157/5....................
Find the value of x in the triangle shown below.
a)=5
b)x=\/7
c)x = 7
d)x = 25
please help me to solve problems
Step-by-step explanation:
4a)
the principle of similar triangles : they have the same angles.
and we do not forget : the sum of all angles in a triangle is always 180 degrees.
a = 180 - 65 - 45 = 70 degrees
b = 65 degrees
c = 70 degrees
b)
same principles.
x = 58 degrees
y = 52 degrees
z = 180 - 58 - 52 = 70 degrees
c)
same principles.
plus the fact that complementary angles around a point on one side of a line are also together 180 degrees.
x = 85 degrees
y = 180 - 40 - 85 = 55 degrees
z = 180 - 85 = 95 degrees
d)
again same principles.
y = 2x (as these 2 angles correspond to each other among the 2 similar triangles).
the angle POQ is again complementary with 87 degrees,
POQ = 180 - 87 = 93 degrees
x + y + 93 = x + 2x + 93 = 180
3x = 87
x = 29 degrees
y = 2x = 2×29 = 58 degrees
please solve fast it's urgent
Answer:
∅=30°
Step-by-step explanation:
[tex]sin[/tex]∅[tex]=\frac{1}{\sqrt{3} }sin60^{0}[/tex]
sin∅=[tex]\frac{\frac{\sqrt{3} }{2} }{\sqrt{3} } =\frac{\sqrt{3} }{2\sqrt{3} }=\frac{1}{2}[/tex]
∅=[tex]sin^{-1}(\frac{1}{2})= 30^{0}[/tex]
I hope this help you
Find m Give explanation please
Answer:
m < FGN = 88°
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles (also known as remote interior angles).
Given the exterior angle, m <FGN = (7x + 18)°, and the two remote interior angles, m < E = 38° and m < F = (6x - 10)°:
The following equality statement can be established according to the exterior angle theorem:
m < E + m < F = m <FGN
38 + 6x - 10 = 7x + 18
Combine like terms:
28 + 6x = 7x + 18
Subtract 6x from both sides:
28 + 6x - 6x = 7x - 6x + 18
28 = x + 18
Subtract 18 from both sides:
28 - 18 = x + 18 - 18
10 = x
Next, substitute the value of x = 10 into the equality statement to determine whether it is the correct value of x, and to find the measures of < FGE and < F.
m < E + m < F = m <FGN
38° + (6x - 10)° = (7x + 18)°
38 + 6(10) - 10 = 7(10) + 18
38 + 60 - 10 = 70 + 18
88 = 88 (True statement).
Therefore, m < FGN = 88°
Denzel identified (3,2) as a point on the line y-2 = 2/3 (x+ 3). What is the error Denzel made?
Hi there!
»»————- ★ ————-««
I believe your answer is:
He identified the incorrect x-value.
See explanation below.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{General Point-Slope Form is:}\\\\y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\\(x_1,y_1) -\text{A point that is given.}\\\\m -\text{Slope}[/tex]
⸻⸻⸻⸻
Denzel incorrectly identified the x-value of the given point. The value '-3' is actually indicated in the equation. If you plug in '-3' into the equation, you would get '-(-3)', which simplifies to '+3'.⸻⸻⸻⸻
[tex]y-2 = \frac{2}{3} (x-x_1)\rightarrow y-2 = \frac{2}{3} (x-(-3))\rightarrow y-2=\frac{2}{3} (x+3)[/tex]
⸻⸻⸻⸻
The point in the equation should be: (-3, 2).
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The correct points of the line will be (-3,2).
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the point (3,2) is on the line y-2 = 2/3(x+ 3). Satisfy the equation with the given point and check.
y-2 = 2/3(x+ 3)
2-2 = (2/3)(3 + 3)
0 = 4
To make left hand side and right hand side equal the value of x coordinate should be -3.
y-2 = 2/3(x+ 3)
2-2 = (2/3)(3 + 3)
0 = 0
Therefore, the correct points of the line will be (-3,2).
To know more about an equation of the line follow
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f(x) = -x^2-3x
find f (10)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
f*(x)-(-x^2-3*x)=0
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
fx + x2 + 3x = x • (f + x + 3)
Equation at the end of step
2
:
x • (f + x + 3) = 0
STEP
3
:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : x = 0
Solution is x = 0
Equation of a Straight Line
3.3 Solve f+x+3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line f+x+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000
f-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000
x-intercept = -3/1 = -3.00000
Calculate the Slope :
Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -2.000/2.000 = -1.000
Geometric figure: Straight Line
Slope = -2.000/2.000 = -1.000
x-intercept = -3/1 = -3.00000
f-intercept = -3/1 = -3.00000
x = 0
answer this pleaseeeeee ill give brainliest What is an equation of the line that passes through the points (-6, 3) and (-5, 2)?
Answer:
y-3=-1(x+6)
Step-by-step explanation:
I gotchu
brainliest tho?
What is the product?
(3x-6)(2x2-7x+1)
0 -12x2+42x-6
0-12X2 +21x+6
6x3-33x2+45x-6
O 6x3 - 27x2-39x+6
Answer6x3-33x2+45x-6
Step-by-step explanation:
The product of polynomials is 6x³-33x²+45x-6. Therefore, option C is the correct answer.
What is product of polynomials?To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.
Given that, (3x-6)(2x²-7x+1).
By using distributive property, we get
3x(2x²-7x+1)-6(2x²-7x+1)
= 6x³-21x²+3x-12x²+42x-6
= 6x³-21x²-12x²+3x+42x-6
= 6x³-33x²+45x-6
Therefore, option C is the correct answer.
To learn more about the product of polynomials visit:
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Someone help meee?
This is soo hard
Answer:
100
Step-by-step explanation:
angles CHF and EHI are congruent angles because CD is a straight line.
Therefore EHI must be 20 degrees.
angles DIG and EIH are congruent angles because CD is a straight line.
Therefore EIH must be 60 degrees.
Now that you know two of the three angles in the triangle HEI,
Total degrees in a triangle - EIH - EHI = HEI
180 - 60 - 20 = 100
Given below is an equation of a parabola. What are the coordinates of the vertex?
y = (x + 2)^2
a (–2, 0)
b (2, –2)
c (–2, 2)
d (2, 0)
The expression -7y is a
a. term
b. variable
c. constant
Answer:
the answer is a) term
Step-by-step explanation:
hope this helps! :)
brainliest?
4. Andrew likes to solve puzzles.
It took him 4.5 minutes to complete one puzzle with 18 numbers.
It took him 6 minutes and 24 seconds to complete a different puzzle with 32 numbers.
a
For each puzzle work out how many seconds it took Andrew to complete one number.
b
Use your answer to part a to decide which puzzle Andrew completed faster.
Answer:
Step-by-step explanation:
Andrew likes to solve puzzles.
It took him 4.5 minutes to complete one puzzle with 18 numbers.
It took him 6 minutes and 24 seconds to complete a different puzzle with 32 numbers.
a For each puzzle work out how many seconds it took Andrew to complete one number.
b Use your answer to part a to decide which puzzle Andrew completed faster.
Como aser conjuntos
No entiendo cuál es la pregunta, ¿qué son los conjuntos? si es la respuesta es ........
En matemáticas, un conjunto es una colección de elementos. Los elementos que componen un conjunto pueden ser cualquier tipo de objeto matemático: números, símbolos, puntos en el espacio, líneas, otras formas geométricas, variables o incluso otros conjuntos. El conjunto sin elemento es el conjunto vacío; un conjunto con un solo elemento es un singleton.
Write −1.5⎯⎯ as a mixed number in the simplest form.
Answer:
1 1/2
Step-by-step explanation:
to Express 1.5 as a fraction,we need to write the given decimal number in the x/y form, where c and y are the positive integers
What is the slope of a line that is perpendicular
to a line with a slope of -⅓
Answer:
3/1, or 3
Step-by-step explanation:
When you have a perpendicular line, if it is a negative, you take away the negative, and if it is a fraction, you turn it upside down. 1/3 becomes 3/1.
Is the following equation true sometimes, always, or never?
(x-y)^2-2xy+y^2
Answer:
True
Step-by-step explanation:
least common denominator between the fractions 1/3 and 2/8
Answer:
LCD 1
Step-by-step explanation:
Answer:
I believe the LCD is 24.
Step-by-step explanation:
Please Help Me
The ratio of the number of combinations (2n+2) of different objects taken n at a time to the number of combinations of (2n-2) of different objects taken n at a time is 99:7. Find the value of n.
The expected value of n is 1.152
The question states that ratio of 2n+2 and 2n-2 = 99:7. This means that
2n+2:2n-2 = 99:7, this also means that
[tex]\frac{2n+2}{2n-2}[/tex] = [tex]\frac{99}{7}[/tex]
If that is so, we can cross multiply so that
99 * (2n - 2) = 7 * (2n + 2), on expanding the bracket, we have
198n - 198 = 14n + 14
198n - 14n = 14 + 198
184n = 212, dividing both sides by 184, we have
n = 212/184
n = 1.152
Therefore, the value of n is 1.152
Read more here https://brainly.com/question/11018135
Perform the operation. Enter your answer in scientific notation.
9 x 10^*8-5.3 x 10^*8=
Answer:
Not a possible math equation, sorry.
How do you solve y=3x²-6x-1 using completing the square?
8 to the second power.(2+6) divided by 4=
The value of given numerical expression is 128.
The given numerical expression is [8²×(2+6)]/4.
What is the exponent?Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
Now, the given expression can be solved as follows:
[8²×(2+6)]/4
= (64×8)/4
= 64×2
= 128
Therefore, the value of given numerical expression is 128.
To learn more about the exponents visit:
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Please help me in this:
Answer:
;sjjdje
Step-by-step explanation:
4djdeje
Hmingsanga sells a washing machine for Rs 13,500. He loses 20% in the bargain. What was the price at wich he bought it?
Answer:
10800
Step-by-step explanation:
Answer:
9220 Yan na ang true answer
help ill give brainly
Answer:
The answer would be 26%
Step-by-step explanation:
Answer:27
i think that 27 is the answer
A rental car agency charges $240 per week plus 0.25 per miles to my car how many miles can you travel in one week for 432.50
In a classroom,
1/6
of the students are wearing blue shirts, and
2/3
are wearing white shirts. There are 12 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts
Answer:
There’s 2 students not wearing blue or white shirts.
Step-by-step explanation:
solve equation s - 12= 20. s=?
Answer:
s = 32
Step-by-step explanation:
We have our equation:
s - 12 = 20
And we are trying to find s. Therefore, we can isolate the variable s, which means we have to move all the values from the variables side to the other side, like so:
s - 12 = 20
+12 +12 (we add 12 to both sides in order to cancel out the -12, and also because whatever we do to one side, you have to do to the other!)
So, now our equation will look like this:
s = 20 + 12,
or,
s = 32
Which happens to be our answer!
Hope this helps :)
Mathematics Ratio
Help plz
Answer:
480
Step-by-step explanation:
Check out the solution
if tanA/2=4/3, find The value of sinA, cosA
given :- tanA=4/3
we already know that tanA=P/B
From Pythagorean theorem we get..
H²=P²+B²
H²=4²+3²
H²=16+9
H²=25
H²=5²
H=5
SinA=P/H
CosA=B/H
from that
SinA= 4/5
CosA=3/5
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Answer:
wheeeeeeeeeeeeere is theeeeeeeeeeee queeeeeeeeeestion?