A triangle’s three angles sums up to 180 degrees. So the first thing you should do is subtract 50 from 180
180 - 50 = 130
Since it’s an isosceles triangle, ∠A and ∠B are of equal size. So we divide the result, 130, by two. This would give us the m∠A, which is 65.
130/2 = 65
8. Write the equation of the line in slope-intercept form that has:
points: (3, 5) and (-1,-3)
Answer:
Step-by-step explanation:
y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.
A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.
Vertical difference “y” = y 2 – y 1 = − 5 – 1 = − 6
Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1
Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6 for the slope, m.
A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.
1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b
Thus the final equation is y = − 6 ⋅ x − 17
We then check this by substituting the other known point into the equation:
− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5
 Use trigonometric identities to solve each equation within the given domain
sec(x) cos(3x) = 0 from [- x /2 , x /2]
Answer:
Either [tex]x = (-\pi / 6)[/tex] or [tex]x = (\pi / 6)[/tex].
Step-by-step explanation:
Angle sum identity for cosine:
[tex]\cos(a + b) = \cos(a)\, \cos(b) - \sin(a) \, \sin(b)[/tex].
Double-angle identity for cosine and sine:
[tex]\begin{aligned}& \cos(2\, a)\\ &= \cos^{2}(a) - \sin^{2} (a) \\ &= (\cos^{2}(a) + \sin^{2}(a) - 2\, \sin^{2}(a) \\ &= 1 - 2\, \sin^{2}(a)\end{aligned}[/tex].
[tex]\sin(2\, a) = 2\, \cos(a) \, \sin(a)[/tex].
The secant of an angle is the inverse reciprocal of the cosine of that angle:
[tex]\displaystyle \text{$\sec(x) = \frac{1}{\cos(x)}$ if $\cos(x) \ne 0$}[/tex].
Apply these identities to rewrite the left-hand side of the equation.
[tex]\begin{aligned} & \sec(x) \, \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot (\cos(x)\, \cos(2\, x) - \sin(x)\, \sin(2\, x)) \\ =\; &\cos(2\, x) \\ & - \frac{1}{\cos(x)} \cdot (\sin(x)\, \sin(2\, x)) \\ =\; & \cos(2\, x)\\ & - \frac{1}{\cos(x)} \cdot (\sin(x) \cdot (2\, \sin(x)\, \cos(x))) \\ =\; & \cos(2\, x) - 2\, \sin^{2}(x) \\ =\; & (1 - 2\, \sin^{2}(x)) - 2\, \sin^{2}(x) \\ =\; &1 - 4\, \sin^{2}(x) \end{aligned}[/tex].
Solve the rewritten equation:
[tex]\displaystyle \sin^{2}(x) = \frac{1}{4}[/tex].
Either [tex]\sin(x) = (1/2)[/tex] or [tex]\sin(x) = (-1/2)[/tex].
The question required that [tex](-\pi / 2) \le x \le (\pi / 2)[/tex]. The sine function is one-to-one over this range. In other words, for each [tex]y[/tex] between [tex](-1)[/tex] and [tex]1[/tex], there is exactly one [tex]x[/tex] between [tex](-\pi / 2)[/tex] and [tex](\pi / 2)[/tex] such that [tex]\sin(x) = y[/tex].
If [tex]\sin(x) = (-1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (-\pi / 6)[/tex].
Otherwise, if [tex]\sin(x) = (1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (\pi / 6)[/tex],
Verify that [tex]\cos(x) \ne 0[/tex] for either of the two [tex]x[/tex] values, such that the [tex]\sec(x)[/tex] in the original equation takes a real value.
pls answer asap and correctly
Answer:
B
Step-by-step explanation:
Squares can not be rectangles, Rectangles always have 2 parallel line was longer or shorter then another two but squares' 4 line will always be the same length
3x/2x simplified into racio
Answer:
Simplify the expression.
3x2/2
hope this makes sense lol
Step-by-step explanation:
Answer:
1.5 : 1 (or) 3/2
Step-by-step explanation:
Given expression,
→ 3x/2x
Let's simplify the expression,
→ 3x/2x
→ (3 ÷ 2)(x ÷ x)
→ (1.5)(1)
→ 1.5
Now the required ratio will be,
→ 3 : 2
→ 1.5 : 1
Hence, required ratio is 1.5 : 1.
Write a statement and reason proof.
Answer:
l want to do all your math
Answer:
<XPE = <ENY
Step-by-step explanation:
<1=<2 (GIVEN)
SO <3+<4= <5+<6
<3=<4 (PE Bisects <APN)
<5=<6 (EN bisects <ANP)
so <3=<5
than <XPE=< ENY
how do I do 1. e) PLEASE HELP I’LL GIVE BRAINEST
Answer:
5/6, 6/7, 7/8
Step-by-step explanation:
The numerators are going up by 1 and so are the denominators, just add 1 to each in the next one in the sequence.
Hope that helps
Someone, please help my teacher doesn't want to help me and ugh I'm frustrated. Any help would be great!
Answer:
my brother said it is 5 and 10... but i do not know if it is
please help me with math
Answer:
Hope this helps
Step-by-step explanation:
49000000 -8373448588766
answer:
-8.3733995^12
Giving brainlyest if your answer is right
Answer:
-147 because -21x7 equals -147
Step-by-step explanation:
Find the value of x, and please explain how you got x
Where did we get one?
Answer:
The -1 came from factoring.
The equation is multiplied by 8 because 8 could be pulled from 16x-8.
16 can be divided by 8 2 times and 8 can only divided by 8 once.
so factoring it makes the equation 8(2x-1)
Bonjour, Est-ce que quelqu'un peut m'aider à faire ce devoir. tellement apprécié :)
Step-by-step explanation:
gud eve.
good nigth
ilove you
what is the slope-intercept form of the liner equation 2x + 3y = 6?
x, y, -6, -3, -1,
[tex]\ - \frac{3}{2} [/tex]
[tex]\ - \frac{2}{3} [/tex]
2, 3, 6, +, -, =,
Answer: [tex]y = -\frac{2}{3}x+2[/tex]
Check out the diagram below.
======================================================
Work Shown:
[tex]2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\[/tex]
The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.
The last equation is in [tex]y = mx+b[/tex] form with [tex]m = -\frac{2}{3}[/tex] as the slope and [tex]b = 2[/tex] as the y intercept.
What is m if 14 + 9m = -13
Answer:
-3m
Step-by-step explanation:
everyone knows we should take the unknown letter to a one side and numbers to another side.
so first ;
9m + 14 = -13
9m = -13 - 14
9m =-27
9m/9 = -27 / 9
m = -3
-3 is the finale answer
In Math, the word dilate means to make a figure
Answer:
False
Step-by-step explanation:
in math, dilate means changing the size of an object without changing its shape
Have a good day, sorry if I'm wrong:)
(if I am wrong, plz tell me<3)
can i get help for number 3???!?! please!!
Answer:
1.) 40 degrees
2.) 75 degrees
3.) 105 degrees
4.) 140 degrees
Step-by-step explanation:
Straight lines are = 180 degrees. Each of the angles you must solve have a given exterior angle. All you have to do is subtract the exterior angle from 180 to find the interior angle
1.) angle = 180-140
2.) angle = 180-105
3.) angle = 180-75
4.) angle = 180-40
Answer:
Measure of angle 1 is: 40 degrees
Measure of angle 2 is: 75 degrees
Measure of angle 3 is: 105 degrees
Measure of angle 4 is: 140 degrees
Step-by-step explanation:
Each of these angles is supplementary, meaning it adds up to 180 degrees,Thus, we can just subtract the measurement given from 180 to get our angle's measurement :)
Alex wrote the expanded form for the number 165.038 as “100 + 60 + 5 + 30 + 8.” Was he correct? If not, give the correct expanded form. P.S I really need the answer asap!
Answer:
no he is not correct.
the correct expanded form: 100+60+5+0.0+0.30+0.008
Step-by-step explanation:
Hope this helps also i learned about this r u in 5th grade
Alex's expanded form for the number 165.038 is not correct. The correct expanded form for the number 165.038 is 100 + 60 + 5 + 0.03 + 0.008.
The number 165.038 can be broken down into its individual place values:
Hundreds: 100
Tens: 60 (6 tens)
Ones: 5
Tenths: 0.03 (3 hundredths)
Hundredths: 0.008 (8 thousandths)
So, the correct expanded form for the number 165.038 is:
100 + 60 + 5 + 0.03 + 0.008
Hence, Alex's expanded form for the number 165.038 is incorrect. The correct expanded form is: 100 + 60 + 5 + 0.03 + 0.008.
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136 is 0.8% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 136, slightly less than 136, slightly greater than 136, or a lot greater than 136? Explain.
whats the solution of 4-|x| = 1
Answer:
Well, x=3, -3
Step-by-step explanation:
If you use a calculator you'll easily be able to figure this out.
Answer:
x = -3 or x = 3
Step-by-step explanation:
4 - |x| = 1
Subtract 4 from both sides:
4 - 4 - |x| = 1 - 4
- |x| = -3
Divide both sides by -1:
[tex]\frac{-|x|}{-1} = \frac{-3}{-1}[/tex]
x = -3 or x = 3
LOOK AT PICURE!! WHOEVER IS CORRECT I WILL MARK BRAINIEST!!
Answer:
This angle is not a right angle from what it looks like, but this angle if you turn it sideways, angle JKN should be a little more than 90 which classifies it as an obtuse angle.
120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]
Answer:
115.248
Step-by-step explanation:
120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]
120−96×[5 ÷ {23 − 3 × (-26)}]
120−96×[5 ÷ {101}]
120−96×[0.0495]
115.248
Just remember PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Correct answer gets Brainly !!
Answer: X=5
Step-by-step explanation: Because if you subtract 10-(-5) it = 5
Which of the following represents an equation in standard form for the line that passes through (3, −1) and (−5, −3).
Answer:
y = ¼x + (-7/4)Step-by-step explanation:
find the gradient ( M)
M = y2- y1 ÷ x2-x1
M= -3 - (-1)÷(-5)-3 = ¼
thefind C in the equation (y=mx+c)
C = y-mx ( C = -1-¼(3)= -7/4(use in y and x values provided)
now replace the values you find in the equation (y=Mx+C)
final answer is
y = ¼x+(-7/4)y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)
What is Slope intercept form?y=mx=c is the slope intercept form of a line, m is the slope.
We need to find equation of line passing through (3, −1) and (−5, −3)
First we need to calculate slope 'm'.
slope m = y2- y1 / x2-x1
y2=-3, y1=-1, x2=-5, x1=3
m= -3 - (-1)/(-5)-3 = -2/-8=1/4
Equation of line, y=mx+c
find C in the equation (y=mx+c)
C = y-mx
C = -1-1/4(3)= -7/4
now replace the values you find in the equation (y=Mx+C)
y =1/4x-7/4
Hence y =1/4x-7/4 is the equation of line passes through (3, −1) and (−5, −3).
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make p the subject of t=p+m/p-m
Answer:
t=9+m/9-m
Step-by-step explanation:
May I please receive help?
Answer:
m<2 = 94°
Step-by-step explanation:
just have to subtract 132-39=94
Mrs. Perciballi went to the LOFT for a sale and spent $40 on a dress and bought 3 shirts of equal value. Her purchases totaled $115. Define a variable, then write and solve an equation to find how much each shirt cost.
Answer:
Variable- an unknown number
Each shirt is 25$
Step-by-step explanation:
P (Price)
S (Shirt)
F) p=40+3s
S) 115=40+3s, 115-40=3s, 75=3s
E) s=25
Ben said: For every $60 the sixth graders plan to raise, the seventh graders
plan to raise $90. He looks at the principal's thermometers and sees that
$60 is at the same place on the sixth-grade thermometer as $90 is on
the seventh-grade thermometer.
Ben also makes the claim: For every $30 the sixth graders plan to raise,
the seventh graders plan to raise $45.
Do you agree with this claim? Explain your reasoning.
Answer:
yes
Step-by-step explanation:
for every 60 is 90 right so if you take 30 ( half of 60) how much are the 7th graders gonna raise half of 90 is 45 (may I please have brainliest I need it to rank up)
Need Help Now Do not Wait need help with all will give 20 points!!!!!!!!!!!!!!
Step-by-step explanation:
the equation of the line simplify your answer type using integers are fraction indication points are the graph this is that what is the answer is
Free 10 pointss oh:>
Answer:
oh it's 5 not 10 xD
The hazard management process consists of a number of activities designed to reduce loss of life and destruction of property. Natural hazard management has often been conducted independently of development planning. A distinctive feature of OAS technical assistance is the integration of the two processes.
Step-by-step explanation:
plz mark me as brainliest
have a great day