m∠A = (2x + 5)° and m∠B = (3x − 15)°.
Find the measure of each angle (in degrees) of ▱ABCD.
Answer:
Step-by-step explanation:
We have to assume that ABCD is a parallelogram. If it isn't, leave a note.
Secondly we have to assume that the angles are consecutive. In a parallelogram, consecutive angles are supplementary.
<A + <B = 180
2x + 5 + 3x - 15 = 180
5x - 10 = 180 Add 10 to both sides
5x = 190 Divide by 5
x = 190/5
x = 38
A = 2x + 5
A = 2*38 + 5
A = 81
B = 3x - 15
B = 3*38 - 15
B = 99
Does anybody know the answer? I need help
I saw that this is from 2 weeks ago so it's probaly too late to answer... if you ever have trouble multiplying exponents use symbolab it's an online calculator that's really good (i use it on all my math exams :)
Two cars that are 600km apart are moving towards each other. Their speeds differ by 6km per hour and the cars are 123km apart after 4.5 hours. Find the speed of each car
Answer: [tex]56\ kmph,\quad 50\ kmph[/tex]
Step-by-step explanation:
Given
Two cars are 600 km apart moving towards each other
Difference in their speed is 6 kmph
After 4.5 hr, they are 123 km apart that is, they covered a distance of [tex]600-123=477\ km[/tex] in 4.5 hours
Suppose their speeds is [tex]v_1\ \text{and}\ v_2[/tex]
[tex]\therefore v_1-v_2=6\quad \ldots(i)[/tex]
Also, distance traveled is given by
[tex]\Rightarrow 477=[v_1+v_2]4.5\\\Rightarrow v_1+v_2=106\quad \ldots(ii)[/tex]
Solve, (i) and (ii) , we get [tex]v_1=56\ kmph\ \text{and}\ v_2=50\ kmph[/tex]
PLEASE HELP! I WILL GIVE YOU BRAINLIEST!
Answer:
sry, i am doing this for points
I need help plz I don’t understand
Answer:
Step-by-step explanation:
If AD is an altitude, then by definition it drops from the vertex angle (the top angle) and meets the base at a right angle, which measures 90 degrees. That means that 17x + 73 is a right angle:
17x + 73 = 90 and
17x = 17 so
x = 1
When the focus and directrix are used to derive the equation of a parabola, two distances were set equal to each other. = StartRoot (x minus x) squared + (y minus (negative p)) squared EndRoot = StartRoot (x minus 0) squared + (y minus p) squared EndRoot The distance between the directrix and is set equal to the distance between the and the same point on the parabola.
Answer:
The answer is "A point on the parabola and Focus".
Step-by-step explanation:
[tex]= \sqrt{(x - x)^2 + (y- (-p))^2} = \sqrt{(x-0)^2+ (y-p)^2} \\\\= \sqrt{(0)^2 + (y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= \sqrt{(y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= (y+p) = (x)+ (y-p) \\\\= y+p = x+ y-p \\\\=2p=x\\\\=x=2p[/tex]
Whenever the focus and also the guideline are utilized in determining the parabolic formula, two distances have indeed been equal.
The distance from the direction, as well as a parabolic point, was equal to the distance from the center to a parabolic point.
Answer:
The distance between the directrix and a point on the parabola is set equal to the distance between the focus and the same point on the parabola.
Step-by-step explanation:
Hope this helps! :)
1, Tính:
a,√27 + 7√5 : √2
[tex]\rightarrow\sf \sqrt{27} + 7 \sqrt{5} : \sqrt{2 } \\ = \sf \sqrt{9(3)} + 7 \sqrt{5} : \sqrt{2 } \\ = \sf \sqrt{ {3}^{2} } \times 3 + 7 \sqrt{5} : \sqrt{2} \\ \rightarrow \large\boxed{\sf{\red{3 \sqrt{3} + 7 \sqrt{5} : \sqrt{2} }}}[/tex]
Answer:[tex]\large\boxed{\sf{\red{3 \sqrt{3} + 7 \sqrt{5} : \sqrt{2} }}}[/tex]
[tex]\color{red}{==========================}[/tex]
✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ
✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ
ꕥᴀʀᴀꕥ
Lmk if you understand thanks
Answer:
y = 100,000 (1 + 0.04) ²⁰
Step-by-step explanation:
Here:
100,000 = original amount.
0.04 = rate (a percent)
and
20 = number of times you need to run the simulation.
Mrs.Click has a strawberry patch in her garden. It's border is 4/5 meters wide and 3/2 meters long. What is the area of Mrs.Clicks Garden?
Answer
Mrs. Click's Garden is 6/5 or 1 1/5 square meters.
Explanation
Mrs. Click's has a rectangular garden. To find the area of a rectangle, you multiply the width by the length. To find the area of Mrs. Click's Garden, you multiply 4/5 by 3/2.
To multiply fractions, you multiply the numerator by the denominator.
4×3 is 12 and 5×2 is 10. You get the fraction 12/10, which can be simplified to 6/5, or 1 1/5.
What product is positive (2/5)(-8/9)(-1/3)(-2/7). (-2/5)(8/9)(-1/3)(-2/7). (2/5)(8/9)(1/3)(-2/7). (-2/5)(-8/9)(1/3)(2/7)
Answer:
d
Step-by-step explanation:
a. (2/5)(-8/9)(-1/3)(-2/7)= - 32/945
b. (-2/5)(8/9)(-1/3)(-2/7) = -32/945
c. 2/5 * 8/9 * 1/3 * - 2/7 = - 32/945
d. -2/5 * - 8/9 * 1/3 * 2/7 = 32/945
Answer:
D
Step-by-step explanation:
32/945 is the final answer
Which of the following quadrilaterals must be a parallelogram according to the minimum requirements?
The minimum requirements needed to be a parallelogram is found in Option A quadrilateral, thus Option A is our correct answer.
There are four quadrilaterals given in the option.
We need to check which quadrilateral has the minimum requirements.
What is the minimum requirement to construct a parallelogram?The construct a Parallelogram we need:
- The measure of any two non-parallel sides.
- The measure of an angle.
In a Parallelogram, opposite sides are equal and parallel and the opposite angles are equal.
Checking the options given.
Option A:
- Two parallel and equal sides.
- Equal opposite angles.
It meets the minimum requirement to be a parallelogram.
Option B:
The quadrilateral has only two parallel and equal sides.
It does not meet the minimum requirements to be a parallelogram.
Option C:
The quadrilateral has only one parallel and equal side.
It does not meet the minimum requirements to be a parallelogram.
Option D:
It has no parallel and equal sides.
It has equal opposite angles and diagonal bisecting.
But it does not meet the minimum requirements to be a parallelogram.
We see that the minimum requirements needed to be a parallelogram is found in option A,
Hence Option A is our correct answer.
Learn more about parallelogram here:
https://brainly.com/question/26809733
#SPJ2
Rewrite the expression in the picture in the form k times x^n.
Answer:
8 x^-2
Step-by-step explanation:
2 sqrt(x) * 4x ^ -5/2
Rewriting
2 x^1/2 * 4x ^ -5/2
2*4 = 8
x^1/2 * x^ -5/2
We know a^b * a^c = a^(b+c)
x^ 1/2 * x^ -5/2 = x^ (1/2 -5/2 ) = x^ (-4/2) = x^-2
8 x^-2
Please help ASAP!!
What is the value of x?
Answer:
45°
Step-by-step explanation:
80 + 55=135
Every type of triangle has 180 degrees.
180-135=45 degrees.
what are the steps in solving
12x+4=20x+24
Answer:
x = -5/2
Step-by-step explanation:
12x+4=20x+24
-8x + 4 = 24
-8x = 20
x = -5/2
Pleasee help me with this!!
Answer:
#1 is f.
#2 is d.
#3 is a.
#4 is b.
#5 is c.
#6 is g.
#7 is e.
Step-by-step explanation:
The digit "9" is in the ten's place because it is two numbers/spaces left from the decimal. If you make all the other digits "0", you'll be left with a value of 90.
The digit "1" is in the one's place because it is one number/space left from the decimal. Applying the same concept of making all the other digits "0", you'll be left with a value of 1.
The type of digits to the right of the decimal, starting from left to right, are the tenths place, hundredths place, thousandths place, ten-thousandths place, and millionths. Remember and know those digit types based on their position away from the decimal. The value will be there for you to see afterward.
Solve the following system of equations. -5x - 4y= -11 7x + 3y = 18
Step-by-step explanation:
-5x - 4y= -117x + 3y = 18
-5x +117x = 3y + 4y = 18
112x = 7y = 18
escample: If 600 Students registered for mat 101,300 for Phy 101 while 173 students registered for both mat101 and phy 101 in 2021 first semester, How many Students registered the two course
I don't answer the grammar but if you asked how many kids in total (not counting duplicate people that signed up for both) then 1073 student registered for the courses
An _____________________________ is an answer that falls outside of the domain of the function.
Answer:
irrelevant is the answer for it doesn't belong
Find the sum or difference of the polynomials. Write your answer in descending order (2x2 + 5x – 12) – (-4x2 + 2x+6)
Answer:
The correct answer is 6x^2 + 3x - 18
If two triangles have three congruent, corresponding angles, what additional information is needed to prove that the triangles are congruent?
Answer:
one side length has to be equal in both triangles.
Answer:
To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence.
Step-by-step explanation:
Can you guys help me find ST on the left and WY on the right
Answer:
ST = 17 and WY = 32
Step-by-step explanation:
3
SV is a perpendicular bisector and divides Δ RST into 2 congruent triangles with
ST = SR , that is
7x - 4 = 3x + 8 ( subtract 3x from both sides )
4x - 4 = 8 ( add 4 to both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Then
ST = 7x - 4 = 7(3) - 4 = 21 - 4 = 17
-------------------------------------------------------------------
4
Δ WXY and Δ WXZ are congruent ( both have 3 congruent angles ), then
WZ = WY , that is
9x - 13 = 6x + 2 ( subtract 6x from both sides )
3x - 13 = 2 ( add 13 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Then
WY = 6x + 2 = 6(5) + 2 = 30 + 2 = 32
mary has 17 m of rope. She wishes to cut it in three pieces so that she has 3 m more than amanda, and amanda has 2 m less than Sarah.
Answer:
Length of Sarah rope = 6 m
Length of Amanda's rope = 4 m
Length of Mary's rope = 7 m
Step-by-step explanation:
Let the length of Sarah rope = x
Length of Amanda's rope= x - 2
Length of Mary's rope = (x - 2 ) + 3 = x - 2 + 3 = x + 1
Length of rope = 17 m
x + x - 2 + x + 1 = 17
Combine like terms
x + x + x - 2 + 1 = 17
3x - 1 = 17
Add 1 to both sides
3x = 17 + 1
3x = 18
Divide both sides by 3
x = 18/3
x = 6
Length of Sarah rope = x = 6 m
Length of Amanda's rope= x - 2 = 6 - 2 = 4 m
Length of Mary's rope = x + 1 = 6 + 1 = 7 m
YES OR NO PLS HELP URGENT
If two polygons are similar are they necessarily congruent?
YES OR NO? WITH EXPLANATION
Answer
Conditions for similar polygons. We say two figures are similar if they have the same shape, but not necessarily the same size. If they also have the same size, we say they are congruent. ... If two figures are similar, then they are also congruent.
SOMEONE PLEAS HELP ME OUTTTTT!!!
Answer:
31 degrees
Step-by-step explanation:
the side with the length of 29 can be seen as the radius of a circle.
and the sin value of an angle is the distance of a point on that circle from the x-axis. as the standard sin function is for the standard circle with radius 1, we need to multiply this by the actual radius.
15 = sin(?)×29
sin(?) = 15/29 = 0.5172...
? = 31.14... degrees ≈ 31 degrees
What is the area of this triangle
Answer:
17.5 units
Step-by-step explanation:
im not good at explaining sorry
What is the slope of the line?
Answer:
1/2
slope = Δy/Δx
start at (-1,3) to get to the line from there you can go down 1 ( Δy = -1)
and left 2 (Δx = -2)
-1/-2 = 1/2
Step-by-step explanation:
The president of the math club is conducting a survey to see where the 12th grade class wants to go to their field trip. Instead of asking the whole class, she surveys only the 12th grade members of the math club. She records the choices and plans to present the results to the school principal. what kind of sampling did she use?
Convenience sampling.
Evaluate Sigma 5 n=1 3(-2)^n-1
Answer choices
-93
-33
33
93
Answer:
93
Step-by-step explanation:
the answer is 93 no -93 i think so
What is the simplified form of the complex fraction? 2x2+7x+6x2+x−64x2−9x2−5x+6
Answer:
3x - 124
Step-by-step explanation:
kindly find solutions in the picture above
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6
Combine all like terms.
(2x² + 6x² - 64x² - 9x²) + (7x - 5x) + 6
(8x² - 73x²) + 2x + 6
-65x² + 2x + 6
There are no common factors or like-terms to simplify.
So,
The simplified form is -65x² + 2x + 6
Thus,
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
HELP ASAPPP !
select the correct answer from each drop-down menu.
Answer:
3.8; 4
Step-by-step explanation:
In this exercise, you're are required to find the missing values by performing some arithmetic calculations.
For the first part;
Let the missing value be X
Translating the word problem into an algebraic expression, we have;
[tex] X = 2000 * 1.9 * 10^{-6} [/tex]
[tex] X = 3.8 * 10^{-3} [/tex]
For the second part;
Let the missing value be Y.
[tex] 3.8 * 10^{-3} = Y * 9.5 * 10^{-4} [/tex]
[tex] X = \frac {3.8 * 10^{-3}}{9.5 * 10^{-4}} [/tex]
[tex] X = 4 [/tex]
Therefore, the complete sentence would be written as follows;
[tex] 3.8 * 10^{-3} [/tex] is 2000 times greater than [tex] 1.9 * 10^{-6} [/tex]. It is also 4 times greater than [tex] 9.5 * 10^{-4} [/tex]
