:
https://brainly.com/question/20383699
#SPJ2
Gift boxes at Walgreens are sold in packs of 8, and cost $6.00. At CVS, the price for a 10 pack of gift boxes is $9.00. Determine which store offers a better bargain based on the price per box. Type the name of the store on the line.
Answer:
CVS
Step-by-step explanation:
i am pretty sure
