Answers
Answer:
x=3
Step-by-step explanation:
Because the shape is a rhombus that means that WZ and XY are parallel
This means we can use the co-interior angles rule to conclude that ∠WZY and ∠XYZ add up to 180°
This means that ∠WZY is 44°
Because the shape in a rhombus ZX and WY are perpendicular
This means that ∠ZRY is a right angle (90°)
Because ZX and WY are perpendicular that means that ∠ZYX is split in half which makes ∠ZYW 68°
Because the angles in a triangle add up to 180°
(10x-8)+68+90=180
(10x-8)+158-158=180-158
10x-8+=22+8
10x/10=30/10
x=3
Related Questions
3x^2-24x+50=0
help i write a test!!!
Answers
Answer:
2.8 i think
Step-by-step explanation:
Find the perimeter of the triangle whose vertices are the following specified points in the plane.
(5,6), (4,1) and (-4,2)
Answers
Answer:
23 units
Step-by-step explanation:
Let the vertices of the triangle be A(5,6), B(4,1) and C(-4,2)
Perimeter of the triangle = AB + AC + BC
AB = √(5-4)²+(6-1)²
AB = √1²+5²
AB = √1+25
AB = √26
For BC where B(4,1) and C(-4,2)
BC = √(4-+4)²+(1-2)²
BC = √8²+1²
BC = √64+1
BC = √65
For AC where A(5,6) and C(-4,2)
AC = √(5+4)²+(6-2)²
AC = √9²+4²
AC = √81+16
AC = √97
Perimeter = √97 + √26 + √65
Perimeter = 9.85+5.09+8.06
Perimeter = 23
Hence the perimeter of the triangle is approx 23 units
fin the value of x inthe figure below
Answers
16x = 17(38)
x= 40.375
Evaluate (x + 2) + 4 when x = 12 . O A. 6 O B. 10 OC. 2 O D. 18
Answers
Answer:
Answer: D. 18
Step-by-step explanation:
SOMEONE HELP ONG ILL GIVE BRAINLY OMM
Answers
Step-by-step explanation:
.....hope it helps
.......thnx
Solve the system of equations using the substitution method. Show all works
y = 5x - 7- 3x - 2y = - 12⠀ ⠀⠀
Answer :[tex] \large \underline{\boxed{\bf{x = 2}}}[/tex][tex] \large \underline{\boxed{\bf{y = 3}}}[/tex]⠀ ⠀⠀
Explanation :⠀ ⠀⠀
Given :y = 5x - 7⠀ ⠀⠀ ⠀ ⠀⠀ - (i)- 3x - 2y = - 12⠀ ⠀⠀ ⠀- (ii)⠀ ⠀⠀
From equation (i), we have :
[tex] \tt : \implies y = 5x - 7[/tex]
⠀ ⠀⠀
By Substituting y = 5x - 7 in equation (ii), we get :
[tex] \tt : \implies - 3x - 2(5x - 7) = - 12[/tex]
[tex] \tt : \implies - 3x - 10x + 14 = - 12[/tex]
[tex] \tt : \implies - 13x = - 12 - 14[/tex]
[tex] \tt : \implies - 13x = - 26[/tex]
[tex] \tt : \implies 13x = 26[/tex]
[tex] \tt : \implies x = \dfrac{26}{13}[/tex]
[tex] \tt : \implies x = 2[/tex]
[tex] \large \underline{\boxed{\bf{x = 2}}}[/tex]
⠀ ⠀⠀
Now, By substituting x = 2 in equation (i), we get :
[tex] \tt : \implies y = 5(2) - 7[/tex]
[tex] \tt : \implies y = 10 - 7[/tex]
[tex] \tt : \implies y = 3[/tex]
[tex] \large \underline{\boxed{\bf{y = 3}}}[/tex]
⠀ ⠀⠀
Hence, solution of given system of equations are :
[tex] \large \underline{\boxed{\bf{x = 2}}}[/tex][tex] \large \underline{\boxed{\bf{y = 3}}}[/tex]
A city has 18 radio stations, including 9 oldies stations.
What is the probability that a randomly chosen radio station in this city is an oldies station?
Write your answer as a fraction or whole number.
Answers
How do i solve for this?
Answers
9514 1404 393
Answer:
97.42 square units
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.
75° = (75°)×(π/180°) radians = (5/12)π radians
Then the area is ...
A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units
__
Equivalently, you can find the area of the circle in the usual way:
A = πr² = π(12.2²) ≈ 467.59465
Then, multiply by the fraction of the circle that is shaded (75°/360°)
sector area = (467.59465)(75/360) = 94.42 . . . square units
1. h-4w when h =17 and w = 2
2. 2i+3v when i = 3 and v = 2
3. j over 2 + u when j = 30 and u =3
4. 24 over k - 3 when k = 8
5. p+q over 3 when p = 11 and q= 22
Answers
17-8= 9
2) 2 x 3+ 3 x 2
6+6= 12
3) 30/2 + 3
15+3= 18
4) 24/8-3
4-3=1
5) 11+12/3
33/3=11
Yo help me pretty please
Answers
Answer:
-6x
Step-by-step explanation:
What is the slope of a line that passes through (2, 77) and (98, 5)
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Your answer
Answers
Answer:
Step-by-step explanation:
slope = (5-77)/(98-2) = -72/96 = -¾
Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is 6º more than three times the other angle.
Answers
Answer:
The two angles are 69° and 21°.
Step-by-step explanation:
Write out the expression:
let x and y be two angles that are complementary and the sum of their measures is 90°
-> x° + y° = 90°
if one angle is 6º more than three times the other angle:
-> x° = 6° +3y°
Plug x = 6+3y into x° + y° = 90°
6° + 3y° + y° = 90°
Solve for y
4y° = 84°
y° = 21°
Plug y into x° + y° = 90°
x° + 21° = 90°
Solve for x°
x° = 90° - 21° = 69°
Which of the following is not one of Euclid’s postulates?
1.) A circle may be described with any given point as its center and any distance as its radius.
2.) All right angles are congruent.
3.) All complementary angles form a right angle.
4.) A straight line may be drawn from any given point to any other.
Answers
Answer:
3.) All complementary angles form a right angle.
hope this helps you :)
"All complementary angles form a right angle" is not Euclid's postulates. Therefore, option C is the correct answer.
We need to identify which of the given option is not one of Euclid’s postulates.
What are Euclid’s postulates?A statement, also known as an axiom, is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived. The whole of Euclidean geometry, for example, is based on five postulates known as Euclid's postulates.
Postulate 1: A straight line may be drawn from any one point to any other point.
Postulate 2:A terminated line can be produced indefinitely.
Postulate 3: A circle can be drawn with any centre and any radius. Postulate 4: All right angles are equal to one another.
From the about options we can draw a conclusion that "All complementary angles form a right angle" is not Euclid's postulates.
Therefore, option C is the correct answer.
To learn more about Euclid's postulates visit:
https://brainly.com/question/14791269.
#SPJ2
At 11:59 PM on December 31 the time square ball in New York city was 735 Feet above the ground one minute later it was 584 feet above ground which of the following gives the rate of change of the ball in feet per second
Answers
Answer:
2.52 ft. per second
Step-by-step explanation:
ill give 18 points!! please help me :))
Answers
Answer:
Step-by-step explanation:
3. 10x + 6 = 8x
8x = 10x + 6
-2x = 6
x = -3
4. y = 8(1) - 5= 8 - 5 = 3
y = 8(2) - 5 = 16 - 5 = 11
y = 8(5) - 5 = 40 - 5 = 35
y = 8(0) - 5 = 0 - 5 = -5
y = 8(-1) - 5 = -8 - 5 = -13
[tex]10x + 6 = 8x[/tex]
[tex]6 = 8x - 10x[/tex]
[tex]6 = - 2x[/tex]
[tex]6 \div - 2 = x[/tex]
[tex] - 3 = x[/tex]
Number 4 :[tex]y = 8x - 5[/tex]
When [tex] x = 1, y = \bold{ 3} [/tex]
[tex]y = (8 \times 1)- 5[/tex]
[tex]y = 8 - 5[/tex]
[tex]y = 3[/tex]
When [tex] x = 2, y = \bold{ 11} [/tex]
[tex]y = (8 \times 2)- 5[/tex]
[tex]y = 16 - 5[/tex]
[tex]y = 11[/tex]
When [tex] x = 5, y = \bold{35} [/tex]
[tex]y = (8 \times 5)- 5[/tex]
[tex]y = 40 - 5[/tex]
[tex]y = 35[/tex]
When [tex] x = 0, y = \bold{-5} [/tex]
[tex]y = (8 \times 0)- 5[/tex]
[tex]y = 0 - 5[/tex]
[tex]y = - 5[/tex]
When [tex] x = -1, y = \bold{-13} [/tex]
[tex]y = (8 \times - 1)- 5[/tex]
[tex]y = - 8 - 5[/tex]
[tex]y = - 13[/tex]
The diameter of a circle is 14km. What is the circles circumference?
Answers
Answer:
Step-by-step explanation:
c=d[tex]\pi[/tex]
c=14x3.14
c=43.96
Question 2 (1 point)
Solve by Substitution. Find the ordered pair
7x – 2y = 1
2y = x - 1
Solution (x,y)
I need help can someone help me please????
Answers
Answer:
on the bottom equation you can subtract 1 from both sides, x = 2y+1 so you substitute that in for x on the other equation, 7(2y+1) - 2y = 1 or 14y + 7 -2y = 1 then 12y = -6 y = -1/2 which you put back into the other equation, 2(-1/2) = x -1 so -1 = x - 1 then x = 0, the answer is (0, -1/2)
next plug in x to your y= equation to get the equation 2(-1)-2=y then solve by multiplying 2by -1 to get -2-2=y then solve and get y=4 so your points are (-1,4)
Linda bought a new rug that cost r dollars. She use a coupon for 20% discount and sales tax of 10%. If there was a shipping fee of $50 that was applied after the discount and tax , Which of the following expressions show the total amount of money that linda paid for the rug
Answers
Olivia does chores every Saturday morning. She spends of her time cleaning her room. Of the remaining of her time, she spends of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?
Answers
Answer:
4/7 of her total time cleaning the kitchen
Step-by-step explanation:
Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]
Let
x = her total time
Room cleaning = 1/3x
Time remaining = 2/3x
Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen.
Kitchen cleaning = 6/7 of 2/3x
= 6/7 * 2/3x
= (6*2)x/(7*3)
= 12/21x
= 4/7x
Olivia spent 4/7 of her total time cleaning the kitchen
What is the Answer?
-4x+35>2
Answers
Answer:
I don't know........................
Answer:
x < 33/4
Step-by-step explanation:
1.) -4x+35 > 2 (Move the constant to the right-hand scale side and change its sign)
-4x > 2 - 35
2.) -4x > 2 - 35 (Calculate the difference)
4x > -33
3.) -4x > -33 (Divide both sides of the inequality by -4 and flip the inequality sign)
x < 33/4
Can anybody help me with this please
Answers
Jan is not correct. The opposite of any number will not always be a positive. This is because the opposite of a positive number is negative and the opposite of a negative number is positive.
Basically, opposite numbers are numbers that are the same distance to 0 on a number line. If we were to have a positive 1, the opposite of that number would be a -1, because that's equally distant from 0 on a number line.
Answer:
Search up the name of the exit ticket and then u get ur answers
Step-by-step explanation:
The mens taxable is income is rs 14280 the state tex instruction tel him to pay 2%on the first rs3000 of his taxable incom 3% on each of the second and third rs 3000 and 4% o the remainder what is the total amount of income tax that he must pay
Answers
Answer:
Rs. 451.2
Step-by-step explanation:
It is given that a men's total taxable income is Rs. 14,280.
He is charged by the state tax for 2% on the first Rs. 3000.
i.e. [tex]$2 \% \times 3000$[/tex]
[tex]$=\frac{2}{100} \times 3000$[/tex]
= Rs. 60
Then he is asked to pay 3% on the second Rs. 3000
i.e. [tex]$3 \% \times 3000$[/tex]
[tex]$=\frac{3}{100} \times 3000$[/tex]
= Rs. 90
Similarly, he pays 3% on the third Rs. 3000
i.e. [tex]$3 \% \times 3000$[/tex]
[tex]$=\frac{3}{100} \times 3000$[/tex]
= Rs. 90
Lastly, he pays 4% on the remaining amount. i.e 14,280 - (3000+3000+3000) = 14,280 - 9000 = Rs. 5280
∴[tex]$4 \% \times 5280 $[/tex]
[tex]$=\frac{4}{100} \times 5280$[/tex]
= Rs. 211.2
Thus the total amount of the income tax the man has to pay is
= 60+90+90+211.2
= Rs. 451.2
What is the factorization of the trinomial below?
3x3 - 18X2 + 24x
Answers
Answer:
75
Step-by-step explanation:
Answer:
3x3 - 18×2 + 24x = 75
Step-by-step explanation:
my mind is my friend
Some help ppplllsssss
Answers
Answer:
the answer is b
Step-by-step explanation:
Side Angle Side
Write the equation for the line that goes through point (12, 15) with slope = −2.
Enter your answer in slope-intercept form.
Complete the equation below
y = _______________
Use x as your variable.
Enter any non-integer values as fractions.
Answers
Answer:
y= -2x +39
Step-by-step explanation:
y= mx+b
m is the slope which is given -2
since we don't know b we can solve the rest using the formula y-y1{ m(x-X1(
y - 15 = -2(x-12)
simplify
y-15= -2x +24
y= -2x + 39
HELP PLS ASAP !!! I NEED HELP PLEASE HELP
Answers
Answer:a
plz give brainliest
Step-by-step explanation:
PLS HELP URGENT!! PLEASEE SIMPLE FRACTIONS question in pic
Answers
Answer:
I think it is 13/15 (0,8666666...) but I am not sure
Answer:
12/15 or if u simplify it then you'll get 4/5
Step-by-step explanation:
3 2/3 multiplied by 5 bc u would need to find an equivalent fraction then 3 2/3 will turn into 55/ 15 and 2 4/5 will be multiplied by 3 and turned into 43/15. After that then u would substract 55/15 by 43/15 and u will end up with 12/15 and if simplified then it would be 4/5
Hurry Please i need in 20 minutes or so
Answers
Answer:
Choice E
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
TRUE or FALSE: The equation 2x + 3y = 32 is not an example of a linear equation in two variables ( I uh need this now-)
Answers
Answer:
False
Step-by-step explanation:
It is a linear equasion because it's in ax+by=c form
PLEASEE HELP THIS IS DUE TODAY
Answers
Answer:
The first one is 360 degrees. The second one is 1080.
Step-by-step explanation:
The sum of the interior angles of a quadrilateral are always 360. If you subtract 90 from 360 to get 270. Multiply 270 by 4 to get 1080.
angles and triangles
Answers
Answer:
x=120
y=60
z=60
Step-by-step explanation: