Answer:
[tex]16^\circ, 88^\circ, 76^\circ[/tex]
Step-by-step explanation:
Given a triangle.
One of the angles is [tex]8^\circ[/tex] more than 5 times of one angle.
Third angle is [tex]4^\circ[/tex] more than the difference of two angles.
To find:
The angles.
Solution:
Let the first angle = [tex]x^\circ[/tex]
As per question statement, second angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex]
And third angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex] - [tex]x^\circ[/tex] + [tex]4^\circ[/tex] = [tex](4x+12)^\circ[/tex]
Using triangle sum property that the sum of all the internal angles of a triangle is always equal to [tex]180^\circ[/tex].
[tex]x+5x+8+4x+12 = 180\\\Rightarrow 10x+20=180\\\Rightarrow 10x = 160\\\Rightarrow x = 16[/tex]
Therefore, the first angle = [tex]x^\circ = 16^\circ[/tex]
The second angle = [tex]5x+8 = 5 \times 16 + 8 = 80+8 = 88^\circ[/tex]
The third angle = [tex]4x+12 = 4\times 16 + 12 = 76^\circ[/tex]
Therefore, the angles are [tex]16^\circ, 88^\circ, 76^\circ[/tex].
Evaluate -31-8+31−31−8+31minus, 31, minus, 8, plus, 31.
Answer:
-24
Step-by-step explanation:
Donny has $40 saved in his savings account and wants to earn more. He begins babysitting for the neighbors and gets paid $15 per hour. He seves all of his earnings 150 136 120 a Create a graph to show his total money saved from when he started through 10 hours of babysitting money saved (dollars) b. What is the slope of the ine? 88888889 c. What does the slope meen in this situation? 5 6 7 8 9 üme babysitting (hours) d. At what point does the Ine cross the vertical () ats? e. What does the vertical intercept mean in this situaton?
Answer:
a.) since he already has 40 in his savings account, start the line at (0,40) on the y-axis and then go up 15 every hour
b.) 15 or 15/1
c.) for each hour Donny spends working, the amount of money he has go up by 15
d.) (0,40)
e.) the vertical intercept or (y-intercept) is (0,40) because this is how much money Donny already has in savings
if anyone answer this question correctly will get 100 points and a marked brainllest at 1:02 just add me and answer below and its yours.
Answer:
okk thanks for free points
.............
Answer:
1. -2
2. -3
3.
a. 155x+375 >= 900
b. x>=3.38709677. or technically >=4 because you get payed at the end of a week?
Step-by-step explanation:
1. (y-y)/)x-x)
2. same thing
3 a. 155 is the rate, 375 is the starting value
b. subtract 375, divide by 155
need help asp pls The 8 students in Mrs. Howard's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
14, 11, 16, 10, 6, 5, 5, 7
Answer:
what's the question thougu
Kristin conducted an experiment in her science class to see how water drained from a contamer The given graph shows the data
that Kristin collected as a function of the height of the water over time
Krisin's two most accurately plotted points for the rate of flow of the water occurred when the height of the water was
fifty-five centimeters after four seconds and when the height was twenty centimeters after fourteen seconds
Use these two data points to determine the equation for the line of best fit for Krisin's experiment
Answer:
y = -3.5x + 69.
Step-by-step explanation:
If a triangle has three sides with the lengths 20, 16, and 12, what are the angles?
Answer:
angle a = 53.13°
angle b = 36.87°
angle c = 90°
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculates ∠A, ∠B, ∠C based on given a, b and c.
∠A = arccos( b2 + c2 - a2 2bc )
= 0.9273 rad = 53.13° = 53.13°
∠B = arccos(a2 + c2 - b2 2ac )
= 0.6435 rad = 36.87° = 36.87°
∠C = arccos(a2 + b2 - c2 2ab )
= 1.5708 rad = π/2 = 90°
A box without cover is to be constructed from a rectangular cardboard measuring 6 cm by 10 cm by cutting out four square corners of length x cm. Let V represent the volume of the box. Express the volume V of the box in terms of x, writing the equation in factored form.
Answer:
60xcm^3
Step-by-step explanation:
6 times 10 times x
60x
In the diagram the length of segment VS is 39 units what is the length of segment TV
Answer:
33
Step-by-step explanation:
Answer: B. 38
Step-by-step explanation:
Got it right, Edge 2022.
mark my qustions brainly pleaseeeeeeeeeeeeeeeeeeeee
Answer:
what do you mean
Step-by-step explanation:
Use the figure at the right to answer questions 9-12.
Answer:
9.) 5x - 18 = 4x + 7 10.) x = 25 11.) m∠MNQ = 107° 12.) m∠MNR = 73°
Step-by-step explanation:
9. & 10.)
∠MNQ and ∠RNP are vertical angles meaning they are equivalent to each other. Knowing that, we can set their values equal to each other and solve for x.
5x - 18 = 4x + 7 (Given)
x - 18 = 7 (Subtract 4x on both sides)
x = 25 (Add 18 on both sides)
Therefore, we know the equation is 5x - 18 = 4x + 7 and we know that x = 25.
Now we can solve for the angles.
11.)
5(25) - 18
125 - 18 = 107
Therefore, m∠MNQ = 107°.
12.)
∠MNR and ∠MNQ are supplementary angles meaning their angles will add up to 180°
∠MNR + 107 = 180
∠MNR = 73
Therefore, m∠MNR = 73°.
Pls help!!! Pls and thank you!! So much
Answer:
I solved it for u!
Hope it helps
Step-by-step explanation:
Another way, it an isosceles triangle so the base will be same, so angle 3 and angle 1 will be same after u find angle 3, then angle 1 will be equal to it
So here angle 3 = 64°
So angle 1= 64°
Find the value of x in the isosceles triangle
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
That is a question about triangles.
In my answer I will show 2 ways to solve that question, ok? Let's go.
First way - Pythagoras's theoremThe line segment x divide the biggest triangle in 2 equals right triangles.
Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.
The Pythagoras's theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:
[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]
Therefore, the value of x is [tex]4\sqrt{3}[/tex].
Second way - The equilateral triangle heightThat way to solve the question is a consequence of the previous way.
That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:
[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]
h is the height and S is the triangle's side.
So, we know that the side of our triangle is 8. Let's change S value in the expression:
[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]
Thus, the value of x is [tex]4\sqrt{3}[/tex].
Note that in the 2 ways we find the same result, so that answer is correct.
I hope I've helped. :D
Enjoy your studies! \o/
Please help me answer this
Answer: 7/8
10-2/12-4= 7/8
Step-by-step explanation:
Answer:
the answer might be number 3
last one! Please help me !!
Answer:
1.) A 2.) B
Step-by-step explanation:
Formula: a^2+b^2=c^2
4^2+3^2=5^2
Proof:
4^2=16
3^2=9
9+16=25
5^2=25
what is the y-intercept for f(x)=x2-8x+15
Answer:
(0, 15)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationThe y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
Step 1: Define
f(x) = x² - 8x + 15
Step 2: Find y-intercept
Substitute x = 0: f(0) = 0² - 8(0) + 15Exponents: f(0) = 0 - 8(0) + 15Multiply: f(0) = 0 + 15Add: f(0) = 15Rewrite: (0, 15)The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-3)°
(x+9)°
Answer:
14
Step-by-step explanation:
5x-3+ x+9 + 90= 180
6x+ 96=180
6x=180-96
6x=84
x=84/6
x=14
I need help solving this practice question
Answer:
B
Step-by-step explanation:
SAS congruence means that an the concruent angle is found between the two congruent sides. To prove this, IJ and ST must be congruent (so that the angle is between the sides)
Plz help it due In 20 mins
Answer:
Slope of line A= -1/3
B=-1
C= -5/4
Step-by-step explanation:
Use: slope m= y-y1/ x-x1
Kimberly and Emily went to lunch at
their favorite restaurant. Kimberly has a
$5 off coupon to use for her purchase of
$30. Emily has a 10% off coupon to use
for her purchase of $25. What is the
difference between the total amount
Kimberly and Emily will pay individually?
what is the answer for 2/3 z = -6
Answer:
z=−9
Step-by-step explanation:
Let's solve your equation step-by-step.
2/3z =−6
Step 1: Multiply both sides by 3/2.
(3/2)*(2/3z)=(3/2)*(−6)
z=−9
plz give brainlyest
Shasta is going to her best friend's house for dinner. Her mother says she needs to be back in 2 and a half hours. If she leaves at 5:00 pm, what time will she be back?
Answer:
It would be 7:30 pm
Step-by-step explanation:
22 lb/day ≈ ____________ oz/h
Answer:
there are 16 ounces in a pound and 24 hours in a day.
22*16= 352oz/day
352/24 = 14.66666 oz/h
i would round up because it has the about symbol. so your answer is:
15 oz/h
Step-by-step explanation:
i multiplied 22 by 16 to find out how many ounces were in 22 pounds.
i divided 352 by 24 because there's 24 hours in a day and i needed how many ounces for one hour.
Answer:
122 oz a day is the aswer
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a total of 20 girls.
How many boys are in each grade?
Answer:
12 boys
Step-by-step explanation:
I believe the answer is 12 boys. I hope this helps!
can I please have some help
Step-by-step explanation:
6.-3
8.-36
10.11
make it braintliest please
Answer:
6) q = -3
8) d = -4
10) y = 10
Step-by-step explanation:
6) -7q = 21
divide by -7 on both sides
q = -3
8) -1/3d = 12
divide both sides by -1/3
d = -4
10) -88 = -8y
divide both sides by -8
10 = y
or
y = 10
PLEASE HELP THANKS!!!
Answer:
235
Step-by-step explanation:
area of one square=
180
area of other square=
11 times 5 =55
55+180=235
please mark be as brainliest
Answer:
[tex]a=20cm\\b=14cm[/tex]
[tex]a_{1} =11cm\\a_{2}=a-a_{1} =20cm-11cm=9cm\\[/tex]
[tex]b_{1} =9cm\\b_{2}=b-b_{1}=14cm-9cm=5cm[/tex]
[tex]S=S_{1} +S_{2} =154cm^{2}+81cm^{2}=235cm^{2}\\S_{1}=a_{1} *b=11cm*14cm=154cm^{2} \\S_{2} =a_{2} *b_{1} =9cm*9cm=81cm^{2}[/tex]
[tex]S=235cm^{2}[/tex]
Please help I don’t understand
Answer:
Step-by-step explanation:
so many isosceles triangles
y = 4 .. just by inspection.. we can see
SOH CAH TOA <= ask me about this if you don't get it
Cos(x) = Adj / Hyp
we don't know the Hyp this time so solve for that
Hyp = Adj / Cos(x)
Hyp = 4 / Cos(45)
Hyp = 4 / [tex]\sqrt{2}/2[/tex]
maybe you know.. but i'll just remind you to bring the fraction up from the denominator... invert and multiply
Hyp = 4 * 2/[tex]\sqrt{2}[/tex]
Hyp = 8/ [tex]\sqrt{2}[/tex]
also we are supposed to write as a decimal rounded to the nearest 10th
Hyp = 5.66
Someone please do this!
Answer:
£518.42
Step-by-step explanation:
Which description best Fitz the graph?
PLS HELP ME NEED THIS ASAP
Answer: always decreasing
Step-by-step explanation:
Since it goes down without going back up it is always decreasing
I need help again pls.
Answer:
4/3
Step-by-step explanation:
sohcahtoa
tan = opposite/adjacent
tanX = 32/24 = 4/3
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)
Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.
Answer:
again i can not see the given point
Step-by-step explanation:
