Answers
Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees
Step-by-step explanation:
Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.
Opposite angles of a paralellogram are equal.
Therefore, x = y = 77 degrees and z = 103 degrees
The measure of the three missing angles in the parallelogram are,
⇒ ∠x = 78
⇒ ∠ y = 78°
⇒ ∠z = 103°
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The parallelogram shown in figure.
We know that;
By Opposite Angles Theorem,
In parallelogram, The two opposite angles of a parallelogram are equal to each other.
Hence, We get;
⇒ ∠z = 103°
⇒ ∠x = ∠y
And, The sum of all angles in a parallelogram is 360°.
Hence, We get;
⇒ ∠x + ∠y + ∠z + 103° = 360
⇒ ∠x + ∠x + 103 + 103 = 360
⇒ 2∠x + 206 = 360
⇒ 2∠x = 360 - 206
⇒ 2 ∠x = 156
⇒ ∠x = 78
And, ∠ y = 78°
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Related Questions
What is the slope and y- intercept for -10x+3y-6=10
Answers
Answer:
Slope = m = 10/3 and y-intercept = (0, 16/3)
Step-by-step explanation:
-10x + 3y - 6 = 10
3y = 10x + 16
y = 10/3x + 16/3
Slope = m = 10/3
y-intercept = (0, 16/3)
The table represents the function f(x).
A 2-column table with 7 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 66, negative 29, negative 10, negative 3, negative 1, 6.
When f(x) = –3, what is x?
–29
–10
–3
–1
Answers
Answer:
-10
Step-by-step explanation:
The required value of x is -1 when f(x) = –3 for the given function. The correct answer is option (D) -1.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The given table represents the function f(x).
x f(x)
-4 -66
-3 -29
-2 -10
-1 -3
0 -1
1 6
We are given a table representing the function f(x) and we need to find the value of x when f(x) = –3.
From the given table, we can see that when x = –1, f(x) = –3. Therefore, the answer is -1.
Hence, the correct option is:
(D) -1
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Geometric Shapes - Part 1
Answers
Answer:
x = 54, so the vertical angles are 110°.
Step-by-step explanation:
[tex]2x + 2 = 3x - 52[/tex]
[tex]2 = x - 52[/tex]
[tex]x = 54[/tex]
[tex]2(54) + 2 = 108 + 2 = 110[/tex]
[tex]3(54) - 52 = 162 - 52 = 110[/tex]
10,000 is invested at 5% interest rate p.a. Find the amount to be paid after 1 year.
Answers
Interest = 500
Step-by-step explanation:
Interest = [tex] \frac{p∗r∗t}{100} \\ [/tex]
p = principal amount , r = rate , t = time
Interest=[tex] \frac{10000 \times 5 \times 1}{100} \\ [/tex]
Interest = 500
Answer:
interest = RS. 500
Step-by-step explanation:
interest= 100/p*r*t
p∗r∗t
p = principal amount , r = rate , t = time
interest= 100/10000∗5∗1
Convert 15.5 inches into centimeters. Express your answer as a decimal rounded to two places
Answers
Answer:
There are 2.54 cm per inch.
15.5 inches * 2.54 cm / 1 inch =
39.37 centimeters
Step-by-step explanation:
-
Which expression is equivalent to 7x2 + 16x – 15?
a. (7x+3)(x - 5)
b. (7x - 5)(x + 3)
C. (7x + 5)(x-3)
d. (7x - 3)(x + 5)
Answers
Step-by-step explanation:
only option (b) will give u 7x^2 + 16x -15
What's the answers????
7.6 x 2.9 = ?
Answers
Answer:
22.04
Step-by-step explanation:
What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
Answers
Answer:
1/20
Step-by-step explanation:
h×b over 2
1/5 × 1/2 over 2
= 1/20
Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.
Let yyy represent Mr. Mole's altitude (in meters) relative to the ground after xxx minutes.
Which of the following could be the graph of the relationship?
Answers
Answer:
[tex]A(t)=-1.8t-4.5[/tex]
Step-by-step explanation:
Mr.Mole's digging can be described by a linear model of general equation:
[tex]A(t)=m*t+c[/tex]
Where "m" is the rate at which he descends. Note that since the function A(t) measure his altitude relative to the ground, the rate "m" must be negative.
[tex](m=-1.8)[/tex]
[tex]A(t)=-1.8*t+c[/tex]
The constant "c" is his starting position. To find this value, assign the given data at t = 5 min to the equation above
[tex]-13.5=-1.8*5+c\\c=-4.5m[/tex]
Therefore, the function A(t) is described by the following formula:
[tex]A(t)=-1.8t-4.5[/tex]
Name the quadrilaterals that have four equal sides.
A: rhombus, square
B: square, rectangle
C: parallelogram, rhombus
D:rhombus,trapezoid
Answers
A researcher is interested in determining if a psychic really has power to predict. The researcher takes four cards, each of a different type: king, queen, jack, and ace. After mixing up the cards many times and he selects one card without showing the psychic. The researcher asks the psychic which card was selected. The researcher records if the psychic was correct or not. The researcher does this two hundred times. If the psychic really has special abilities then he should pick the correct card more often then if it was by chance alone. The researcher is interested in determining if the card was identified correctly significantly more often then chance would suggest. What would be the null and alternative hypothesis for this case
Answers
It can be deduced that the null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.
What is the null hypothesis?It should be noted that null and alternate hypothesis are written based on the population parameter.
From the information given, the claim is that they card was identified significantly more than chance would suggest. The proportion of card selected will be:
= 1/4 = 0.25
Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.
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2n-31=10n-63 please help me
Answers
Answer:
n=4
Step-by-step explanation:
Choose all numbers that are divisible by 3
A 61377
B 87405
C 30898
D 6020
E 29830
F 75932
Answers
Answer:
A 61377
B 87405
Step-by-step explanation:
If sum of the digits of a number is divisible by 3, then that number is also divisible by 3.
Option A:
Given number is: 61377
Sum of the digits = 6+1+3+7+7 = 24
24 is divisible by 3, hence 61377 is also divisible by 3.
Option B:
Given number is: 87405
Sum of the digits = 8+7+4+0+5 = 24
24 is divisible by 3, hence 87405 is also divisible by 3.
Option C:
Given number is: 30898
Sum of the digits = 3+0+8+9+8 = 28
28 is not divisible by 3, hence 30898 is also not divisible by 3.
Similarly, sum of the digits of the numbers in options D, E and F are 8, 22 and 26 respectively, which are not divisible by 3, hence the numbers 6020, 29830 and 75932 are also not divisible by 3.
if x is directly proportional to to y and x= 200 and y=3 find x when y=5
Answers
Answer:
333.33
Step-by-step explanation:
x is directly proportional to y
k=y/x
k=3/200
now,
when y =5
y=kx
5=(3/200)x
1000/3=x
333.33 = x
8) Use the slope formula to find the slope between
the points: (-1,2) and (3,- 3)
m =
Answers
Answer:
-5/4
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( -3 -2)/( 3 - -1)
= ( -3-2 ) /( 3+1)
= -5/4
Answer:
m = -5/4
Step-by-step explanation:
The slope formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\frac{(-3)-(2)}{3-(-1)}[/tex] [tex]\frac{-5}{3+1}[/tex] [tex]\frac{-5}{4}[/tex]Therefore, m = -5/4.
Pre algebra that picture will help
Answers
Answer:
see below
Step-by-step explanation:
Line 2 (the line that is darker in your pic) is wrong because the sign for 8 goes from "+" to "-". It should be +4x-8 in order for it to be correct
help me! it is due tomorrow
Answers
How many 3/4 cup servings are in 10 cups
of juice? Use a model and an equation to
show your work.
Answers
Just draw 13 cups filled to 3/4, and one cup filled 1/12.
Your equation is 10/(3/4) = 13 1/3 cups.
A taxi ride costs $3 plus $2.50 per mile. What is the total cost of a five-mile taxi ride?
Answers
3+(2,50×5)=15,50$. the total cost of a five-mile taxi ride
The diameter of a circle is 635 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
3 3/10
Step-by-step explanation:
proof is in the picture :)
The radius of circle is 3/17 1/2 inhces whose diameter is 635 inch.
We have,
The diameter of circle is 635 inches.
Also, we know that the radius of circle is half of the diameter.
So, r= d/2
Then, the radius of circle is
= 635/ 2
= 317 1/2
Thus, the required radius is 317 1/2 inches.
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What is the slope and y-intercept for 7x+2y-15=13
Answers
Answer:
-3.5 14
Step-by-step explanation:
2y=-7x+28
y=-3.5x+14
Answer:
Y-intercept = (0, 14) and Slope = -7/2
Step-by-step explanation:
7x + 2y - 15 = 13
2y = -7x + 28
y = -7/2x + 14
Slope = -7/2
Y-intercept = (0, 14)
40 facts increased to 56. What is the percent increase?
Answers
Step-by-step explanation:
40 increases to 56.
To find the percent increase:
Subtract the increased value from the original value.
Divide the difference by the original value.
Multiply the quotient by 100 to represent the percent.
Solve:
[tex]56 - 40 = 16[/tex]
[tex]16 \div 40 = 0.4[/tex]
[tex]0.4 \times 100 = 40[/tex]
There's a 40% increase.
Help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The answer to the given questions are b = 54, c = 24, m = 75, y = 33, p =87.
What happens to a number or a variable when it is being moved from one side of the equation to the other side ?It changes it's sign.
We have to form equation for the given questions with a variable and find the value of the variable.
In the first question
There were 45 apples in the barn her dad picked some more apples and put them into it and now the total no. of apples in the barn is 99.
Assuming here dad picked b no. of apples the the equation will be of the form
45 + b = 99
b = 99 - 45
b = 54.
∴ Her dad put 54 apples in the barn.
In the second question
Gran sold 13 clothes in the sell and after that she had 11 clothes left and c is the total no. of clothes
∴ c = 13 + 11
c = 24
So Gran knitted 24 clothes for her school fundraiser.
In the third question
leah's friend gave her 12 dollars for her birthday and after her grandparents gave her some money (m) she had a total of
87 dollars.
∴ 12 + m = 87
m = 87 - 12
m = 75
So her grandparents gave her 75 dollars of money.
In the fourth question
Lorenzo had 96 passing yards before the football game and after that he had 129 yards for the season and y be the no. of passing yards during the football game.
∴ 96 + y = 129
y = 129 - 96
y = 33.
So he made 33 passing yards during the game.
In the fifth question
An artist took 105 art pieces and after he sold some of them which is p he is left with 18 pieces
∴ 105 - p = 18
p = 105 - 18
p = 87
So he sold 87 pieces of art in the fair.
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If sin theta > 0 and tan theta < 0 then:
Answers
Answer:
C) 180° < theta < 270°
Step-by-step explanation:
Hope this helps
Find the area of a trapezium whose parallel sides are 34 cm and 40cm and the distance between them is 20 cm
Answers
Answer:
area of trapezium: 740 cm²
Step-by-step explanation:
[tex]\sf {Area \ of \ trapezium = \frac{1}{2}* (base \ 1 \ + base \ 2) \ * height }[/tex]
Given here:
base 1: 34 cmbase 2: 40 cmheight: 20 cmusing the formula:
[tex]\sf {Area \ of \ trapezium = \frac{1}{2}* (base \ 1 \ + base \ 2) \ * height }[/tex]
solve:
[tex]\sf {\frac{1}{2}* (34 \ + 40) \ * 20}[/tex]
[tex]\sf {\frac{1}{2}* (74) \ * 20}[/tex]
[tex]\sf 74 * 10[/tex]
[tex]\sf 740[/tex]
1. A zoo has 340 animals and then increases the number of animals by 5%. How many animals are at the zoo now?
30 points!
Answers
340 + 5% = 367.5
Answer:
357
Step-by-step explanation:
Multiply: 340*1.05=357
27 is 30% of what number?
Answers
Answer:
im pretty sure that the answer your looking for is 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
STEP 1 27 = 30% × Y
STEP 2 27 = 30/100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:
STEP 3 Y = 27 × 100/30
STEP 4 Y = 27 × 100 ÷ 30
STEP 5 Y = 90
Finally, we have found the value of Y which is 90 and that is our answer.
2a +7= 15 answer please
Answers
Answer:
a = 4
Step-by-step explanation:
2a + 7 = 15
- 7 - 7
2a = 8
/2 /2
a = 4
Hope this helps!
Answer:
a=4
Step-by-step explanation:
We need to find a way to get (a) alone on one side.
first, we will subtract 7 from 15 to get 8.
Next, We will divide 8 by 2. to get 4
your work should look like this.
2a+7=15
2a=15-7
2a=8
a=8/2
a=4
Help me please if you can
Answers
same answers just different way to put them
25 ²²/27
697/27
25.814
8 added to the product of 7 and a number to equal to 12
Answers
Answer:
7n + 8 = 12
Step-by-step explanation:
I believe you're looking for an algebraic equation, but let me know if you need it to be solved! :)
Answer:
92
Step-by-step explanation:
Number equal to 12 is 12 ~ 8 added to the number (addition)
7 * 12 = 84
84 + 8 = 92
