ABCD is a parallelogram. Which statements are true?
Answer:
Final Answer: Statements 1, 2 and 4 are correct.
Step-by-step explanation:
Finding value of y:
2y + 3 = 15 => 2y = 12 => y = 6;
Finding value of x:
6x + 5 = 77 => 6x = 72 => x = 12;
Statement Number 1:
y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?
Yes, 36 is bigger than 24, therefore statement one is correct.
Statement 2:
x = 2y ? => 12 = 2 * 6? => 12 = 12?
Yes, 12 is equal to 12. Statement 2 is correct.
Statement 3:
x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?
No, 14 is not equal to 16. Statement 3 is incorrect.
Statement 4:
y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?
Yes, 10 is bigger than 8. Statement 4 is correct.
If this helped you please rate
Final Answer: Statements 1, 2 and 4 are correct.
You have 143 toy farm animals.
Round that number to the nearest ten.
Find the length of the third side. If necessary, write in simplest radical form.
10
5
Answer:
x= [tex]5\sqrt{5}[/tex]
Step-by-step explanation:
To solve this problem we first observe the Pythagoras equation. If a= 10 and b =5 are the lengths of the legs of a right triangle and c= x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
This relationship is represented by the formula:
[tex]a^{2} + b^{2} = c^{2}[/tex] =>[tex]10^2 +5 ^2 = x^2[/tex]
=> 100 + 25 = [tex]x^2[/tex]
=> [tex]\sqrt{125}[/tex] = x => [tex]\sqrt{25} \sqrt{5}[/tex] = x
=> x= 5[tex]\sqrt{5}[/tex]
The measure of arc CD is 175°. Determine the measure of DBC.
1) 350 2) 87.5 3) 5 4) 175
Answer:
∠ DBC = 87.5°
Step-by-step explanation:
The inscribed angle DBC is half the measure of its intercepted arc, then
∠ DBC = [tex]\frac{1}{2}[/tex] CD = 0.5 × 175° = 87.5°
Select the correct answer.
Which statement is true about this equation?
-9(x+ 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB.
The equation has one solution, x= 0.
O C.
The equation has no solution.
OD. The equation has infinitely many solutions.
There are 65 children in the sixth grade.
The ratio of boys to girls is 6 to 7.
How many girls are in the class?
FAST RESPONSE PLEASE!!!
Answer:
25 girls
Step-by-step explanation:
What is the y-intercept of the line y=4x-3?
Use the terms free fall, gravitational acceleration, air resistance and
terminal velocity to explain:
1. why whether a wing suit pilot is in free fall or not, and
2. how a parachute allows him/her to land on the ground safely.
Write a few sentences here:
Answer:
1. A wingsuit pilot is not in freefall.
2. The parachute increases air resistance, decreasing the pilot's acceleration, thus decreasing terminal velocity and allowing the pilot to land safely.
Step-by-step explanation:
1. An object is in freefall when the only force acting on it is the force of gravity. An object does not necessarily need to moving at a certain speed to be in freefall. Because the wingsuit pilot's wingsuit creates a heavy amount of air resistance, the force of gravity is not the only force acting on the object. Therefore, the object is not in freefall.
2. By increasing the surface area or cross-section perpendicular to the force of gravity, the parachute creates a heavy amount of air resistance. Since air resistance acts opposite in direction to the force of gravity, the pilot will have a lower terminal velocity and will reach the ground at a dramatically lower speed, thus allowing them to land safely.
what is the x for this problem??
Answer:
Let's just find the value of the unknown degree next to 35 degrees.
180 - 35 = 145 degrees
Since 145 degrees is the unknown degree next to 35 degrees, it is vertical to the x it will be the same therefore your answer is 145 degrees.
How do I solve this?
13x + 3x + 2x = 180°
=> 18x = 180°
=> x = 180°/18
=> x = 10°
Ec is a diameter solve for x well i really dont know
click on the picture to see my question please and thanks
Find the measure of the are or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.
(I need help solving because I don’t understand please go step by step for this equation#1)
9514 1404 393
Answer:
?° = 153°
Step-by-step explanation:
The measure of an arc is the same as the measure of the central angle it subtends. The arc is marked 153°. The central angle (?°) has that same measure.
?° = 153°
ILL GIVE BRAINLIEST ASAP AND PLEASE DONT PUT A LINK!!!
Answer:
A
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
the graph shows that it's greater than or equal to and the arrow going up represents at least 50
Jordan can solve 12 math problems in 3 minutes. How long will it take him to solve 45 problems?
Answer:
11 1/4 minutes or 11 min, 15 sec
Step-by-step explanation:
12/3 = 45/t
cross-multiply:
12t = 135
t = 11 1/4
Answer:
you will get 11.25
Step-by-step explanation:
12, 3 minutes
1,3 divide by 12
45,0.25 multiply 45
Five students are competing in a spelling bee for first second, and third places. How many different outcomes are possible?
Answer:
625
Step-by-step explanation:
This is a reoccurring permutation
so it is 5^3
i dont understand
help please!!!
Why are these two figures simaliar
Answer:
Se parecen porque son proporcionales.
Step-by-step explanation:
Si le das vuelta a la figura pequeña de manera que quede en forma horizontal, la figura es la misma, solo cambia el tamaño.
Parallelogram CDEF is formed inside of rectangle AEBC to create triangle ADC and triangle EBF as shown in the model below.
How much greater is the area of parallelogram CDEF than the area of triangle EBF in square centimeters?
The areas of the parallelogram CDEF and triangle EBF can be calculated
from which the difference between the areas can be found.
Response:
The amount by which the area of parallelogram CDEF is greater than the area of triangle BF is C. 493.5 cm².Which methods can be used to evaluate the areas of the regular shapes?Area of the parallelogram CDEF = CF × EB
Which gives;
Area of the parallelogram CDEF, A = 29 cm × 21 cm = 609 cm²
Area of triangle EBF = [tex]\mathbf{\frac{1}{2}}[/tex] × BF × EB
Which gives;
Area of triangle EBF, [tex]A_{EBF}[/tex] = [tex]\frac{1}{2}[/tex] × 11 cm × 21 cm = 115.5 cm²
The difference in area, ΔA = A - [tex]\mathbf{A_{EBF}}[/tex]
Which gives;
ΔA = 609 cm² - 115.5 cm² = 493.5 cm²
The area of parallelogram CDEF is 493.5 cm² greater than the area of triangle BFThe correct option is C. 493.5 cm²Learn more about the area of regular shapes here:
https://brainly.com/question/10572314
Danielle paid $5.57 for a fruit drink. She now has $27.53. How much money did she have before buying the fruit drink?
Answer:
$33.10
Step-by-step explanation:
PLEASE HELP!!! I’ll give brainlest
Find the measures of the numbered angles in each rhombus
Answer:
angle 1 is 120
and I think angle 2 and 3 are 60
13.El alquiler de un coche cuesta 20 € al día, más 0'50 € por kilómetro recorrido. Halla la ecuación que calcula lo que se cobra diariamente por el alquiler del coche en función de los kilómetros recorridos. Representa la función obtenida.
Answer:
La función es: f(x) = 20+0.5x
Step-by-step explanation:
La función que representa la condición sería:
f(x) = 20+0.5x
Donde:
20 € es el costo por díax es la cantidad de kilómetrosf(x) cobro por dia en función de los kilómetrosEspero te haya servido!
What is the value of x?
O 14
15
ООО
16
110
110
17
700
Answer:
⏩14°
Step-by-step explanation:
As we can see the opposite sides are equal and the opposite angles are equal so it is a parallelogram. Hence
5x = 70° { opposite angles of a parallelogram are equal }
x = 14°
Hope it will help :)⏩❤
The value of x in the given figure is 14, Option A is correct.
We need to find the value of x in the given figure.
The opposite angles in the given figure are equal.
So when we equate both the angles we get an equation
5x=70
Divide both sides by 5
x=70/5
x=14
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
Find the value of x. (Type an integer or decimal.)
Answer:
70
Step-by-step explanation:
An angle formed by 2 tangent lines is equal to one half the measure of the major arc minus the measure of the minor arc.
we are given the minor arc ( 110 ) however we are not given the major arc.
Because circles make a 360 degree rotation we can find the major arc by subtracting the measure of the minor arc from 360
Thus, major arc = 360 - 110 = 250
Now that we have identified the major and minor arc we can find x
Recall that x = 1/2 ( major arc - minor arc )
Thus, x = 1/2 ( 250 - 110 )
250 - 110 = 140
140 / 2 = 70
Hence, x = 70
Consider a circle centered at C(0,0). If the point P(3,5) lies on the circle, then which of the following points also lies on the circle?
A. (-2,6)
B. (6,-[tex]\sqrt{5}[/tex])
C. (1,[tex]\sqrt{33}[/tex])
D. (-2[tex]\sqrt{2}[/tex],4)
Answer:
C
Step-by-step explanation:
First find the equation of the circle
the general formula for a circle (x-h)² + (y-k)² = r² where (h=0, k=0) are the coordinates of the center and r is the radius that we do not know
the distance between the center (0, 0) and the point (3,5) is the radius
distance formula d² = (x2-x1)² +(y2-y1)² where (x1=0,y1=0) and (x2=3, y2=5)
d² = (3-0)² + (5-0)² = 3² +5² = 9+ 25 = 34 =r²
(x-0)² + (y-0)² = 34 ; x²+y² =34 is the equation of the circle
Second check if any of the points are on the circle by substituting x and y with de given coordinates.
A. for (-2, 6) we have (-2)²+6² =34 so 4+36 =34 false
B. for (6, -√5) we have 6²+(-√5)² =34 so 36+5=34 false
C. for (1, √33) we have 1²+(√33)² =34 so 1+33 =34 true
D. for (-2√2, 4) we have (-2√2)²+4² =34 so 8+16=34 false
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Answer:
p=18
Step-by-step explanation:
It is 18 because 5 times 18 will equal 90 and 90 +54 is 144
Answer:
it is b
Step-by-step explanation:
Playing with toy alphabet blocks, Dani mixes four of the ABCDE blocks into some combination (doesn't care about the order.) Then she takes the XYZ blocks and carefully puts these into a specific order. How many different outcomes are possible for this arrangement of seven blocks?
Answer:
The total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!
Step-by-step explanation:
Given
Out of five blocks i.e ABCDE, four blocks need to be drawn.
Hence the possible ways of drawing four blocks out of total set of 5 blocks is
5C4
Now, the total number of ways of arranging these selected four blocks is 4!
The total number of ways of arranging three blocks is 3!
Hence, the total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!
PLS IS NEEDED PLS HELP!!
Answer: 19°
Step-by-step explanation: 90+71= 161
180-161= 19
(correct me if i’m wrong):)
2.4x-9.1x+12.5x=39.44
x=
Answer:
x = 6.8
Step-by-step explanation:
2.4x - 9.1x + 12.5x = 39.44
5.8x = 39.44
x = 6.8
The population of Springville was 3543 when Oliver was born.
If the population increases at a rate of 2.7% per year, which equation could be used to determine when the population will be 4125, where x
is the number of years after Oliver was born?
A-3543 = 4125(0.027)*
B. 3543 = 4125(1.027)
O C. 4125 = 3543(0.027)"
D. 4125 = 3543(1.027)*