Answer:
a = 125°, b = 20°, c = 35°, d = 90°, e = 55°
Step-by-step explanation:
Quadrilateral PQRS is inscribed in a circle, therefore it is a cyclic quadrilateral.
PQ is diameter, SR is chord and PR is transversal such that:
PQ || SR... (given)
[tex] m\angle PRQ = 90°..(\angle \: inscribed \: in\: semicircle) \\
\huge \red {\boxed {\therefore d = 90°}} \\\\
m\angle RPQ= m\angle PRS .. (alternate \: \angle s) \\
\huge \purple {\boxed {\therefore c = 35°}} \\\\
In\: \triangle PQR, \\
c + d + e = 180°\\
35° + 90° + e = 180°\\
125° + e = 180°\\
e = 180° - 125°\\
\huge \orange {\boxed {\therefore e = 55°}} \\\\
a + e = 180°...(opposite \:\angle 's \: of \: cyclic \: quadrilateral) \\
a + 55°= 180°\\
a = 180°- 55°\\
\huge \blue {\boxed {a = 125°}} \\\\
In\: \triangle PSR, \\
a + b + 35°= 180°\\
125° + b + 35° = 180°\\
160° + b = 180°\\
b = 180° - 160°\\
\huge \pink {\boxed {b = 20°}}
[/tex]
in a test +3 marks are given for every correct answer and -1 for every incorrect answer Mary attempted all questions and scored +20 marks though she got 10 correct answers (1)how many incorrect answers has she attempted? (2)how many questions were given in the test?
Answer:
10
20
Step-by-step explanation:
correct c=3 x 10
incorrect i=-1
-------
3c-i=203*10-i=20i=10incorrect= 10
number of questions= 10+10= 20
What is the measure of AC?
E
5 units
13 units
26 units
39 units
с
3x-2
00
6x + 9
A
8x - 1
D
Answer:26 units
Step-by-step explanation:
Uma escola estadual de ensino fundamental e médio possui 600 alunos matriculados e nesse período de isolamento social ,os professores têm oferecido atividades remotas atravês ...
Danielle needs to pay $50.00 to attend her college’s semi-formal. When she works in the dining hall, she makes $20.00 per day plus $6.00 for every additional hour she works. If she wants to earn at least $50.00 by Friday, she thinks that she only needs to work 3 additional hours but her friend Jurrae thinks that she needs to work 5
Find the area of the shape shown below.
Answer:
23.4375
Step-by-step explanation:
you need to do base x base x height divided by 2. 7.5 x 2.5 x 2.5 = 46.875. divide that by 2 and you get 23.4375
There are 180 girls in a mixed school. lf the ratio of girls is to boys is 4:3 , the total number of students in the school is what?
Answer:
315
Step-by-step explanation:
No. of girls be g
No. of boys be b
g= 180
g/b = 4/3
b = 3g/4
b= 3(180/4)
b= 3*45
b= 135
.
Find b+g
= 135 + 180
= 315
If -2x+3=7 and 3x+1=5+y, what is the value of y?
Answer:
y = -10
Step-by-step explanation:
To solve this, you must find the value of x first. To do this you must move the first equation so that x is by itself.
-2x + 3 = 7
Subtract 3 from both sides:
-2x = 4
Divide both sides by -2:
x = -2
Now plug in -2 for x into the second equation, like so:
3x + 1 = 5 + y
3(-2) + 1 = 5 + y
-6 + 1 = 5 + y
Add like terms:
-5 = 5 + y
Subtract 5 from both sides:
-10 = y
The value of y for the given system of equations is -10.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given,
-2x + 3 = 7 and 3x + 1 = 5 + y
-2x = 7 - 3
x = -2
Substitute as
3(-2) + 1 = 5 + y
y = -6 + 1 - 5
y = -10
Hence "The value of y for the given system of equations is -10".
For more about the equation,
brainly.com/question/10413253
#SPJ2
How many vertices does a closed cone have?
What is the area??????
Answer:
15.59
Step-by-step explanation:
The answer is 15.59 because to find the area of an equilateral triangle, you need to multiply the height by the length. In this scenario, the length is 6, and we need to find the height. Since we know that all of the sides of the equilateral triangle are 6, we can put a line dividing the equilateral triangle exactly in half as our height. This will form 2 triangles, and each of them will have a length of 3, and a slant height of 6. They would also be right triangles. Now, with this information you can do pythageroum thereom to find the height:: 3^2 + h^2 = 6^2. So, h = √27. Now, to find the area of a triangle, you must multiply the length by the height and then divide by 2. So (6 • √27)/2 is equal to 15.5884572681, which rounded is equivalent to 15.59. So the answer is 15.59.
Multiply the binomials.
(x−7)(x+3)
Answer: =
x
2
−
4
x
−
21
Step-by-step explanation: (
x
+
3
)
.
(
x
−
7
)
=
(
x
)
.
(
x
−
7
)
+
(
3
)
.
(
x
−
7
)
ANSWER
x^2-4x-21
EXPLAIN
First expand the brackets by multiplying the number from the first bracket to the second bracket
you will get this = x^2 + 3x- 7x- 21 ,then u collect the like terms which is (3x & -7x).
your answer ( x^2 - 4x - 21 ).
[25 POINTS] hi um please send help within like, 20 mins bc I'm gonna cry hahahaha
determine a value of c such that cu = 75 where u = 7i + 24j
context: precalc, vector unit
Answer:
c = 3
c = -3
(There are two because absolute value :P)
Step-by-step explanation:
u = 7i + 24j
u = (7, 24)
||c * u|| = 75
75 = || c [tex]\sqrt{7^{2}+24^{2} }[/tex] ||
75 = || c [tex]\sqrt{625}[/tex] ||
75 = || c * 25 ||
3 or -3 = c
HELP GETS BRAINLIST! AND POINTS! (08.03 LC)
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Forearm Length, Group A
10
11 12 13
Length (inches)
Forearm Length, Group B
10 11 12 13
Length (inches)
Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length?
Answer:
group A has longer average
Step-by-step explanation:
the average for group A : 11+11+12+12+12+12+13+13+13+13= 122/10=12.2
the average for group B : 10+10+10+10+10+11+11+12+12+12=108/10=10.8
Answer:
group A has longer average
Step-by-step explanation:
please help me answer this!!!
[tex]a_1[/tex] is the first term of the sequence, which is [tex]\boxed{-4}.[/tex]
[tex]r[/tex] is the common ratio of the sequence, the number that you multiply one term by to generate the next term. Here, we see that multiplying by -2 will generate the next term, so [tex]\boxed{r=-2}.[/tex]
We use the formula [tex]S_n=\frac{a_1(r^n-1)}{r-1}[/tex] to find the sum of the first 6 terms - just plug in our values for [tex]a_1[/tex] and [tex]r:[/tex]
[tex]S_6=\frac{-4((-2)^6-1)}{-3}=\frac{-4(63)}{-3}=\boxed{84}.[/tex]
plz help with slope question
Answer:
Step-by-step explanation:
Given y=2x(Let's call this eqn1) and y=x+4(eqn2)
We can substitute eqn1 in eqn2 to get
2x=x+4
2x-x=4
x=4
Substitute the value x in eqn1
y=2x
y=2(4)
y=8
Answer:
C. (4, 8)
Step-by-step explanation:
→Plug in y = 2x into y = x + 4, like so:
y = x + 4
2x = x + 4
→Subtract x from both sides:
x = 4
→Now plug in 4 for x into one of the equations (doesn't matter which one):
y = 2x
y = 2(4)
y = 8
maria rolls a regular number cube with sides labeled 1 through 6 a total of 45 times. The number 4 is rolled 12 times. What is the experimental probability of rolling a 4?
Answer:
... ...................
find the area of the shape shown below
Answer:
I think the area is 12 units.
Step-by-step explanation:
Anyone correct me if I'm wrong!
So, I started with 6 times 2 is 12 but since it's a triangle, you have to divide it by 2 . Cause if you cut a square or rectangle, it will become a triangle.
So, 6 for half of the rectangle.
Then in the middle it's a square so 2 times 2= 4.
That square is 4.
Last one would be half a square, so 2 times 2= 4. Divide it in half, you get 2.
That part is 2.
Then I think you have to add all of them, 6+4+2=12
So I think it's 12 units??
Answer:
There are 3 shapes in the figure.
1 scalene triangle
1 equilateral triangle
1 square
the formula to find the area of a triangle is 1/2 x base x height:
Area of scalene triangle: 1/2 x 6 x 2 = 6 units^2
Area of equilateral triangle: 1/2 x 2 x 2 = 2 units ^2
Area of square: (base x height)
Area of square: 2 x 2 = 4 units^2
Then add up all the areas:
6 units^2 + 2 units^2 + 4 units^2 = 12 units^2
So the area of the entire figure is 12 square units.
pls mark brainliest if this helped :)
Hi! I need the answer for this question: solve until you get the minimum expression: 2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)
Answer:
11/5 x^2 + 5/2 xy + 3/2 y.
Step-by-step explanation:
2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)
= 2x^2 + 2xy + 1/5 x^2 + 1/2xy + 3/2 y
= 11/5 x^2 + 5/2 xy + 3/2 y.
The circumference of a circle is 56.52 inches. What is the diameter of the circle?
A. 4.5 in.
B. 9 in.
C. 18 in.
D. 36 in.
Answer:
Circumference of a circle = πd
d=diameter
56.52=3.142d
d=17.98 inches d=18 inches
Answer:
18 in.
Step-by-step explanation:
If you do the math, you'd actually get 17.99 inches lol. Just round your answer to 18 since it's THAT close to 18.
someone empties 6 jugs of milk into a container. -Each jug contains 4 L of milk. -He uses the container of milk to fill cartons. -Each carton requires 250 mL of milk. How many cartons will he be able to fill?
Answer:
96 cartons
Step-by-step explanation:
Capacity of one jug = 4 L
Capacity of 6 jugs = 4 * 6 = 24 L
Capacity of milk in the container = 24 L
one litre = 1000 ml
24 liter = 24 * 1000 = 24000 ml
Number of cartons = Total capacity of milk/Capacity of milk in one carton
= 24000÷250
= 96 cartons
1 container receives 6 jugs of milk (1 jug of milk=4L)
6×4L=24L
The 1 container of milk is used to fill cartons of milk
The 1 container of milk is used to fill cartons of milk (1 carton=250 ml)
Step 1; Convert ml to L
250ml ÷ 1000 = 0.25L
Step 2; Divide
24L ÷ 0.25L = 96
Ans: 96 cartons of milk can be filled.
Choose the answer based on the most efficient method as presented in the lesson. -- If the first step in the solution of the equation -x + 6 = 5 - 3x is "subtract 5," then what should the next step be? -- A.)add 3x B.) add x C.) subtract 6
Answer:
Should be B...add x
Henry examined the table that represents values satisfying the function f(x) shown below.
Based on the information in the table, which one of these key features is incorrect?
A) the maximum value of the function is 4.
B) the y-intercept of the graph of the function is at (0,-18).
C) a local minimium is located within the interval [3,6].
D) a local maximum is located within the interval [ 1,3].
the answer is A. it is asking for the incorrect answer therefor all are correct except A.
Answer:
A got it right
Step-by-step explanation:
During a sale at the market, steaks sold for $2 and watermelons sold for $1.50. Jan spent $17 and bought a total of 10 steaks and watermelons. How many of each did she buy?
Answer:
She bought 4 steaks and 8 watermelons, hope this helps
Step-by-step explanation:
7) Ryan's school is selling tickets to a play. On the first day of ticket sales the school sold 8 senior citizen
tickets and 10 student tickets for a total of $182. The school took in $109 on the second day by selling 6
senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one
student ticket?
Mrs. Samuelson had $350 to spend on a field trip for herself and 18 students. Admission was $12.50 per person and lunch cost about $5.00 per person. Write an equation to describe the amount of money left after the trip.
Step-by-step explanation:
Answer is $17.5
It says Mrs. Samuelson had $350 to spend on a field trip for herself and 18 students. so there are 19 people. Multiply 12.50*19 you get 237.5.
It also says lunch cost about $5.00 per person. Multiply 5.00*19 you get 95.
Add 95 to 237.5.
You get 332.5
Subtract 350 by 332.5.
Equation: 350-(19*12.50)+(19*5.00)
Answer: $17.5
Which of these procedures is the same as multiplying a whole number by 1,000?
A. Add 1,000 to the whole number, three times.
B. Move the decimal point three places to the left and fill in the blank places with zeros.
C.Multiply the whole number by 3, ten times.
D.Move each digit of the whole number three places to the left and fill in the blank places with zeros.
Answer:
D. Move each digit of the whole number three places to the left and fill in the blank places with zeros.
Step-by-step explanation:
Take the number 5 for example.
If you multiply this by 1,000 you get 5,000.
You may do this by moving the digit 3 places to the left which will give you
5---, then you replace the empty spaces with zeros.
WEGNERKOLMP PLEASE ANSWER THIS MATH QUESTION !!! 20 POINTS AND BRAINLIEST !!
Answer:
c tomato 2.5
pepper = 3.5
Step-by-step explanation:
Let t= the price of tomato plants
p =the price of pepper plants
3t+ 4p = 21.50
5t+ 2p = 19.50
Multiply the second equation by -2
-10t -4p =-39
Add this to the first equation to eliminate p
-10t -4p =-39
3t+ 4p = 21.50
---------------------
-7t = -17.5
Divide by -7
t = 2.5
Now find p
5t+ 2p = 19.50
5( 2.5) + 2p = 19.50
12.5+2p = 19.50
Subtract 12.5 from each side
2p =7
p =3.5
We want the price of 1 tomato and 1 p
3.5+2.5
Answer:
C
Step-by-step explanation:
Let t = price of tomato plants
and p = price of pepper plants
3t + 4p = 21.50 ...... (1)
5t + 2p = 19.50 ..... (2)
Multiplying eqn. (2) by - 2
(5t + 2p) * (- 2) = (19.50) * (- 2)
- 10t - 4p = - 39
-10t - 4p = - 39
3t + 4p = 21.50
____________
-7t = -17.5
t = 2.5
Putting t = 2.5 in eqn. (2), we get:
= 5 * (2.5) + 2p = 19.50
12.5 + 2p = 19.50
2p = 7
= 3.5
Price of one tomato and one pepper plant = 3.50 + 2.50
During a pumpkin launching contest, two pumpkins are launched at the same time.
Answer:
Even if they are different weights they will fall at the sam time
Step-by-step explanation:
by fall I mean hit the ground
Solve for x. Round to the nearest hundredth.
tan 51° 14.5
Answer:
17.91
Step-by-step explanation:
What is the solution of the system of equations shown below? y = 4x + 4 y
= x^2 - 5x + 18 *
Answer:
(7, 32) and (2, 12)
Step-by-step explanation:
y = 4x + 4
y = x² - 5x + 18
4x + 4 = x² - 5x + 18
x² - 9x + 14 = 0
14 = (-7)(-2)
-9 = -7 + (-2)
(x - 7)(x - 2)=0
x= 7, x = 2
For x = 7
y = 4x + 4 = 4*7 + 4 = 32
(7, 32)
For x = 2
y = 4x + 4 = 4*2 + 4 = 12
(2, 12)
Check:
y = x² - 5x + 18
(7, 32)
32 = 7² - 5*7 + 18
32= 32 true
(2, 12)
12 = 2² - 5*2 + 18
12 = 12 true
Answer:
(7, 32) and (2, 12)
Step-by-step explanation:
Find angle x,y,x,p!
'very easy
Answer:
y=120
z=120
x=120
p=60
Step-by-step explanation:
y=120
z=120
x=120
p=60