Answers
Answer:
1) 128°
2) 126°
3) 108°
Question one:The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.
38 + 90 + (180-x) = 180
38 + 90 + 180 - x = 180
38 + 90 + 180 - 180 - x = 0
38 + 90 + 180 - 180 = x
128 = x
Question two:
again, adding all the interior angles makes 180°. use this to make the equation.
3x + (5x-6) + 90 = 180
3x + 5x - 6 = 90
8x = 96
x = 12.
x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,
180 - (5x-6) = the answer
180 - 5x + 6 = the answer
substitute x for 12
180 - 60 + 6 = the answer
126 = x
Question three
again, adding all the interior angles together makes 180°.
(a + 10) + 44 + (180-2a) = 180
a + 10 + 44 + 180 - 2a = 180
-a + 234 = 180
234 - 180 = a
54 = a
however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.
x = 108
Related Questions
A box has four cards numbered 1 to 3 and four Hong will toss a coin wants and record the toss as heads or tails then he will randomly pick a card from the box and record the number chosen give the sample space describing all possible outcomes then give all of the outcomes for the event that the number chosen is three use the format H1 to mean that the coin tosses heads in the number chosen is one if there is more than one element in the set separate them with commas
Answers
Answer:
Sample Space = {H1, H2, H3, Hfour, T1, T2, T3, Tfour}
O(Card 3 Chosen) = {H3, T3}
Step-by-step explanation:
A sample space is the set containing all the possible outcomes or results that can occur during an event. In this case the sample space will contain 8 outcomes, and it will be as follows:
Sample Space = {H1, H2, H3, Hfour, T1, T2, T3, Tfour}
Now, it is clear from the sample space that there are total two outcomes in sample space, in which the card numbered 3 is chosen. They are:
O(Card 3 Chosen) = {H3, T3}
where, O represents Outcomes.
Problem: In good weather, tomato seeds can grow into plants and bear ripe fruit in as few as 19 weeks. Lorna planted her seeds 11 weeks ago. How long must she wait before her tomatoes are ready to be picked?
Solution: The variable in question is the number of weeks until the tomatoes are ready. Call this variable w.
Answers
Answer:
the answer is w=19-11=8
Step-by-step explanation:
19-11=8
In the worst storm in Sunnyville history, 6 inches of rain fell in 8 hours. What was the amount of rainfall per hour?
Answers
Answer:
0.75 cm of rain per hour
Step-by-step explanation:
I know if the cm part made sense but okay
Answer:
0.75 cm of rain per hour
Step-by-step explanation:
i know its right-
Christina took a total of 10 quizzes over the course of 5 weeks. How many weeks of school
will Christina have to attend this quarter before she will have taken a total of 18 quizzes?
Assume the relationship is directly proportional.
weeks
Submit
Work it out
Answers
Answer:
9 weeks
Step-by-step explanation:
If she took 10 quizzes over the span of 5 weeks, then she took 2 quizzes per week.
This is because:
10 quizzes ÷ 5 weeks = 2 quizzes
We can use this information to solve for 18 quizzes by setting up the equation the same way
If she takes 2 quizzes every week, and ends with 18 finished quizzes, how many total weeks did it take her ?
Variable x = total weeks
18 quizzes ÷ x weeks = 2 quizzes
With division, we can switch x weeks and 2 quizzes
18 quizzes ÷ 2 quizzes = x weeks
18 ÷ 2 = 9
9 weeks
Which graph represents the function y = 2/3x-2
Answers
Answer:
3rd one from the left.
It had the proper slope and when x = 0, y = -2
PlEASE HWLP MEEEE
Solve all three problems and make sure you show your work.
2x/3+5=12
4(x-2) + 8 = 32
2 + 3x – 4 = x + 6
Answers
Answer:
1. 15.5
2. 8
3. 4
Step-by-step explanation:
1. 2x/3+5=12
2x+5=36
2x=31
x=15.5
2. 4(x-2)+8=32
4x-8+8=32
4x=32
x=8
3. 2+3x-4=x+6
2+2x-4=6
2x=8
x=4
solve this dont post irrelavent answers
Answers
Answer:
a=3
Step-by-step explanation:
p(x)=x^2-x-6 and f(x)=x^2+3x-18
they have a common factor x=a
so, when they are devided by x-a leave 0 as the remainder ( by remainder theorem)
p(a) =0
f(a)=0
SO, p(a) =f(a)
a^2-a-6=a^2+3a-18
a^2-a^-a-3a= -18+6
-4a= - 12
a=3
What makes -36 in multiplication?
Answers
Answer:
Basically the factors of 36 but one number will be negative.
Step-by-step explanation:
negative number x positive number = negative number
-1 x 36 = -36
-2 x 18 = -36
-3 x 12 = -36
-4 x 9 = -36
-6 x 6 = -36
-9 x 4 = -36
-12 x 3 = -36
-18 x 2 = -36
Hope this helps :)
The presence value of a negative sign in the multiplication operation contributes to the final result being -36.
In multiplication, the value -36 can be obtained by multiplying a positive number by a negative number or by multiplying two negative numbers.
For example:
-36 = (-1) × 36
This means that multiplying -1 by 36 gives us -36.
Similarly:
-36 = 6 × (-6)
Here, multiplying 6 by -6 also results in -36.
To know more about value here
https://brainly.com/question/30145972
#SPJ6
Write the portion represented in this picture as a fraction.
Answers
Answer:
1/8
Step-by-step explanation:
Larry pays 20.69 for 4 cases of soda an 3 bags of chip
Answers
What is the quotient of 4.29 x 10^5 and 9.75 x 10^2 expressed in scientific notation?
Answers
The quotient by dividing the given numbers is required.
The quotient is 0.44 x 10³.
DivisionThe given numbers are
4.29 x 10⁵
9.75 x 10²
Let us make the numbers into whole numbers
4.29 x 10² x 10³ = 429 x 10³
9.75 x 10² = 975
So,
(429 x 10³) ÷ 975 = (39 x 11 x 10³) ÷ (39 x 25)
= (11/25) x 10³
= 0.44 x 10³
Learn more about division:
https://brainly.com/question/1622425
Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages in the book?
Answers
Answer:
it would be first one, 150/600
Step-the by-step explanation:
Why, because 25% of 600 is 150
Answer:
first option
Step-by-step explanation:
Find the sum of 2mn and 9mn
Answers
Answer: 11mm
Step-by-step explanation:
Answer:
11mm
Step-by-step explanation:
(02.01 LC)
What is the solution for the equation 6x - 8 = 4x? x = _. (Input whole number only).
Answers
Answer:
4
Step-by-step explanation:
start by subtracting 6x from 4x. that is -2x. then you have -8=-2x. divide the -2 out of the -2x from the -8. then you have 4=x
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. For each question, explain or show reasoning.
1. How many milliliters are in 3 gallons?
2. How many milliliters are in 1 quart?
(Note) Please keep reasonings simple
Answers
Answer:
There are 11,355 milliliters in 3 gallons, and 946.25 milliliters in 1 quart.
Step-by-step explanation:
If there are 3,785 milliliters in 1 gallon, multiply each side by 3 because you want the product to equal 3 gallons.3,785 times 3 is equal to 11,355, and 1 times 3 is 3. So, 3 gallons are equal to 11,355 milliliters. If there are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon, that means that there are 3,785 milliliters in 4 quarts. Now, you want to find the amount of milliliters in 1 quart so you should divide both the 3,785 and the 4 by 4. So, there are 946.25 milliliters in 1 quart.
i need help with 8th grade math problems
Answers
Answer:
ill help you what is it
Step-by-step explanation:
What is the slope of the line that passes through the points (8, 4) and (20, -4) ?
Answers
Answer:
m = -2/3
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (-4-4)/(20-8)
m = -8/12
m = -2/3
Helppppppppp quickkkkkkk
Answers
Answer:
False
Step-by-step explanation:
You are at a football game. You decide to buy a hamburger for each of your
5 friends at the game. You also bought a soda for yourself for $4. You spent
a total of $21.50. How much do the hamburgers cost? WHICH EQUATION
FITS THIS SCENARIO?
4x + 5 = 21.50
21.50x + 5 = 4
5x - 4 = 21.50
5x + 4 = 21.50
Answers
Answer:
4x+5=21.50
Step-by-step explanation:
Answer:
5x-4=$21.50
Step-by-step explanation:
Hope that this helps!
17y + 31 = 167
solve for y
Answers
Answer:
Y=8
Step-by-step explanation:
Solve for x
0.5x + 78.2 = 287
Answers
Answer:
x = 417.6
287 = 78.2 + .5x
208.8 = .5x
x = 417.6
Hope this helps
Answer:
0.5x + 78.2 = 287
0.5x = 287 - 78.2
0.5x = 208.8
0.5x ÷ 0.5 = 208.8 ÷ 0.5
x = 417.6
I need help ASAP pls
Answers
Please press like button
please help. im bad at math.
Find the exact value of the following.
-3(1.2) ^2 =
Answers
What is the sign of the product (3)(−25)(7)(−24)? (5 points) Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative
Answers
Answer:
i actually dont know im sorry
To find the value of the following expression, which task should be completed first?
7 1/4 × 22 + (8 1/2 - 2) ÷ 3
Answers
Answer:
Paranthesis
Step-by-step explanation:
Remember: PEMDAS!!!
P: Paranthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
Paranthesis always comes first in the PEMDAS rule, so if an equation includes paranthesis, solve the paranthesis first!!!
Which number sentence shows the multiplication property of zero?
A. 0 + 0 = 0
B. 1 × 8 = 8
C. 12 + 0 = 12
D. 18 × 0 = 0
Answers
Answer:
D..........................
A pair of perpendicular lines intersect at the point (5,9). Write
the equation of the line that is perpendicular to the line that
also passes through the point (-4,4)
Answers
Answer:
The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18
Step-by-step explanation:
The coordinates of the point of intersection of the two lines = (5, 9)
The coordinates of a point on one of the two lines, line 1 = (-4, 4)
The slope of a line perpendicular to another line with slope, m = -1/m
Therefore, we have;
The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9
Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5
The equation of the line 2 is given as follows;
y - 9 = -9/5×(x - 5)
y - 9 = -9·x/5 + 9
y = -9·x/5 + 9 + 9
y = -9·x/5 + 18
Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.
Jenna feeds her cat twice a day. She gives her cat 3/4 can of cat food each time. Jenna is having a friend take care of her cat for 5 days. To prepare, she bought 8 cans of cat food. Did Jenna buy enough cat food? If so, how much? If not, how much did she have?
Answers
Given:
Number of times Jenna feeds her cat = 2
Cat food each time [tex]=\dfrac{3}{4}\text{ can}[/tex]
Number of days = 5
Number of cans she bought = 8
To find:
Did Jenna buy enough cat food.
Solution:
Required food for each time [tex]=\dfrac{3}{4}\text{ can}[/tex]
Jenna feeds her cat twice a day.
Required food for a day [tex]=2\times \dfrac{3}{4}\text{ can}[/tex]
[tex]=\dfrac{3}{2}\text{ can}[/tex]
Required food for 5 days [tex]=5\times \dfrac{3}{2}\text{ can}[/tex]
[tex]=\dfrac{15}{2}\text{ can}[/tex]
[tex]=7.5\text{ can}[/tex]
Since, 7.5 cans < 8 cans, therefore, Jenna buy enough cat food for her cat.
12 divided by 3/ 4 !
Answers
Answer:
16
Step-by-step explanation:
The ratio of Eric's red shoes to blue shoes is 3:4. If Eric has 12 red shoes, how many blue shoes does he have?
Answers
Answer:
16
Step-by-step explanation:
red: blue
3 4
There are 12 red shoes
12/3 = 4
Multiply each side by 4
red: blue
3*4 4*4
12 16
There are 16 blue shoes