Answers
Answer:
x = 11
Step-by-step explanation:
Properties of a square,
1). Diagonal of a square bisect the opposite angles.
2). All interior angles of a square measure 90°.
From these properties,
m∠PQR = 90°
Since, diagonal QS bisects angle PQR,
m∠PQS = m∠RQS = 45°
(6x - 21)° = 45°
6x = 45 + 21
6x = 66
x = 11
Related Questions
Find the slopes of the following lines
Answers
Answer:
-3/1 and -2/1
Step-by-step explanation:
Base ten numeral
What is Two and four hundred fifty eight thousandths?
Answers
Answer:
2.458
Step-by-step explanation:
Answer:
2.458
Step-by-step explanation:
It’s basically Place Values, 2 is in the ones, 4 is in the tenths, 5 is in the hundredths and 8 is in the thousandths.
5a + 5b -5 + 11a - 11b + 11
Answers
Answer:
16a - 6b + 6
Step-by-step explanation:
5a + 5b - 5 + 11a - 11b + 11 = 5a + 11a + 5b - 11b - 5 + 11 = 16a - 6b + 6
plz help me ...
please
Answers
Answer:
x = -1, and y = -2, giving you the answer (-1, -2)
Step-by-step explanation:
In the second equation, we're told that y is equal to 2x. With that, we can replace "y" in the first one with "2x", giving us:
-4x - 2x = 6
-6x = 6
x = -1
Now that we know the value of x, we can simply plug it into the first equation to find y:
-4x - y = 6
-4(-1) - y = 6
4 - y = 6
-4 + y = -6
y = -6 + 4
y = -2
So x = -1, and y = -2
Identify all the expressions that are equivalent to 43.
A
12
B.
64
C
4x4x4
D
34
E
82
F
26
Answers
Answer:
4*4*4, 64, 8^2, 2^6
Step-by-step explanation:
4^3=4*4*4
=64
4^3=2^(2*3)=2^6
=8^2
At a baseball game, 3 drinks and 4 hotdogs cost $15.00. At the same game, 3 drinks and 1 hotdog cost $10.50. Find the cost for a drink.
Answers
Answer:
$3
Step-by-step explanation:
Given data
Let the cost of drinks be x
and the cost of hotdogs be y
so
3x+4y=15-------1
also
3x+y= 10.5------2
solve 1 and 2
3x+4y=15
-3x+y= 10.5
3y= 4.5
divide both sides by 3
y= 4.5/3
y= $1.5
Put y= 1.5 in 1
3x+4(1.5)=15
3x+6= 15
3x=15-6
3x= 9
x= 9/3
x= $3
Hence the cost of a drink is $3
In the volume formula, V=Bh, what does the capital B stand for?
Answers
Answer:
B stands for base
Step-by-step explanation:
The B stands for the base of the shape.
I need help quickly
Write 4 x 5/8 as a mixed number
Answers
Answer:
2 1/2
Step-by-step explanation:
When multiplying fractions, you multiply the numerators together and the denominators together.
4 • 5/8
Multiply 4 and 5.
20/8
You can simplify this by dividing both parts by 4
5/2
5/2 is also 2.5
2.5 written as a mixed number is 2 1/2.
This is your answer.
Hope this helps!
Can SOMEONE PLZ HELPPPP
Answers
Answer:
option D would be your answer
Step-by-step explanation:
[tex]y=\frac{-1}{2}[/tex]
Answer:
its -1/2 the last option
Step-by-step explanation:
solve the equation -8(4k-5)=200
Answers
Answer:
k = -5
Step-by-step explanation:
A small bottle contains 120 mL of juice. A large bottle contains 160 mL of juice. What is the ratio of the volume of juice in the small bottle to the volume of juice in the large bottle? A. 4 : 3 B. 3:5 C.3 : 4 D. 5:3
Answers
Answer:
3:4
Step-by-step explanation:
Given:
Small bottle volume = 120 mL
Big bottle volume = 160 mL
Find:
Ratio of small bottle to big bottles volume
Computation:
Ratio of small bottle to big bottles volume = 120 / 160
Ratio of small bottle to big bottles volume = 3/4
Ratio of small bottle to big bottles volume = 3:4
Option "C" is correct.
2) Jacob is 3 years older than Sarah, and Caroline is twice as old as Sarah
If Caroline is 28 years old, how old is Jacob? *
Answers
Half of 28 is 14
Sarah is 14 and Jacob is 3 years older than her
Jacob is 17!
12ax^{2} -15ab-16a+20b[/tex]
Answers
Answer:
12 a x^ 2 -15 a b-16 a
plz help,i'll give brainlliest
Answers
7b^2 - 14b - 56 = 0
Solve by completing the square
Answers
Answer: 7(b-1)^2-63
Step-by-step explanation:
Factor out 7
7(b^2-2b-8)
Add and subtract (-1)^2:
7(b^2-2b-8+(-1)^2-(-1\)^2)
Complete the square:
7((b-1)^2-8-(-1)^2)
Simplify:
7(b-1)^2-63
2. Find the volume of the
cylinder
Answers
Answer:
V≈43.98
Step-by-step explanation:
V=πr2h=π·22·3.5≈43.9823
3≤7+g
Help
I’m famous
Answers
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Let's solve your inequality step-by-step.
3 ≤ 7 + g
Step 1:Simplify both sides of the inequality.
3 ≤ g + 7
Step 2: Flip the equation.
g + 7 ≥ 3
Step 3: Subtract 7 from both sides.
g + 7 − 7 ≥ 3 − 7
g ≥ −4
Answer:
g ≥ −4
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
-4 ≤ g is an answer for this.
Solve the equation 14y+82=6x-20 for x if y is 25
Answers
Answer:
x= 226/3 or 75.33333333333333333333333333333
Step-by-step explanation:
14y+82=6x-20
y=25
Sub y=25 into 14y+82=6x-20
14y+82=6x-20
14(25)+82=6x-20
Calculate as follows:
14(25)+82=6x-20
350+82=6x-20
432=6x-20
Add twenty to both sides:
432+20=6x-20+20
452=6x-0
452=6x
Divide both sides by 6
452=6x
452/6=6x/6
452/6=x
x= 226/3 or 75.33333333333333333333333333333
Biologists notice an alarming trend in the walleye population in Lake Erie. Despite efforts, the population is decreasing by 15% each year. They estimate the walleye population was 26 million at the beginning of the current year. Write a sequence that lists the population for the first 4 years using 26 million as the first term.
Walleye populations are considered to be in a rehabilitation state when they are between 15 and 20 million. In what year will the population reach this level? In addition to a harvest restriction, what intervention could be used?
Using the formula [tex]s_n = \frac{a^1 - a^1 (1 + r)^n}{1-(1+r)}[/tex] the sum of the population for the first 10 years? Remember it is decreasing by 15% each year!!
Answers
Answer:
Part A
The population for the first four years are;
Year 1; 26,000,000,
Year 2; 22,100,000
Year 3; 18,785,000
Year 4; 15,967,250
Part B
i)The third year
ii) Provision of spawning environment and the reduction of predators
Part C
The population after 10 years is approximately 139,208,436
Step-by-step explanation:
Part A
The given parameters are;
The rate at which the population is decreasing = 15%
The population of the walleye at the beginning of the current year, P = 26 million
Therefore, we have;
The population of subsequent year = 0.85 × The population of the current year
Therefore, we have a geometric series, with a first term, a = 26 million, and a common ratio, r = 0.85, given as follows;
aₙ = a + ar + ar² + ...
Therefore the first 4 years using 26 million as the first term are;
a₁ = 26 × 10⁶
a₂ = 26 × 10⁶ × 0.85 = 22,100,000
a₃ = 26 × 10⁶ × 0.85² = 18,785,000
a₄ = 26 × 10⁶ × 0.85³ = 15,967,250
The population for the first four years are;
26,000,000, 22,100,000, 18,785,000, 15,967,250
Part B
i) Given that the walleye population are considered to be in rehabilitation state when they are between 15 and 20 million, we have;
The population in the third year = 18,750,000 < 20,000,000
Therefore, the population enters rehabilitation state in the 3rd year
ii) Other intervention method includes provision of a adequate environment for spawning and the removal of predators
Part C
The formula for the sum of the geometric progression is presented as follows;
[tex]S_n = \dfrac{a^1 - a^1 \cdot (1 + r)^n}{1 - (1 + r)}[/tex]
Therefore, we have;
[tex]S_n = \dfrac{26 - 26 \cdot (1 - 0.15)^{10}}{1 - (1 - 0.15)} = 139.208436581[/tex]
The population after 10 years, Sₙ = 139.208436581 × 10⁶ ≈ 139,208,436
midpoint of (4,3) and (9,10)
Answers
Answer:
(13/2, 13/2)
Step-by-step explanation:
I need to find the Surface Area must show all work: I need help!!
Answers
rectangles - 24*17=408*2= 816
base - 24*10= 240
ADD 240+816+180= 1,236cm
Which question is a statistical question?
What is the height of the tallest mountain?
What is the favorite flower of each student?
How many children does my math teacher have?
How many miles is the longest hiking trail?
Answers
11-2 (1+3x) < 39
Maths HW Please help
Answers
Answer:
x>-5
Step-by-step explanation:
The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 12 vans and 5 buses with 269 students. High School B rented and filled 4 vans and 1 bus with 73 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?
Answers
Answer:
Number of students in each van = 18
Number of students in each bus = 53
Step-by-step explanation:
Given: The senior class at High School A rented and filled 2 vans and 7 buses with 407 students.
High School B rented and filled 1 van and 7 buses with 389 students.
Also, every van and the van had the same number of students in it.
Solution:
Let x denotes number of students in each van and y denotes number of students in each bus.
According to the given information,
From (ii), put in (i)
Put in
Number of students in each van = 18
Number of students in each bus = 53
Please give brainliest.
I need help please, I'm so confused .
Answers
Answer:
0.1, -0.2, -0.5
Step-by-step explanation:
PLZ HELP ASAP
The circle is centered at the point (4,5), and the length of its radius is 3. what is teh equation of the circle?
a) (x-4)^2 + (y-5)^2 = 9
b) (x+4)^2 + (y+5)^2 = 3
c) (x-5)^2 + (y-4)^2 = 9
d) (x^2-4) + (y^2-5) = 3^2
Answers
Answer:
The answer is C.
Step-by-step explanation:
What is missing
answer for brainiest
Answers
Answer:
The answer is 30
Step-by-step explanation:
The numerator is rising by 2, and the denominator is rising by 6
24 + 6 = 30
Which expression is equivalently to x^2 + 2x + 2?
Answers
Answer:
(x-1)^2 +1
Step-by-step explanation:
Answer:
(x + 1 - i ) (x + 1 + i)
Step-by-step explanation:
What is the value of this expression? 6 (24+ 3) - 2
Answers
Answer:
160
Step-by-step explanation:
PEMDAS
parenthesis go first 24+3= 27
there are no exponents but their is multiplication 27 times 6 is 162 their is no (D)Division (A)Addition but their is (S) Subtraction 162 minus 2 is 160
If f(x) = - 3x3 -- x2 +8
what is f(-2)?
Answers
Answer:
f(-2) = 28
Step-by-step explanation:
Given that,
[tex]f(x) = - 3x^3 -x^2 +8[/tex]
We need to find the value of f(-2). Put x = -2 in the given function. SO,
[tex]f(-2) = - 3(-2)^3 -(-2)^2 +8\\\\=24-4+8\\\\=28[/tex]
So, the value of f(-2) is equal to 28.