Answers
Answer:
a= 158
b=22
Step-by-step explanation:
First we have to find b in order to find a.
To find b we need to add up the two angles we know the value of and subtract it from 180.
90+68= 158
180-158=22
We know b is 22 because the sum of all angles in a triangle is always 180.
Now that we have b we can find a.
we know that a+b=180 so all we have to do is subtract 22 from 180 to get 158.
Answer:
b is 22° and a is 158°
Step-by-step explanation:
b can be calculated by angle sum property and a can be calculated using exterior angle sun property
Related Questions
A bag of apples weighs 7kg, correct to
the nearest kilogram.
What is the least possible weight of the
bag of apples?
Answers
Which quadratic rule represents the data in the table?
y= -2x2 + 5
y= -x2 + 5
y = x2 - 5
y = x2 + 5
Answers
Answer:
x^2 - 5
Step-by-step explanation:
x = -1, y = 1 - 5 = -4.
x = 0, y = 0-5 = -5.
x = 1, y = 1 - 5 = -4.
I need help with this if you get it right I will mark you
Answers
70+50+x+4x=180
120+5x=180
5x=60
X=12
Solve the equation: 3x - 2/4 = 2x – 8 Explain your reasoning / show work:
Answers
Reduce the fraction
Move terms
Collect like terms and calculate
A die is rolled two times.
What is the probability of getting a 2 on the first roll and a 5 on the second roll?
Answers
Answer:
1/36
Step-by-step explanation:
total are 36 and it's 1
4-(-5)
Integer Rules
Answers
Step-by-step explanation:
4-(-5)
= 4+5
= 9
............
what is the slope of the line passing through the points (2,5) and (-1,-4)? show all work.
Answers
Answer:
3
Step-by-step explanation:
[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{9}{3} = 3[/tex]
How do you use Trigonometric Ratios to solve Real-world problems?
Answers
Answer:
Trigonometry can be used to measure the height of a building or mountains: if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building.
(4a^5-a)+(a^5+6a-1)
Add
Answers
Answer:
Step-by-step explanation:
4a^5 - a + a^5 + 6a - 1
5a^5 + 5a - 1
The positive integers P, Q, R, S and T increase in
order of size such that the value of each
successive integer is more than the
preceding integer and the value of T is 6. The
value of S is :
Answers
9x + 8y = 10
y = -4x + 7
Answers
Answer:
X=2
Step-by-step explanation:
9x+8(-4x+7)=10
9x+(-32x)+56=10
-23x=10-56
-23x=-46
X=-46/-23
so X=2
Consider the system of equations shown in the box.
y = 3x + 1
y = 2x - 4
What is the x-coordinate in the solution of the system?
Answers
Answer:
x = -5
Step-by-step explanation:
3x + 1 = 2x - 4
x + 1 = -4
x = -5
The x-coordinate in the solution of the system is -5.
What are linear equations?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Given the equations y = 3x + 1
y = 2x - 4
comparing both equations for equal values of y,
3x + 1 = 2x - 4
3x - 2x = -4 - 1
x = -5
substitute value of x in equation,
and y = 3x + 1
y = 3(-5) + 1
y = -14
Hence the value of x is -5.
Learn more about linear equations;
https://brainly.com/question/29739212
#SPJ2
Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each
ticket costs 15 dollars.
Select the equation that matches this situation.
Ow= 15 + 5
O 5 = 15w
O w = 5(15)
15 = 5w
Answers
Answer:W=5x15
HTH
Step-by-step explanation:
Jamie is flying a kite at the beach. Jamie ties the string to a stake in the ground and
lets out 75 feet of string. If the angle of elevation of the kite is 55 degrees, how high is
the kite from the ground to the nearest foot?
Answers
Answer:
24
Step-by-step explanation:
that is what thinkof ur answer
Answer:
Height=61 feet
Step-by-step explanation:
Height=sin 55 degrees x 75
Height=0.8192 x 75
Height=61.43
What is the value of y?
y =
Answers
79+37=116
180-116=64
all angles of a triangle adds up to 180
add the two given angles and subtract that from 180 to find the missing angle
I need help to find the range
Answers
so [-5,4]
Answer:
algebraic terms = 4- -4 = 8
Step-by-step explanation:
-4 is our lowest value as 5 is not equal or counted
4 is our highest value and is counted.
Listen in equation what is 596×9 subtract 64÷5 is this hard 13 points
Answers
Answer:
5351.2
Step-by-step explanation:
596 times 9 = 5364
64 divided by 5 = 12.8
5364 minus 12.8 = 5351.2
Second part: 12.8
5364 - 12.8 = 5351.2
wich of the statement below is true for the foolowing set of numbers 24,20,36,51,60,28?
Answers
20,24,28,36,51,60 us the correct statement
25 divided 5 + 7 - [ 4 x 3 ] =
Answers
please help what is this help
Answers
I think this
Help due soon plz helpp
Answers
Answer: 7) -12;
8) 0 или 1.
Step-by-step explanation:
7.
x ≤ - 12
x ∈ ( - ∞; - 12]
Наибольшее целое значение, при котором верно неравенство равно -12.
8.
-9,6*8 > - 9,627
Варианты возможных чисел: -9,618 и -9,608.
Значит вместо звездочки можно подставить цифры 0 или 1.
Which ordered pairs show the location of the Empire State Building? Check all that apply. (1 and one-half, 1) (1, 1 and one-half) (–1.5, –1.0) (1.5, 1.0) (1.0, 1.0) nevermind
Answers
I know you said never mind but the answer is a and d if it's wrong im sorry but i got it right on mine
Answer: a & d
Step-by-step explanation:
BEG is a triangle ABC and DEF are parallel lines workout the size of angle x
Answers
Answer:
Step-by-step explanation:
Here the answer
Answer:
Angle X i belive is a right angle
Please help with this question
Answers
65/5 = 13
The answer is $13 per book
Answer:
One book would cost $13.
Step-by-step explanation:
To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.
I hope this helps you.
A poker deck consists of fifty-two cards, representing thirteen denominations (2 through ace) and four suits (diamonds, hearts, clubs, and spades). A five-card hand is called a flush if all five cards are in the same suit but not all five denominations are consecutive. Pictured below is a flush in hearts. Let N be the set of five cards in hearts that are not flushes. How many outcomes are in N
Answers
Answer:
10
Step-by-step explanation:
Let N represent the set of 5 hearts cards that are not flushes
From the image attached below; there are thirteen (13) denominations on deck
i.e. (A,K,Q,J,10,9,8,7,6,5,4,3,2) in the deck
Let us take an integral look at the set of cards that contains consecutive dominations in hearts. Relating them from the lowest denomination to the highest denomination. Also, for hand to be in a straight all cards, they must be in consecutive order.
So, starting from the lowest straight A-2-3-4-5 to the highest straight, we would have a royal flush 10, J, Q, K, A
∴
[tex]N = \left \{ {{(A,2,3,4,5,),(2,3,4,5,6),(3,4,5,6,7),(4,5,6,7,8)(5,6,7,8,9)} \atop {(6,7,8,9,10),(7,8,9,10,J),(8,9,10,J,K),(9,10,J,K,L),(10,J,Q,K,A)}} \right. \}[/tex]
Hence, the total no of outcome for N = 10
In a triangle, the second angle measures twice the first. The measure of the third angle is 24 degrees more than the first. Find the measures of the three angles.
Answers
A bottle contains 24.5 oz of water. A leak in the bottle causes it to lose 0.3 oz of water every minute. How many minutes does it take for the bottle to lose 33% of the water.
Answers
Answer:
27 minutes
Step-by-step explanation:
33% of 24.5 is 8.1 ounces
.3 oz / 1 min = 8.1 oz / 'x' min
cross-multiply:
.3x = 8.1
x = 8.1 / .3
x = 27
my REAL FINAL LAST 100 points, pls do me well this time... show work pls :(
Answers
Im not sure how to explain how to do a graph, but I hope this helps at least a bit!
~Direct Variation When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. In simpler terms, that means if A is always twice as much as B, then they directly vary. If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3.~
What is the slope-intercept form of the line that passes through (2,7) and (4, -1)?
y = -4x + 15
y = -4x + 12
y = -4x + 30
y = -4x + 3
Answers
Answer:
y=-4x+15
Step-by-step explanation:
The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with resect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the. population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day.
Required:
What is the differential equation that models this situation?
Answers
Answer:
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]
Step-by-step explanation:
Given
Variation: Directly Proportional
Insects = 10 million when Rate = 2 million
i.e. [tex]P = 10\ million[/tex] when [tex]\frac{dP}{dt} = 2\ million[/tex]
Required
Determine the differential equation for the scenario
The variation can be represented as:
[tex]\frac{dP}{dt} \ \alpha\ P[/tex]
Which means that the rate at which the insects increase with time is directly proportional to the number of insects
Convert to equation
[tex]\frac{dP}{dt} \ =\ k * P[/tex]
[tex]\frac{dP}{dt} \ =\ kP[/tex]
Substitute values for [tex]\frac{dP}{dt}[/tex] and P
[tex]2\ million = k * 10\ million[/tex]
Make k the subject
[tex]k = \frac{2\ million}{10\ million}[/tex]
[tex]k = \frac{2}{10}[/tex]
[tex]k = \frac{1}{5}[/tex]
Substitute [tex]\frac{1}{5}[/tex] for k in [tex]\frac{dP}{dt} \ =\ k * P[/tex]
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}* P[/tex]
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]