Plz help me solve for x and y
Answer:
x = 40°
y = 30°
Step-by-step explanation:
Given parallelogram ABCD :
∠A = 3x°∠B = 2y°∠C = 120°∠A = ∠C∠B = ∠D∠A + ∠B = 180°∠B + ∠C = 180°∠A + ∠B + ∠C + ∠D = 360°∠A = ∠C
3x = 120
x = 120 ÷ 3
x = 40°∠B + ∠C = 180°
2y + 120 = 180
2y = 180 - 120
2y = 60
y = 60 ÷ 2
y = 30°Answer:
x = 40°
y = 30°
Step-by-step explanation:
Given the diagram of a parallelogram, where:
∠A = 3x°, ∠B = 2y°, and ∠C = 120°
The given problem also requires us to find the values of x and y.
In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles. In other words, ∠A ≅ ∠C , and ∠B ≅ ∠D.
Solve for x:Hence, we can establish the following equality statement to solve for the value of x:
m∠A = m∠C
3x° = 120°
Divide both sides by 3 to solve for x:
[tex]\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}[/tex]
x = 40°
Therefore, the value of x = 40°.
Solve for y:In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.
In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.
We can establish the following equation to solve for the value of y:
m∠B + m∠C = 180°
2y° + 120° = 180°
Subtract 120° from both sides:
2y° + 120° - 120° = 180° - 120°
2y° = 60°
Divide both sides by 2 to solve for y:
[tex]\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}[/tex]
y = 30°
Therefore, the value of y = 30°.
2.5 gallons of water are poured into 5 equally sized bottles. How much water is in each bottle?
Select all the equations that apply.
Group of answer choices
5÷2.5=?
2.5*?=5
5*?=2.5
2.5÷5=?
The vertices of a triangle are A (-2, 3), B (5, 10), and C (12-4). Find the coordinates of the intersection of the medians.
The intesection of the 2 medians is at __
Answer:
a number
Step-by-step explanation:
not a letter
Work is shown to solve for the system of equations.
Why does the answer for y indicate that the system has no real number solutions.
O The solution does not solve for X first.
O The values for Y are square roots of negative numbers.
O The values for y have square roots.
O The values for Y have a positive and a negative value.
Answer:
B The values for y are square roots of negative numbers.
Answer:
b
Step-by-step explanation:
Jamie went on a vacation with his family. He spent 32.25% of the total cost on the airline tickets, of the total cost on hotels, and 12.75% of the total cost on food. If he spent of the remaining amount on shopping, what percentage of the total cost was spent on shopping?
Answer:
In my opinion he spent 55%
At what values of x, does f(x) = 0?
A. 2
B. 8
C. -4
D. 0
E. -1
F. 4
Answer:
D : 0
Step-by-step explanation:
f(0) = 0
what is 2 2/3×3 1/4 as a fraction form
Answer:
8 2/3
Step-by-step explanation:
2 2/3×3 1/4
Change to improper fractions.
2 2/3=8/3
3 1/4=13/4
8/3x13/4=26/3
=8 2/3
Hope this helps :)
solve pls brainliest
Answer: 1 is none 2=A 3=B 4=C
Step-by-step explanation:
see it in shapes
Answer:
1. none
2. a
3. b
4. c
Step-by-step explanation:
1: This represents the net of a triangular prism, for it has a square in the middle, two triangles, and two other squares/rectangles. However, there is no triangular prism among the three solids, so the answer for this is none.
2: This represents the net of a cone, for it has a circle as the base and a sector that gives the cone it's curved surface. There is one cone among the three solids, and the answer for this one is A.
3: This represents the net of a tetrahedron, for it consists of 4 equilateral triangles and having one of the triangles as its base. Therefore, the answer for this one is B.
4: This represents the net of a square pyramid, composed of a square as the base and 4 triangles surrounding it. There's one square pyramid among the answer choices, so the answer for #4 is C.
if [tex]a_{1}[/tex]=10 and [tex]a_{n}[/tex]=[tex]2a_{n-1}[/tex] then find the value of [tex]a_{5}[/tex]
Answer:
a₅ = 160
Step-by-step explanation:
Using the recursive rule and a₁ = 10 , then
a₂ = 2a₁ = 2 × 10 = 20
a₃ = 2a₂ = 2 × 20 = 40
a₄ = 2a₃ = 2 × 40 = 80
a₅ = 2a₄ = 2 × 80 = 160
PLEASE HELP ME WILL MARK BRAINLIEST THIS IS DUE IN A HOUR
Answer:
There is no Question or no images...
Step-by-step explanation:
HELP I WILL GIVE BRAINLEST
Step-by-step explanation:
smallest value 30° largest value 150°.
Answer:
30, 150
Step-by-step explanation:
sin θ = 1 / 2
sin 30 = 1 / 2
θ = 30
So,
the smallest value of θ is 30.
sin ( 180 - 30 ) = sin 150 = 1 / 2
So,
the larger value of θ = 150.
solve pls brainliest
Answer:
0.43%
5.4
Step-by-step explanation:
To convert 0.0043 to a percentage, multiply the number 0.0043 by 100
0.43%
In decimal form, 540 percent equals
5.4
Jan skips 5 m north, 4 m east, 6 m north, 16 m east, and 4 m north. How far is Jan from where
she started?
help asap!!
Answer:35 m
Step-by-step explanation:
North: 5+6+4. East: 4+16. 15+20
What is the slope of the graph?
Angles on a line add up to 180. So what is x?
Answer:
x=121
Step-by-step explanation:
360_304=56180_115=6565+56=121x=121Answer:
x = 121°
Step-by-step explanation:
180 - 115 = 65°
The angle beside 115° is 65°.
A full circle is 360° so
360 - 304 = 56°
Add the two angles
65 + 56 = 121°
Subtract it to 180° to find the other angle
180 - 121 = 59°
Now subtract again to 180° to find the angle in the other side
180 - 59 = 121°
Help guys I need this right now lol I lose credit
Answer:
Answer Below
Step-by-step explanation:
7: Not congruent; Only one angle and only side is shown for each triangle
8: ASA; Two angles shown with a side put in-between
9: SSS; Should be self-explanatory (only sides are shown)
10: ASA; Angles with side shoved between
11: Not Congruent; Triangles are separated and only one side are shown
12: Not Congruent; Angles said to be congruent are on different angles
What is 52 divided by 2? please help meeeee
A. 16 B. 26 C. 27 D. 36
Answer:
D. 26
Step-by-step explanation:
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╲┃╯┃┗┻┻┛┗┻┻┻┻╮╲
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Brainliest?
what's the power. ......
Answer:
Rate of DOING WORK is called power
Graph: f(x) = 4 to the power of 4
Answer:
how am I supposed to graph?
Step-by-step explanation:
Lucy deposits $200 into an account that pays simple interest at a rate of 3% per year. How much Interest will she be paid in the first 3 years?
Answer:
$16.48
Step-by-step explanation:
Split this up into the four years.
For the first year, multiply 200 x .02 to get 4
Add 4 onto your total. ($204.00)
For the second year multiply 204 x .02 to get 4.08
Add 4.08 onto your total. ($208.08)
For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16
Add 4.16 onto your total ($212.24)
For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24
Add 4.24 onto your total (216.48)
Now subtract 200 from your total
216.48-200 = 16.48
She will be payed $16.48 in interest.
PLEASE ANSWER THIS ASAP THE ONES I GOT WRONG PLEASE TELL ME THE RIGHT ANSWER
Answer:
for line b - the slope is 0, not undefined. an undefined slope is a vertical line.
for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.
Does anybody like anime ??
Parallel lines m and n are cut by the transversal line t prove <1 and <4 are supplementary move options to the boxes to complete the proof
Use the distributive property to write an expression that is equivalent to 8 + 24x
Answer:
8(3x + 1)
Step-by-step explanation:
8 and 24 are multiples of 8
(8/8) + (24x/8) = 1 + 3x
The equation with distributive property is 8(1 + 3x)
-Chetan K
Suppose that Nectaria also has 6 chickens. Her neighbor gives her 40 feet of fencing. She must still cut the fencing in lengths that are whole numbers.
What equation can Nectaria write that would allow her to figure out possible dimensions for her chicken pen? Which dimensions would maximize the area of her pen?
EXPLAIN in complete sentences how Nectaria can figure out the possible dimensions for her chicken pen and which dimensions would maximize the area for her chickens.
Answer:
Max area = 100
10 10 sides
Step-by-step explanation:
here given perimeter for fencing is 40 feet
for it to have maximum area sides
sides length is perimeter / 4
so l = 40/4 = 10
so it is 10 × 10 square
Area = 100
This is the maximum area
2. A number 'a' is equal to the square of the number 'b' plus three times the
number'c
o Write a formula for 'a'
Answer:
a = b² + 3c
Step-by-step explanation:
The square of the number b is b² and 3 times c is 3c , then
a = b² + 3c
Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10
Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
Option → B
Add the following fractions answer in lowest terms.
1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=
please give me Right answers please.
Answer:
1) 9/10 + 4/5 + 5/6 = 2 8/15
2) 14/15 + 2/9 + 1/5 = 1 16/45
==============================================
Solution:
[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]
Khloe invests money in an account paying a simple interest of 7% per year. If she
invests $140 and no money will be added or removed from the investment, how much
will she have in one year, in dollars and cents?
Answer: $149.8
Step-by-step explanation:
Find the 1% of the 140 which is 1.4 because 140/100 = 1.4
Times by 7 to get 7%. 1.4 x 7 = 9.8
Add them together. 140+9.8 = 149.8
A family needs to build fencing around their rectangular home and square swimming pool, depicted below
Answer:
160
Step-by-step explanation: