Given : GH bisects ∠FGI
It means : ∠FGH and ∠HGI are equal
Given :
∠FGH = (5x - 8)°
∠HGI = (6x - 15)°
⇒ 5x - 8 = 6x - 15
⇒ 6x - 5x = 15 - 8
⇒ x = 7°
Substituting the value of x, We get :
∠FGH = 5(7) - 8 = (35 - 8) = 27°
∠HGI = 6(7) - 15 = (42 - 15) = 27°
∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°
A marble jar contains 1 blue, 2 green, 3 red, and 5 yellow marbles. If a single marble is drawn at random from the jar, what is the probability that it is blue or red?
Answer:
4/11
Step-by-step explanation:
1 blue, 2 green, 3 red, and 5 yellow marbles.= 11 marbles
P( blue or red) = number of blue or red / total
= 4/11
The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.
Answer: [tex]-6,13[/tex]
Step-by-step explanation:
Given
The sum of the two numbers is 20
and the difference of the two is -6
Suppose, the numbers are x and y
[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]
[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]
[tex]\therefore y=13[/tex]
Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]
A car uses 6 litres of petrol when travelling 66 Km. Calculate the number of litres of petrol used when travelling 165 Km?
Answer:
15L
Step-by-step explanation:
divide the number of km's you will travel(165) by the number you are given originally(66)- 165/66 is 2.5
then multiply 2.5 by the amount of litres it takes for the original 66 km (6L)- 2.5*6 is 15L
Need help ASAP DUE IN 20 minutes please and show work ?!!!
Answer:
V≈134.0
Step-by-step explanation:
divide 8 by 2 to get the radius .
V=πr2h /3
V=πr2 h /3=π·42·8 /3≈ 134.0
Please help I’ll give brainliest!!
(-3)^2 = -3 x -3 = 9
(-2)^2 = -2 x -2 = 4
9 + 4 = 13
The answer is 13
Answer:
(-3)^2 + (-2)^2
(-3*-3) +(-2*-2)
9 + 4
13
No links<3
Fill in the missing value!
Answer:
2.6 and 3
Step-by-step explanation:
The values of the years are being multiplied by 1.3. So when you multiply 2 by 1.3 you would get 2.6. The years are going up by 1 so the year after 2 would be 3.
Can someone please help asap thank you
Answer:
1. -10 > x
2. No, because the more you raise the ticket price, the less people will attend.
3. C) -x - 6 > -3.5
4. you have to do yourself
Step-by-step explanation:
1. if you solve for 5 - 3x > 35 you get x < -30, which means that any answer will be less than -10
I don’t understand this can someone help me
Answer:
slope is 0 because its rise over run and there is no run so 0 or undefined
Step-by-step explanation:
Answer:
It has an undefined slope because this vertical line does not run horizontally, meaning the "run" in rise/run is 0 and you cant divide anything by 0
Step-by-step explanation:
write the set of natural numbers that is less than or equal to 6 in both the notations
Answer:
Step-by-step explanation:
Builder :
X = { x ∈ N : x ≤ 6}
Roster :
X = { 1, 2 , 3 , 4 , 5 , 6}
Factorise 3[tex]x^{2}[/tex]+5x+2
Find the value. Need help on these questions ASAP
Answer:
7) Option D.
8) Option C.
9) Option C.
10) Option A.
Step-by-step explanation:
7) The "x" value can be found using the following trigonometrical identity:
[tex] sin(30) = \frac{12}{x} [/tex]
[tex] x = \frac{12}{sin(30)} = 24 [/tex]
Since "x" (the hypotenuse) is related to the opposite side by sin(θ).
So, the correct option is D.
8) The "y" value can be calculated with tan(θ):
[tex] tan(30) = \frac{12}{y} [/tex]
[tex] y = \frac{12}{tan(30)} = \frac{12}{\frac{\sqrt{3}}{3}} = 12\sqrt{3} [/tex]
Hence, the correct option is C.
9) The hypotenuse can be calculated with cos(θ):
[tex] cos(45) = \frac{5\sqrt{2}}{x} [/tex]
[tex] x = \frac{5\sqrt{2}}{cos(45)} = \frac{5\sqrt{2}}{\frac{\sqrt{2}}{2}} = 10 [/tex]
Thus, the correct option is C.
10) The value of the sides can be found by Pitagoras:
[tex] h^{2} = x^{2} + x^{2} [/tex]
[tex] x = \sqrt{\frac{h^{2}}{2}} = \sqrt{\frac{(12\sqrt{5})^{2}}{2}} = \sqrt{360} = 6\sqrt{10} [/tex]
Therefore, the correct option is A.
I hope it helps you!
Evaluate the following expression when r= 3 and t = 3.
(2 + r) - 11
Answer:
-6
Step-by-step explanation:
substitute
(2 + 3) -11
5 - 11
-6
Answer:
The answer is -6
Step-by-step explanation:
First, plug in the numbers into the original equation - (2+(3))-11
Then, simplify. (5)-11
Simplify one more time. -6
(I dont see anywhere to use the (t) in your equation)
what does the E stand for in PEMDAS
Answer:
P: parenthesis
E: Exponents
M: multiplication
D: division
A: Addition
S: substraction
Step-by-step explanation:
-20w^3+11w^3
Helppppp
Answer:
-9w^3
Step-by-step explanation:
Combine like terms. -20+11 = -9
Answer:
-9 w^3
Step-by-step explanation:
-20w^3+11w^3
Combine like terms
(-20+11) w^3
-9 w^3
Which of the following is not a type of correlation associated with scatterplots?
A. no correlation
B. positive correlation
C. negative correlation
D. indefinite correlation
Please select the best answer from the choices provided
The type of correlation not associated with scatterplots is an indefinite correlation
What is correlation?Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.
Correlation can only be between -1 and 1 but not outside these values.
The types of correlation that we have to include:Hence the type of correlation not associated with scatterplots is an indefinite correlation
Learn more on correlation here: https://brainly.com/question/26172866
Which expression is equivalent to the given expression?
4 ln x+ In 3 – In x
A. In(3x+3)
B. In(x^4 - x+3)
C. In(3x^3)
D. In(11x)
Answer:
C
Step-by-step explanation:
Using the rules of logarithms
loga + logb = log(ab)
loga - logb = log([tex]\frac{a}{b}[/tex] )
log[tex]x^{n}[/tex] ⇔ nlogx
Given
4lnx + ln3 - lnx
= 3lnx + ln3
= lnx³ + ln3
= ln(x³ × 3)
= ln(3x³) → C
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
36 km
24 km
52.5 km
58 km
Answer:
x = 36 km
Step-by-step explanation:
The triangle is a right triangle. To find x, apply Pythagorean theorem which is given as: c² = a² + b²
c = hypotenuse/longest leg = 45 km
a = x
b = 27
Thus:
45² = x² + 27²
2,025 = x² + 729
2,025 - 729 = x²
1,296 = x²
√1,296 = x
36 = x
x = 36 km
help me with this question
Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
Write an inequality for the situation.
all real numbers y that are less than 4 or greater than 9
y < 4 or y > 9
4 < y < 9
y < 4 or y < 9
y < 9 or y > 4
Answer:
y < 4 or y > 9
Step-by-step explanation:
The symbol < means less than, while the symbol > means greater than. So, the inequality y < 4 means that y is less than 4, and the inequality y > 9 means that y is greater than 9. When put together you have all real numbers y that are less than 4 or greater than 9.
A school conference room can seat a maximum of 103 people. The principal and two counselors need to meet with the school's student athletes to discuss eligibility requirements. If each student must bring a parent with them, what is the maximum number of students that can attend each meeting?
Answer: 50
Step-by-step explanation:
Given
There are maximum of 103 people in room and principal and 2 counselor need to discuss eligibility requirements.
If each student must bring a parent with them
No of seats left after principal and 2 counselor occupied the seats are 103-3=100
A student and parent occupies at least 2 seats. For maximum students, only one parent is feasible.
So, maximum no of students are
[tex]\Rightarrow \dfrac{100}{2}=50[/tex]
Is a D a failing grade?
Answer:
Yes anything under a C
Step-by-step explanation:
which of the following is a root of the polynomial function?
Answer:
a
Step-by-step explanation:
What is domain restrictions and what causes them?
Select the correct answer.
Henry wants to get a job this summer. He can either mow lawns or work in the local library. What is the opportunity cost if he decides to mow lawns?
A.
the librarian employing another person
B.
the chance to earn by working in a library
C.
the chance to earn by mowing lawns
Answer:
B.
Step-by-step explanation:
The opportunity cost means what Henry will be missing out on by not working at the library. He loses the chance to earn by working in a library.
Answer:
B. The chance to earn by working in a library
Step-by-step explanation:
This is a guess
Blue
A bowl contains:
• 3 red erasers
• 4 blue erasers
.6 green erasers
• 7 pink erasers
An eraser will be drawn from
the bowl and replaced 50 times.
What is a reasonable prediction
for the number of times a green
eraser will be drawn?
Whoever answers correctly will be marked brainliest
Answer:
30%
Step-by-step explanation:
3+4+6+7= 20
6 (green) / 20
= 30%
Solve for x
1) 3x - 2 = 10
Answer:
Hi, there your answer is x=4
Step-by-step explanation:
Step 1: Add 2 to both sides.
3x−2+2=10+2
3x=12
Step 2: Divide both sides by 3.
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
x=4
2%, percent of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle School.
Answer:
14 kids
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
To find percents I usually just divide the 100% number by 100 in order to get the number that would be 1% of the whole. Thjen, I just multiply the 1% number by however many degrees you need to find.
700÷100=7
7×2=14
14 kids with red hair
Factorize: (+)^2 + 4 (+)+ 4
Answer:
Solution given:
x²+4x+4
x²+(2+2)x+4
x²+2x+2x+4
x(x+2)+x(x+2)
(x+2)(x+2)
(x+2)²
your
answer is
((+) +2)²
PLs, help me with this geometry question.
Answer:
x = 49
Step-by-step explanation:
The central angle AOB is equal to the measure of the arc that subtends it, so
∠ AOB = 82°
OA = OB ( both radii of the circle ), then Δ AOB is isosceles and the 2 base angles are congruent, then
x = [tex]\frac{180-82}{2}[/tex] = [tex]\frac{98}{2}[/tex] = 49
ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is 45.
Question:
ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is ____.
Answer:
101.5cm²
Step-by-step explanation:
The figure for the trapezium ABCD is attached to this response.
To find the area of the trapezium, we use the formula for calculating the area of a trapezium given as follows;
A = [tex]\frac{1}{2}[/tex] x (a + b) x h ------------------(i)
Where;
A = area of the trapezium
a and b are the parallel sides of the trapezium
h = height of the trapezium.
As shown in the figure,
AB and CD are parallel
Therefore, we can say that;
a = AB
b = CD
Also, from the figure,
The height of the trapezium is BP
Therefore, we can say that;
h = BP
We know that;
a = AB = 4cm
b = CD = 25cm
h = BP = 7cm
Substitute these values of a, b and h into equation (i) as follows;
A = [tex]\frac{1}{2}[/tex] x (4 + 25) x 7
A = [tex]\frac{1}{2}[/tex] x (29) x 7
A = 101.5
Therefore, the area of the trapezium is 101.5cm²