Answers
Answer:
16. [tex]x = 80^\circ[/tex]
17. [tex]x = 55, y =70, z = 55[/tex]
18. [tex]x =8, y =3[/tex]
19. [tex]r = 66^\circ[/tex], [tex]t = 73^\circ[/tex]
20. [tex]y = 70^\circ, x = 55^\circ[/tex]
21. [tex]x =56^\circ, y = 62^\circ[/tex]
Step-by-step explanation:
16. Side [tex]AB = AC[/tex]
So, the opposite angles of the triangle will also be equal.
[tex]\angle B =\angle C = 50^\circ[/tex]
Using triangle sum property, angle of all the internal angles of a triangle is equal to [tex]180^\circ[/tex].
[tex]50+50+x = 180\\\Rightarrow x = \bold{80^\circ}[/tex]
17. Two sides are given as equal, [tex]x = z[/tex]
Angles on a straight line are always equal to [tex]180^\circ[/tex].
So,
[tex]x + 125 = 180\\\Rightarrow x = 55[/tex]
[tex]z = 55[/tex]
Using triangle sum property, angle of all the internal angles of a triangle is equal to [tex]180^\circ[/tex].
[tex]55+55+y = 180\\\Rightarrow y = \bold{70^\circ}[/tex]
18. All the angles are given equal to each other, therefore all the sides of the triangle will also be equal to each other.
[tex]4x+7 = 13y =39[/tex]
[tex]13y = 39\\\Rightarrow y = 3[/tex]
[tex]4x +7 = 39\\\Rightarrow 4x = 32\\\Rightarrow x = 8[/tex]
19. Two sides are given equal to each other, therefore angles opposite to them will be equal.
Using the triangle sum property in the left triangle:
[tex]r + 57 + 57 = 180\\\Rightarrow r = 66^\circ[/tex]
Using the property that vertically opposite angles are equal and the triangle sum property in the right triangle.
[tex]t+50+57 = 180 \\\Rightarrow t = 73^\circ[/tex]
20. All the sides are given equal to each other.
So, all the angles will be equal to [tex]60^\circ[/tex].
[tex]y - 10 = 60\\\Rightarrow y = 70^\circ[/tex]
[tex]x+5=60\\\Rightarrow x = 55^\circ[/tex]
21. Angles on a straight line are always equal to [tex]180^\circ[/tex].
Angles opposite to equal sides in a triangle are also equal.
[tex]118 + y = 180\\\Rightarrow y = 62^\circ[/tex]
Using triangle sum property:
[tex]x+2y = 180\\\Rightarrow x = 180 - 124 = \bold{56^\circ}[/tex]
Related Questions
Jaysen helps his mom in gardening. The produce is sold in the market for $ 17 a bag . This year they sold 25 bags. Jaysen gets 35% of the money that is earned. How much will Jaysen earn
Answers
Answer:
Step-by-step explanation:
the money received for 25 bags:
17*25=425
Jaysen get 35%
425*(35/100)=148.75 dollars
Answer:
148,75 $
Step-by-step explanation:
17 × 25 = 425
425 × 0,35 = 148,75
How we can differentiate between direct proportion and inverse proportion?
Answers
Answer:
Please check explanations for answer
Step-by-step explanation:
Here, we want to differentiate between inverse and direct proportion
Let x and y be two quantities
If they are directly proportional;
x/y = k
x = ky
where k is proportionality constant
If inversely;
xy = k
In verbal terms;
For direct proportionality, when one value increase, the other too does so and vice versa
For inverse, when one value inverse, the other decrease
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right angle. Yes. No.
Answers
Answer:
Yes
Step-by-step explanation:
3 , 4 & 5 are Pythagorean Triplet numbers. When lengths of a triangle's 3 sides are Pythagorean Triplet , the triangle is a right angled triangle.
The triangle will be a right angled triangle only when the hypotenuse will have length of 5 and other 2 sides will have length of either 3 or 4.
Answer:
[tex]\boxed {\boxed {\sf Yes, \ the \ side \ lengths \ 3, \ 4, \ and \ 5\ can \ make \ a \ right \ triangle}}[/tex]
Step-by-step explanation:
If the triangle is a right triangle, then the sides will check out in the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs and c is the hypotenuse.
1. Define Sides
The legs are the 2 shorter sides and the hypotenuse is the longest.
The sides given are 3, 4 (shorter), and 5 (longest). Therefore:
[tex]a=3 \\b=4 \\c=5[/tex]
2. Check the Sides in the Theorem
Substitute the values into the theorem.
[tex](3)^2+(4)^2=(5)^2[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction.
Solve all of the exponents first.
(3)² = 3*3= 9 (4)²= 4*4= 16[tex]9+16=(5)^2[/tex]
(5)²= 5*5= 25[tex]9+16=25[/tex]
Add the numbers on the left side of the equation.
[tex]25=25[/tex]
This is true. 25 is equal to 25, so this triangle can be a right triangle.
what fraction equals to 4
Answers
Answer:
confusing wording... read below ( 12/3 )
Step-by-step explanation:
if you meant adding fractions then the other answer, but if i read it right then 12/3. 12 divided by 3 = 4
Hello! Could you please help with these? It was due quite a long time ago. I have a D in this class and need to get my grades up.
Answers
Answer:
16. [tex]y=7x[/tex]
17. [tex]y=0.5x[/tex]
18. [tex]y=3x[/tex]
19. [tex]y=2x[/tex]
Step-by-step explanation:
Equation is [tex]y=kx[/tex] where k is a constant of proportionality.
16.
[tex]\frac{y}{x}=\frac{10.5}{1.5}=\frac{14}{2}=\frac{24.5}{3.5}=\frac{35}{5}=7[/tex]
So, equation is [tex]y=7x[/tex]
17.
[tex]\frac{y}{x}=\frac{1}{2}=\frac{2}{4}=\frac{2.5}{5}=\frac{3.5}{7}=\frac{1}{2}=0.5[/tex]
Equation is [tex]y=0.5x[/tex]
18.
[tex]\frac{y}{x}=\frac{6}{2}=\frac{9}{3}=\frac{15}{5}=\frac{18}{6}=3[/tex]
Equation is [tex]y=3x[/tex]
19.
[tex]\frac{y}{x}=\frac{4}{2}=\frac{8}{4}=\frac{14}{7}=\frac{18}{9}=2[/tex]
Equation is [tex]y=2x[/tex]
14 books in 2 boxes; 20 books in 3 boxes
O Yes, they are proportional
O No, they are not proportional
Answers
Answer:
No of course not
Step-by-step explanation:
14x2=24
20x3=60
Simplify the expression.
7y+6−1+12y =
Answers
Answer:
19+5
Step-by-step explanation:
7y+6-1+12y
Add common variables
19y+5
Can't be simplified any further without an answer to the equation
Hope this helps. Have a great day. May it be filled with joy and happiness
Answer:
24 x y2
Step-by-step explanation:
7+6=13
13-1=12
12+12=24
There is 2 Y's so you do y to the power of 2.
A Large earthworm can travel 25 centimeter in 12 seconds. How many meters does the earthworm travels in1 minute?
Answers
We know that it can travel 25 centimetres in 12 seconds. First, we break down the minute into seconds.
60/12= 5
______________________________
Now, multiply 25 by 5.
25x5=125
__________________________________
With this knowledge, we just have to convert the centimetres, to meters.
_______________________________
Your answer is 1.25 meters :)
Alex helps his father milk cows on their dairy farm. They are paid $2.25
per gallon of milk, that they get from their cows. Together, Alex and his
father are able to milk 12 gallons over a 2-hour period. How much money
could Alex and his father expect to earn if they worked for 10 hours?
А
$22.50
B
$54.00
C
$135.00
D
$270.50
Answers
Cassandra has a loan of $35,720. This loan has a simple interest rate of 4% per year.
What is the amount of interest Cassandra will pay on this loan at the end of two years?
$2,857.60
$38,577.60
$1,428.80
$5,715.20
Answers
Good night, logging out !
Answers
Good night :). Sleep tight!
The Blues Festival sold 20% of tickets at a reduced price of $30 and 30% of tickets at $40 and the rest at the door for full price of $50. With 10,000 tickets sold, how much did they earn from ticket sales in dollars?
Answers
Answer:
$430,000
Step-by-step explanation:
20% of 10,000 = 2000
therefore, 2000 x $30 = $60,000
30% of 10,000 = 3000
therefore, 3000 x $40 = $120,000
50% of 10,000 = 5000
therefore, 5000 x $50 = $250,000
add all dollar amounts together to get $430,000
In this multiplication problem every O stands for some odd digit and every E stands for some even digit. What is the product of the multiplication equal to?
Answers
Using multiplication rules, it is found that the product of the multiplication if an even digit.
What is the multiplication rule?The rule is that a multiplication involving an even number will always result in an even number.
In this problem,two even numbers are multiplied, as they both finish with even digits, hence the result is also an even number, as evidenced by the fact that it finishes with an even digit.
You can learn more about multiplication rules of odd and even numbers at https://brainly.com/question/24657250
in the following figures find the value of angle COD if angle abc is equal to 75 degree and a b is equal to CD
Answers
Angle AOB is given as 75 degrees.
O is the center of the circle so AO and CO are the same length. AB and CD are the same length, so angle COD would be the same as AOB
COD = 75 degrees.
Answer:
75°
Step-by-step explanation:
It is given that:
AB and CD are chords of the circle which are equal. Equal chords subtends equal angles at the center of the circle. [tex] \because m\angle AOB = 75\degree [/tex] [tex] \therefore m\angle COD = 75\degree [/tex]What is the value of y = 3x -1 when x is equal to 4?
Answers
Answer:
11
Step-by-step explanation:
Y = 11 when x is equal to 4.
y = (3)(4) − 1
Answer:
y = 11
formula of pythagorean identity
Answers
Answer:
\sin ^{2} \theta+\cos ^{2} \theta=1
Step-by-step explanation:
PLZ HELP IM BEING TIMED
Answers
Answer:
A
Step-by-step explanation:
Evan is making fruit punch. He adds 3 scoops of fruit punch mix to a pitcher containing 5 cups of water. Evan wants to use a larger pitcher, and he does not want to change the flavor of his fruit punch.
How many scoops of fruit punch mix should Evan add to 15 cups of water?
Answers
PLS HELP ITS DUE TODAY!!
If you have 75 Dollars, then number of nickels, y
- y = 75 ÷ 20
- y = 20 x 75
- y = 20 ÷ 75
Answers
Answer:
y=20x75 is the answer
Step-by-step explanation:
You can basically eliminate other two choices since they are division
f (x) = 2x² - 10x + 13
Find f (-4)
Answers
Answer:
85
Step-by-step explanation:
In this question, you would solve by plugging in -4 to x.
Solve:
f(-4) = 2(-4)² - 10(-4) + 13
= 2(16) + 40 + 13
= 32 + 40 + 13
= 72 + 13
= 85
f(-4) = 85
I need help thank you
Answers
Answer:
C. none of the above
Step-by-step explanation:
-6 + 4q -6q
-2q - 6
Answer
C.
Step-by-step explanation:
sorry im late again
What does 2x + 3x + 4x simlify to?
Answers
Answer:
9x does
Step-by-step explanation:
hope it helps
remind me if its wrong
A rectangular parking lot is surrounded on its perimeter by a fence that is 1,200 feet long. If the length of the rectangular parking lot is 5 times its width, w, which equation can be used to find the width of the parking lot? Ow+ (w+5) = 1,200
Answers
Answer:
w+5w=1200
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT!!
find: x, y
Answers
Answer:
y=2
x=3
Step-by-step explanation:
I'm not sure, but considering that 3/2 = 1.5 I'm assuming that the rest is proportional as well. Therefore, making x=3 and y=2 (4/2=2 and 6/2=3)
Answer:
x = 3, y = 2
Step-by-step explanation:
the diagram shows two triangles that are similar (angle measures are equal and sides are proportional)
1.5 corresponds to 3; therefore, the ratio of sides is 1:2
'x' corresponds to 6 (x must be half of 6)
'y' corresponds to 4 (y must be half of4)
Simplify to create an equivalent expression.
2 – 4(5p + 1)
Answers
Answer:
A. -20p - 2
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
2 - 4(5p + 1)
Step 2: Simplify
Distribute -4: 2 - 20p - 4Combine like terms: -20p - 2Answer:
Step-by-step explanation:
Apply the distributive property
2-20p-4
Simplify expression
-20p-2
Answer choice A is correct
At the store Brand P potato chips were $19.00 for 5 bags. Brand Q potato chips were $13.17 for 3 bags. Which brand has the cheaper price?
Answers
Answer:
Brand P has the cheaper price
Step-by-step explanation:
Brand P: $19.00 / 5 bags = $3.80 per bag
Brand Q: $13.17 / 3 bags = $4.39 per bag
solve for x parallel lines
Answers
Class A has 26 pupils and class B has 15 pupils.
Both classes sit the same maths test.
The mean score for class A is 33.
The mean score for both classes is 39.
What is the mean score (rounded to 1 DP) in the maths test for class B?
Answers
Answer:
Concept: Real World Analysis
So we know A has an average of 33We know A+B/2= 39Hence we will solve for b [tex] \frac{33 + x}{2} = 39[/tex][tex]x = 45[/tex]Answer:
It's 49.4
Step-by-step explanation:
((26*33)+(15*x))/41＝39
((858)+(15*x))/41＝39 ‖*41
(858)+(15*x)＝1599 ‖-858
15*x＝741 ‖/15
x＝49.4
Ava solved the compound inequality+7<-1 or 2x-129 for all possible values of x. Which graph represents
the solution set?
30 -24 -18
06 12
30 -24 -18 -2 -6 0 6 12
36 -30 -24 -18 -12 -6 06 12
-36 -30 -24 -18 -12 -6 0 6 12
Answers
Answer:
D
Step-by-step explanation:
To get the graph, we will need to solve each inequality differently
For the first one, we have that
x/4 < -1-7
x/4 < -8
x < -8 * 4
x < -32
For the second side;
2x-1 ≥ 9
2x ≥ 10
x ≥ 5
So we have two arrows facing different directions
On the left should be unshaded while the right hand side should be shaded
So, the correct answer here is the 4th option
The graph of an exponential function is given. Which of the following is the correct equation of the function?
y = [tex]2.4^x[/tex]
y = [tex]0.31^x[/tex]
y = [tex]0.45^x[/tex]
y = [tex]1.8^x[/tex]
Answers
Answer:
[tex]y = 2.4^x \\ from \: intercepts \: using \: natural \: log( ln)[/tex]
Answer:
2.4
Step-by-step explanation: