Answers
Answer:
Step-by-step explanation:
(your value for y is correct)
this is an equilateral triangle so the right triangle’s hypotenuse is 40
to find x we need to use sin (which equals opposite of the angle over hypotenuse)
so
sin(x) = 20/40
sin(x) = 1/2
sin inverse(1/2) = x
x = 30°
Related Questions
please help me!!! i will gladly give brainliest :)
Which method and additional information would prove ΔONP and ΔMNL similar by the AA similarity postulate?
A. Use a rigid transformation to prove ∠NOP ≅ ∠NML.
B. Use a rigid transformation to prove ∠NOP ≅ ∠ONP.
C. Use rigid and nonrigid transformations to prove segment LN over segment ON = segment PN over segment MN.
D. Use rigid and nonrigid transformations to prove segment LM over segment ON = segment PN over segment MN.
Answers
Given:
ΔONP and ΔMNL.
To find:
The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?
Solution:
According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.
In ΔONP and ΔMNL,
[tex]\angle ONP\cong \angle MNL[/tex] (Vertically opposite angles)
To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.
Using a rigid transformation, we can prove
[tex]\angle NOP\cong \angle NML[/tex]
Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,
[tex]\Delta ONP\sim \Delta MNL[/tex] (AA postulate)
Therefore, the correct option is A.
Similar triangles may or may not be congruent.
The additional information to prove ΔONP and ΔMNL are similar by AA similarity postulate is (a) Use a rigid transformation to prove ∠NOP ≅ ∠NML.
From the question, we have:
[tex]\mathbf{\triangle ONP \sim \triangle MNL}[/tex] --- ONP and MNL are similar triangles
Because the similarities of the triangles are to be proved by AA postulate, the following angles must be corresponding and congruent
[tex]\mathbf{\angle ONP \cong \angle MNL}[/tex]
[tex]\mathbf{\angle NOP \cong \angle NML}[/tex]
[tex]\mathbf{\angle PON \cong \angle LMN}[/tex]
Option (b) is incorrect because angles NOP and ONP are not corresponding angles
Options (c) and (d) are incorrect, because they prove the similarities by lines segments.
Hence, the correct option is (a).
This is so because, it proves the similarities of both triangles by using corresponding angles.
Read more about similar triangles at:
https://brainly.com/question/20502441
I need to know where to place the dot
Answers
Answer:
in your but
Step-by-step explanation:
nah jk its 3,-3
Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground
Answers
what does the question ask?
Answer: 77.27
Step-by-step explanation: I did the test and I got it right.
BRAINLEYEST! POINTS AND 5 STARS! TO RIGHT ANSWER! you have to order the boxes to where there soppost to be just order it with the numbers i put
exp:
1
3
4
6
5
2
Answers
Answer:
It would be
6
4
1
5
3
2
Step-by-step explanation:
The first one would equal 7
The second one would equal 10
the third one would equal 9
The fourth one would equal 6
The fifth would equal 8
ANd the sixth would equal 3
Order / Least To Greatest: 2, 6, 4, 1, 3, 5
Step-by-step explanation:
A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight in water and ate half its weight in food. Which equation can be used to find t, the combined weight of the water and the food, in ounces, that the hummingbird had on this day?
need this asap
Answers
Answer:
t = 8 1/2wStep-by-step explanation:
The hummingbird drank 8 times its weight in water:
8wThe hummingbird ate half its weight in food
1/2wRequired equation:
t = 8w + 1/2w ⇒ t = 8 1/2wAnswer:
t= 8w + 1/2w
Step-by-step explanation:
4x + 9 = 2x + 15 .. I need help
Answers
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
4x + 9 = 2x + 15
Step 2: Solve for x
Subtract 2x on both sides: 2x + 9 = 15Subtract 9 on both sides: 2x = 6Divide 2 on both sides: x = 3Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4(3) + 9 = 2(3) + 15Multiply: 12 + 9 = 6 + 15Add: 21 = 21Here we see that 21 does indeed equal 21.
∴ x = 3 is the solution to the equation.
PLEASE I WILL GIVE BRAINLIEST
Write the SLOPE INTERCEPT form of a line that passes through point A at (4,-3) and point B at (2,1)
Answers
Answer:
y = -2x + 5
Step-by-step explanation:
A(4, -3) ; B(2, 1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{1-[-3]}{2-4}\\\\= \frac{1+3}{2-4}\\\\= \frac{4}{-2}\\\\= -2[/tex]
m = -2 ; A(4,-3)
[tex]y - y_{1}=m(x-x_{1})\\\\y -[-3] = (-2)(x - 4)\\\\y + 3 = -2*x -4 *(-2)\\\\y + 3 = -2x + 8\\\\ y = -2x + 8 - 3 \\\\ y = -2x + 5[/tex]
Sam calls a friend to get help with his math homework. Which instructions would best help Sam solve the inequality shown below? 15 3/4 < -2 + x
F. Add 15 3/4 to both sides of the inequality.
G. Subtract 2 from both sides of the inequality.
H. Add 2 to both sides of the inequality.
J. Subtract 15 3/4 from both sides of the inequality.
Answers
H. Add 2 to both sides of the inequality.
Explanation:
To get x by itself, I would add 2 on both sides.
15 3/4 < -2 + x
+2 on both sides
17 3/4 < x
which equation best represents the relationship between X and Y in the table
Answers
Answer:
y=3x-2
Step-by-step explanation:
Answer:
y =2x -3
Brainiest pls :)
PLEASE HELP ILL GIVE BRAINLIEST I JUST NEED THE ANSWER
Answers
Answer:
WHATT IS THIS MATH IT LOOKS SO HARD:0
1620, 540, 180, 60, 20,...
Find common ratio.
Answers
Answer:
multiplying by 3
Step-by-step explanation:
20x3=60 60x3=80. and the rest is the same.
This is the John Hancock Building. What shape do you think surrounds the diagonal braces? List several ways to test your conjecture.
Answers
Answer:
ha you said C O C K
Step-by-step explanation:
Yo can I get some help with this ?
Answers
Answer:
Y= 60 degrees.
Step-by-step explanation:
A traingle's three angles always equals 180 degrees. since the singular line on the triangle on the right mean the side are equal, the angles are also equal. 180 divided by 3 equals 60 degrees.
footpath is to be constructed in a park in the shape of a parallelogram. When a coordinate plane is laid over a map of the park, the vertices of the footpath are (−4, 2), (8, 2), (11, 7), and (−1, 7).
Answers
Answer:
35.7Step-by-step explanation:
Step one
Given the coordinates
ABCD with vertices A(−4, 2), B(8,2), C(11, 7), and D(-1, 7).
AB=(−4, 2), (8,2)
BC=(8,2), (11, 7)
CD=(11, 7),(-1, 7)
DA=(-1, 7),(-4,2)
The distance between points AB=
[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex]AB= \sqrt (8+4)^2+(2-2)^2\\\\AB= \sqrt 12^2+(0)^2\\\\AB= \sqrt144\\\\AB=12[/tex]
The distance between points BC=
[tex]BC= \sqrt (11-8)^2+(7-2)^2\\\\BC= \sqrt 3^2+(5)^2\\\\BC= \sqrt34\\\\BC=5.8[/tex]
The distance between points CD
[tex]CD= \sqrt (-1-11)^2+(7-7)^2\\\\CD= \sqrt -12^2+(0)^2\\\\CD= \sqrt144\\\\CD=12[/tex]
The distance between points DA
[tex]DA= \sqrt (-4+1)^2+(2-7)^2\\\\DA= \sqrt -3^2+(-5)^2\\\\DA= \sqrt34\\\\DA=5.8[/tex]
Hence the perimeter of the footpath= 12+5.8+12+5.8
=35.7
YZ ∥ VX . Find WX. 34 16 8 Y Z W X V WX =
Answers
Answer:
this really doesnt make sense sorrry
Step-by-step explanation:
The between two points can be found by drawing a triangle. The length of this is the of the right triangle, the other two sides are and Example One: Determine the distance between the two points: (-2, -3) and (3, 4) (1) the points and the segment. a right triangle, and the units for the legs. (3) the right triangle, with and (4) Set up an equation. → Simplify and solve a² + b² = c²
Answers
Answer:
Don't let anyone bring you down you matter you rock!
Step-by-step explanation:
Noah is solving an equation, and one of his moves is unacceptable. Here are the moves he made.
Which answer best explains why the “divide each side by step” is unacceptable?
a. When you divide both sides of 2x = 6x by X you get 2x² = 6x²
b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
c. When you divide both sides of 2x = 6x by x you get 2 = 6x.
d. When you divide both sides of 2x = 6x by x it could lead us to think that there is no solution while, in fact, the solution is x = 3
Answers
Answer:
b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Step-by-step explanation:
The solution is correct up to the step 2x = 6x
2x = 6x
Subtract 2x from both sides.
0 = 4x
Divide both sides by 4.
x = 0
You cannot divide both sides by x since x could be zero, and in fact, it is.
Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
The correct option is (b) When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The linear equation is:
2(x + 6) - 4 = 8 + 6x
After simplifying the above linear equation in one variable:
2x = 6x
The correct steps are:
6x - 2x = 0
4x = 0
x = 0
When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Thus, the statement best explains that “divide each side by step” is unacceptable" is When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
PLS HELP ILL MARK AS BRAINLESS
Answers
Answer: Area is 2250 and the peremiter is 210
Step-by-step explanation:
Answer:
Area :2250
Perimeter: 210
Step-by-step explanation:
For area just multiply the two side lengths and for perimeter just add them all together-75,75,30,30.
What is the slope of the line graphed on the coordinate plane?
Answers
Answer:
3/4 slope
Step-by-step explanation:
Mark me brainleist please ;c
don’t make me cry ;c
Step-by-step explanation:
When the line moves up 3 blocks, it also moves across 4 blocks.
Therefore the slope of the line is 3/4.
Write the equation of the table shown below.
Х
0
2
5
9
12
у
4
6
9
13
16
Answers
Answer:
sorry... but the image is all black
I cant see anything
in each one section there are 27 student and there are 17 section how many students are in total
Answers
Answer:
459 students.
Explanation:
Since you are given the number of how many students are in each section, simply multiply to find the total answer.
27 x 17 = 459
There are 459 students.
Answer:
459 students
Step-by-step explanation:
Since there are 27 students, and 17 sections, multiply the two numbers:
27 × 17 = 459
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
?:(
Answers
Answer:
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
Step-by-step explanation:
According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:
[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:
[tex]x_{B} = 1.25\cdot (14)[/tex]
[tex]x_{B} = 17.5[/tex]
[tex]y_{B} = 0.75\cdot (21)[/tex]
[tex]y_{B} = 15.75[/tex]
From (2):
[tex]m = \frac{15.75-21}{17.5-14}[/tex]
[tex]m = -\frac{3}{2}[/tex]
By (1):
[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
An invested sum of $600000 to generate simple interest $3.9000 at 3 (whole number) 1/4% per annum if you don't know please don't answer
Answers
Answer:
20 years
Step-by-step explanation:
We can find the time it took to invest
Using the formula for calculating simple interest as shown
SI = PRT/100
Given
Principal P = $600,000
SI = $39,000
Rate R = 3 1/4%
Required
Time
Substitute
39,000 = 600,000*13/400 * T
39,000 * 400 = 600,000*13 * T
15,600,000 = 7,800,000T
T = 15,600,000/7,800,000
T = 20
Hence it took 20years for the sum invested to generate the interest
Please answer quickly, thanks. :)
Answers
Answer:
11 cars/day
Step-by-step explanation:
What we know:
After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.
Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.
I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.
The 6% state income tax on a $40,000 salary
Answers
6/100 * 40,000=
6*400=
$2400
Answer:
2400
Step-by-step explanation:
because 6 percent of 40000 is 2400 please mark brianliest
Am not sure what this answer is
Answers
Answer:
100 pieces
Step-by-step explanation:
11/220 = 5/x
1100=11x
x=100
27) What is the formula of area of a circle?
Answers
Answer:
πr^2
Step-by-step explanation:
My 11th grade teacher taught me this song to remember the formula for area and circumference of a circle (to the tune of "Twinkle Twinkle Little Star"):
"Twinkle twinkle little star circumference equals 2πr. Area if you ever cared always equals πr^2."
Answer:
A=πr2
Step-by-step explanation:
i believe this is the formula
graph y=3/4x-4 pls helppppppp.......,,,,,,,,,,.,,,,,
Answers
Step-by-step explanation:
Plug in y=3/4x-4 into desmos :)
If RT¯¯¯¯¯¯ is extended to contain a point W so the UW has a length of 8, what is the length of SW?
Answers
Answer:
8
Step-by-step explanation:
SW and UW are equal because they are at the midpoint . A midpoint is a point on a line segment that divides it into two congruent segments.
4 • 7 – 6 2 ÷ 3 also show your work
Answers
Answer:
7 1/3
Step-by-step explanation:
Lets do this in steps ok? K!
Important!!!: Look what operation is first in order of operation no parentheses or exponents so division and multiplication is first!
Step 1-- 4 x 7=28
Step 2-- 62 divided by 3 = 20 2/3
Step 3-- 28- 20 2/3
Step 4-- 27 3/3 - 20 2/3= 7 1/3
Hope this helps ∞<3
Answer:
[tex]-11.3333333333[/tex] [tex]or[/tex] [tex]-\frac{34}{3}[/tex] [tex]or[/tex] [tex]7\ \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]\frac{4\cdot7-62}{3}[/tex] = [tex]?[/tex]
[tex]4\cdot7[/tex] = [tex]28[/tex]
[tex]\frac{28-62}{3}[/tex] = [tex]?[/tex]
[tex]28-62[/tex] = [tex]-34[/tex]
[tex]\frac{-34}{3}[/tex] = [tex]?[/tex]
[tex]\frac{-34}{3}[/tex] = [tex]-11.3333333333[/tex] = [tex]7\ \frac{1}{3}[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]