Answer:
116
Step-by-step explanation:
116 is parallel to y so that are the same its called corresponding angles
When a transversal cuts two parallel lines, the corresponding angles are equal.
In the given figure, the corresponding angles are 116° and y
So, they are equal
⇒ y = 116°
A woman invested 4 times much at 4% as she did at 9%. The total amount of interest she earns in 1 year from both accounts is $500. How much did she invest at each rate?
Answer:
$2,000 at 9%
$8,000 at 4%
Step-by-step explanation:
(4x * .04) + (x * .09) = 500
.16x + .09x
.25x = 500
x = $2,000 at 9%
4x = $8,000 at 4%
Answer:
2000 at 9%
8000 at 4%
Step-by-step explanation:
Let the principle at 9% = x
The principle at 4% = 4*x
Together they give 500 dollars.
9% = .09
4% = ,04
Both are invested for 1 year
0.09 * 1 * x + 0.04 * 1 * 4x = 500
0.09x + 0.16x = 500
0.25x = 500
x = 500 / 0.25
x = 2000
She invested 2000 at 9%
She invested 4 * 2000 at 4%
Please help me, I don’t understand how I keep getting it wrong!
9514 1404 393
Answer:
1.2 t/m³
Step-by-step explanation:
1 tonne is 1 Mg = 10⁶ g
1 m³ is (100 cm)³ = 10⁶ cm³
The conversion is ...
(1.2 g/cm³) · (1 t)/(10⁶ g) · (10⁶ cm³)/(1 m³)
= 1.2(10⁶)/(10⁶) t/m³
= 1.2 t/m³
__
For this conversion, the numerical value does not change. Megagrams per cubic meter is the same ratio as grams per cubic centimeter.
Write as an equation in two variables: k(x) = -4x-1
Answer:
y = -4x - 1
Step-by-step explanation:
k(x) = -4x - 1
replace k(x) with y
y = -4x - 1
Answer:
y = -4x - 1
Step-by-step explanation:
plzz help i only have like 5 minssssss
What is the volume of this rectangular prism if an edge of each cube is 1 cm?
Answer:
your answer is D. 24 cubic cm
Step-by-step explanation:
your welcome good day :)
What is the 100th term of the sequence with a1=222 and d=-5
Answer:
--273
Step-by-step explanation:
100th term is equal a1 + 99d so
100th term = 222 + (-5×99) = -273
find two consecutive whole numbers
Answer:
9 and 10
Step-by-step explanation:
square root of 86 is 9.2 (ish)
Analyze the diagram below and complete the instructions that follow.
3
3
4
45°
h
x
Find the value of x and the value of y.
A X= 4, y = 8
B. x = 7, y = 42
C. x = 413, y = 7/2
D. -73.7=42
Answer:
B) x = 7, y = 4√2
Step-by-step explanation:
Drop a line from the upper left vertex
This creates a rectangle with a bottom side of 3
and an isosceles right triangle with legs of 4
Therefor
x = 4 + 3
x = 7
y = √(4² + 4²)
y = 4√2
The values of x and y from figure are 7 and 4√2 respectively, option B is correct.
When we analyze the diagram, there is a right angle triangle with opposite side of 4 units.
We have to find the values of x and y.
Sine function is a ratio of opposite side and hypotenuse.
sin45=4/y
1/√2 = 4/y
Apply cross multiplication:
y=4√2.
Now let us find the value of x by cosine function.
Cosine is a ratio of adjacent side and hypotenuse.
cos 45 =x/y
1/√2 = x/4√2
Apply cross multiplication:
x=4
Now from diagram x=4+3 =7
Hence, the values of x and y from figure are 7 and 4√2 respectively.
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after reading the directions to paint,on the paint drum, the information indicated two coats of paints is required when using the 5 liter paint and one coat with the 20 liter drum. With both paints 1 litre of paint covers 9 meter squared.
There are 28 rooms to be painted.Show with calculations which will be cheaper paint to buy
The vertices of quadrilateral DEFG are D(-2, 6), E(-4, 6), F(-6, 9), and G(-1, 9). Find the coordinates of the image of quadrilateral DEFG after a translation using the rule (x, y) → (x + 1, y - 6), a reflection over the x-axis, and a reflection over the y-axis
Answer:
the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)
Step-by-step explanation:
after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)
after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)
after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)
Given: m∠ELG = 124°
Prove: x = 28
3 lines are shown. A line with points D, L, G intersects a line with points E, L, H at point L. Another line extends from point L to point F between angle E L G. Angle D L E is (2 x) degrees.
Complete the steps in the two-column proof.
♣:
♦:
Answer:
clover
Step-by-step explanation:
because
The measure of angle ∠x = 28°.
We have a geometrical figure [Refer to the image attached in the end].
We have to prove that x = 28°.
What is the measure of a Straight angle.The measure of straight angle is 180°.
According to the question -
Line DLG is a Straight line. Therefore -
2∠x + 124° = 180°
2∠x = 56°
∠x = 28°
Hence Proved.
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The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water is the pool?
Answer:
The height of the water increases 2 inches per minute. Or A
Step-by-step explanation:
Edge
Answer: A ( The height of the water increases 2 inches per minute)
The equation SA = 6s can be used to calculate the surface area, SA, of a cube with side length S. What is the
surface area, in square meters, of a cube with a side length of 0.5 meter?
Which of these is an example of typing at a rate of 42 words per minute?
A typing 21 words in 2 minutes
B typing 84 words in 3 minutes
C typing 210 words in 5 minutes
D
typing 400 words in 10 minutes
Please help. I am very confused about this problem.
jzgsgßiqhwgwgah I don't know
Answers:
number of sides = 15regular polygon name = regular 15-gon=======================================================
Explanation:
If 156 degrees is the interior angle measure, then 180-156 = 24 is the exterior angle measure.
Divide 360 over this to find that 360/24 = 15
This means the regular polygon has 15 sides.
I'm using the idea that if n is the number of sides, then 360/n is the exterior angle measure. So 180 - (360/n) is the interior measure.
I am making two kinds of cookies: chocolate chip and lemon cookies.
(a)
Chocolate Chip Cookies
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
I can make
batches of chocolate chip cookies.
You may use the scratchpad to show your work.
(b) Lemon Cookies
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
I can make
batches of lemon cookies.
You may use the scratchpad to show your work
Enter your answer as a fraction
Uhh sorry to bother again I’ve had no motivation haven’t been paying attention so uh yea
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The chocolate cookies is given as:
Number of chocolate cookies = 5.50 cups / 0.25 cup per cookie = 22
The lemon cookies is given as:
Number of lemon cookies = 5.50 cups / 0.75 cup per cookie = 7
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
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19. Which of the following are examples of segments
from the figure?
BCD
D
CA
BAD
DA
AB
BD
Answer:
BCD
Step-by-step explanation:
You can easily find out by the points at the end of line. These points indicate that this is line segment.
Why are (1, 2) and (2, 1) sot equal ordered pairs
Answer:
Step-by-step explanation:
(1,2) and (2,1) are not equal ordered pairs becasue their corresponding elements are not equal.
Two Ordered Pairs are said to be equal if the corresponding first components are equal alongside the corresponding second components are equal.
for example:
(3,1) and (3,1)
here corresponding element of 3 is 3 and of 1 is 1 .so they are called equal ordered pairs.
can someone please help me with this?? please please please help me
Step-by-step explanation:
base is 12, hypotenuse is 20
so X² is h²-b²
so X=16
 can someone pls help for brainlest
Answer:
[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]
Which of the following terms can be combined in this expression?
13 minus x over 5 + 6.2 y + 20.5 x minus 3 over 8 y
Negative 13 can be combined with 20.5.
6.2 y can be combined with 20.5 x.
6.2 y can be combined with Negative 3 over 8 y.
Negative x over 5 can be combined with Negative 3 over 8 y.
Given:
Consider the expression is:
[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]
To find:
The like terms that can be combined in this expression.
Solution:
Two terms are called like terms, if they have same variables of same degree.
We have,
[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]
In the given expression, the pairs of likes terms are:
Pair 1: [tex]-\dfrac{x}{5}[/tex] and [tex]20.5x[/tex]
Pair 2: [tex]6.2y[/tex] and [tex]-\dfrac{3}{8}y[/tex]
It means [tex]-\dfrac{x}{5}[/tex] can be combined with [tex]20.5x[/tex] and [tex]6.2y[/tex] can be combined with [tex]-\dfrac{3}{8}y[/tex].
Therefore, the correct option is C.
PLS ANSWER ASAP PLS DUE AT 9:35
Answer:
your answer is option B
Answer:
Your answer came out to be B.
Twins Isaac and Isaiah were just born. Isaac weighs 666 pounds 222 ounces and Isaiah weighs 555 pounds 444 ounces.
How many ounces do Isaac and Isaiah weigh together
How do you know you're good at sleeping I need help
Answer:
You can do it with your eyes closed
Step-by-step explanation:
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
What is the marginal relative frequency of survey participants who are girls?
0.06
0.5
0.43
17
Using it's concept, it is found that the marginal relative frequency of survey participants who are girls is of 0.43.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that there were 2 + 3 + 5 + 4 + 3 + 8 + 2 + 6 + 4 + 3 = 40 participants, of which 17 are girls, hence the relative frequency is given by:
f = 17/40 = 0.425
Which is rounded to 0.43.
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Find the volume of a regular square pyramid with base edge 10 ft. and height 12 ft.
120 ft
75ft?
400 ft
D 300 ft?
Answer:
V = 400 ft^3
Step-by-step explanation:
The area of the base of this regular square pyramid is (10 ft)^2, or 100 ft^2.
Recalling that the area of a pyramid is V = (1/3)(base area)(height), in this case we get V = (1/3)(100 ft^2)(12 ft) = 400 ft^3
if a/4=2/3, then (a-4)/4 would equal
a. -2/3
b. -1/3
c. 0
d. 1/3
Answer:
b. -1/3
Step-by-step explanation:
a/4=2/3
a=8/3
(a-4)/4
(8-12)/12
=-4/12
=-1/3
Answer:
-1/3
Step-by-step explanation:
a/4=2/3
Multiply each side by 4
a/4 *4=2/3 *4
a = 8/3
(a-4)/4
(8/3 - 4) /4
Getting a common denominator
(8/4 - 12/3) /4
(-4/3)/4
-1/3
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A small plastic ball has a diameter of 8 centimeters. What is the volume of the ball
Given:
Diameter of ball = 8 cm
To find:
The volume of the ball.
Solution:
We know that the radius of sphere is half of is diameter.
It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:
[tex]r=\dfrac{8}{2}[/tex]
[tex]r=4[/tex]
The radius of the ball is 4 cm.
The volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere.
Putting [tex]\pi = 3.14, r=4[/tex] in the above formula, we get
[tex]V=\dfrac{4}{3}(3.14)(4)^3[/tex]
[tex]V=\dfrac{4}{3}(3.14)(64)[/tex]
[tex]V=267.946667[/tex]
[tex]V\approx 267.95[/tex]
Therefore, the volume of the ball is about 267.95.
christian has a collection of 18 shark teeth he has 6 tiger shark what precentage is tiger
Answer:
33.3% I think lpl
Step-by-step explanation: