Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
The angles in a triangle add up to 180 degrees.
The middle angle is 52 degrees
Let the largest, middle angle and the smallest angle be x, y and z
From the question, we have:
[tex]\mathbf{x = 3z -32}[/tex]
[tex]\mathbf{y = 8 + \frac 12x}[/tex]
Make z in [tex]\mathbf{x = 3z -32}[/tex]
[tex]\mathbf{z =\frac{x + 32}{3}}[/tex]
The angles in a triangle add up to 180 degrees.
So, we have:
[tex]\mathbf{x + y + z = 180}[/tex]
Substitute the expressions for y and z in [tex]\mathbf{x + y + z = 180}[/tex]
[tex]\mathbf{x + 8 + \frac 12x + \frac{x+32}{3} = 180}[/tex]
Multiply through by 6
[tex]\mathbf{6x + 3x + 48 + 2(x+32) = 1080}[/tex]
[tex]\mathbf{9x + 48 + 2(x+32) = 1080}[/tex]
Open brackets
[tex]\mathbf{9x + 48 + 2x + 64 = 1080}[/tex]
Evaluate like terms
[tex]\mathbf{11x + 112 = 1080}[/tex]
Subtract 112 from both sides
[tex]\mathbf{11x = 968}[/tex]
Divide both sides by 11
[tex]\mathbf{x = 88}[/tex]
Substitute 88 for x in [tex]\mathbf{y = 8 + \frac 12x}[/tex]
[tex]\mathbf{y = 8 + \frac{88}2}[/tex]
[tex]\mathbf{y = 8 + 44}[/tex]
[tex]\mathbf{y = 52^o}[/tex]
Hence, the middle angle is 52 degrees
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I feel like it's A but i don't know to be honest.
Answer:
I agree that the answer is A
Step-by-step explanation:
PLEASE HELP!!! WILL GIVE BRAINLIEST
Answer:
16
Step-by-step explanation:
18+6=24
24-7=16
Evaluate. Hint: Use the image to help break 7 X 4 up into two expressions. 4 11 ? ? + (2 x 4)
hey, please be more descriptive or be in detail for your answer to get properly answered. Have a good day!
Solve for x, y, and a.
Answer:
Step-by-step explanation:
x = 55
y = 60
a = 14
did it in my copy but it took too long to upload so i gave up. sry
tyler's brother earns $12 per hour. the store offers him a raise -a 5% increase per hour . after the raise how much will tyler's brother make per hour
Answer:
12.50
Step-by-step explanation:
What's the domain of this function graph?
A) (-♾, 0)
B) (0,♾)
C) (-♾,♾)
D) (1,♾)
Answer:
b) (0,infinity)
Step-by-step explanation:
You can look at the graph and see it starts when x=1, and continues forever in the positive direction.
N + 7 < -3 HELPSSS please solve this
Answer:
n is smaller than -10 so it could be -10, -11, -12 etc.
Step-by-step explanation:
Answer:
n < -10
Step-by-step explanation:
Step 1: Subtract 7 from both sides.
n+7−7<−3−7, we are left with n<-10
n<−10
The area of the base of a rectangular prism is 24 square centimeters and the height is 12 centimeters. What is the volume of the rectangular prism in cubic centimeters?
Answer:
V = 288 cm³
Step-by-step explanation:
Given that,
The area of the base of a rectangular prism is 24 square centimeters and the height is 12 centimeters.
We need to find the volume of the rectangular prism. For a rectangular prism, the volume is given by :
V = lbh
Since, lb = A, area of the prism
V = Ah
V = 24 × 12
= 288 cm³
So, the volume of the rectangular prism is 288 cm³.
A colony of amoebas is being studied. The mass of the
colony triples every day. On Day x of the study, the
colony has a mass of 3^x mg.
a. What is the mass of the colony on Days 3, 2, and 1?
What is the mass of the colony on Day 0, when the
study begins? Show your work.
Answer:
Multiply the start amount of the insects by 3 and then by the amount of days
Mr. Boyd completed a 3.19 mile walk/ run. For every 5 minutes of walking, he ran for 1.5 minutes. If he completed his workout in 48:52 minutes, how much of that time was spent running?
Answer:
He spent 11.25 minutes running
Step-by-step explanation:
Mr. Boyd completed a 3.19 mile walk/ run.
For every 5 minutes of walking, he ran for 1.5 minutes.
He completed his workout in 48.52 minutes.
Hence, we have the equation:
1.5x + 5x = 48.52 minutes
6.5x = 48.52 minutes
x = 48.52/6.5
x = 7.4646153846
Approximately = 7.5 minutes
Therefore the time spent running = 1.5 × 7.5 minutes
= 11.25 mimutes
One order of fries costs $1.90. If an order is placed for 6 orders of fries, what will the total cost of the order be? The order will cost___________ dollars.
Answer:
$11.40
Step-by-step explanation:
$1.90*6=$11.40
What is the value of this expression when a=3 and b= -2? (3a (exponent) -2 b (exponent) 6) exp. -2 ___________________________ (2a (exponent) -1 b (exponent) 5) Its all one equation!
Answer:
I looked online to find the equation well written, but i could not find it, so i will guess that the equation is:
[tex]\frac{3*a^{-2} - 2*b^{-6}*e^{-2}}{2*a^{-1}*b^{5}}[/tex]
Now we want to find the value of this equation when:
a = 3 and b = -2
So we can just replace these values in the equation, each a is replaced by a 3, and each b is replaced by a -2.
The equation becomes.
[tex]\frac{3*3^{-2} - 2*(-2)^{-6}*e^{-2}}{2*3^{-1}*(-2)^{5}} = 44.3[/tex]
Which of the following is the most likely end for a star that formed from an extremely large nebula? (2 points)
a
Black hole
b
Main sequence
c
Planetary nebula
d
White dwarf
Answer:
A black hole
Step-by-step explanation:
take my word for it it is A!
Have a fantastico day!
1) m2 = 3x - 6
120 X
2.
A) 12
C) -11
B) 10
D) 6
Answer:
A
Step-by-step explanation:
Since the 2 legs are congruent then the triangle is isosceles and therefore the base angles are congruent, that is
∠ 2 = [tex]\frac{180-120}{2}[/tex] = [tex]\frac{60}{2}[/tex] = 30° , thus
3x - 6 = 30 ( add 6 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12 → A
How do you find the markup rate?
Answer: Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage. For example, if your product costs $50 to make and the selling price is $75, then the markup percentage would be 50%.
Step-by-step explanation:
Answer:
hope this helps!
Step-by-step explanation:
Divide the amount added to the price by the amount the item costs you to buy to find the markup rate expressed as a decimal. In this example, you would divide $2 by $6 to get 0.3333. Convert the markup rate expressed as a decimal to a markup rate expressed as a percentage by multiplying it by 100.
which equation represents the same line points as the table
Answer:
y=-x,A
Step-by-step explanation:
When we input -5 in for x, we get 5
When we input 7 in for x, we get -7
Lo is leaving from work today at 5:45 p.m. She has errands to run before she meets her friends for dinner at 8 p.m. If it takes Lo of an hour to run each errand, how many errands does she have time to run between work and dinner?
3/4x = 2 1/4
A. 5
B. 3
C. 1
D. 2
Answer:
the answer is B
Step-by-step explanation:
here's why.... 2 times 4 plus 1 is 9 so ... 2 1/4 turns into 9/4 and 3 times 3 is 9 so if u place x with 3 it will be 9/4 therefore the fractions are equal.
find the x, if the three angles of an equilateral triangle are 45°, 2x+7°, 45°
Answer:
19
Step-by-step explanation:
2x+7=45
2x=38
X=19
I hope this helps
NEED HELP ASAP, I WILL GIVE BRAINLIEST
Which diagram shows the parallelogram method for vector addition?
Answer:
i believe it is c
Step-by-step explanation:
took test on edge
The second picture represents the addition of two vectors u and v by the parallelogram method for vector addition.
What is a vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
We have:
Two vectors u and v
The resultant vector will be u + v
As we know, in the parallelogram method for vector addition
We have to place two vectors at the same starting point.
Then complete the parallelogram.
The diagonal of the parallelogram represents the addition of the vector.
Thus, the second picture represents the addition of two vectors u and v by the parallelogram method for vector addition.
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Find an equation for the perpendicular bisector of the line segment whose endpoints are (-9, -1) and (3, – 7).
Answer:
y-4=1(x-6) and y= x 10
Step-by-step explanation:
Subtract 5x2 - 7x - 6 from 9x2 + 3x – 4.
what is 365+100? answer fast
Answer:
465
Step-by-step explanation:
Answer:
Step-by-step explanation:
365
+100
465
SOMEONE. PLS HELP I ASKED A QUESTION AND I'LL GIVE BRAINLIEST JUST PLS ANSWER IT
Answer:
Ok, I'll try
Step-by-step explanation:
Dora
Boots
Come on, Dora
Do-do-do-do-Dora (alright)
Do-do-do-do-Dora
Do-do-do-do-Dora
Do-do-do-do-Dora (let's go)
Dora, Dora, Dora the explorer (Dora!)
Boots and super cool Exploradora
Need your help
Grab your backpack, let's go
Jump in, ¡vámonos!
You can lead the way
Hey! Hey!
Do-d-Dora
Do-d-Dora
Do-d-Dora
Do-d-Dora
Swiper no swiping
Swiper no swiping
(Oh, man)
Dora the explorer!
Which number is greater? -|3| or |-3|
Answer:
there equal
Step-by-step explanation:
There are 6 yellow hexagons 2 red trapezoids and 9 green triangles how many flowers could you make if they were changed 30 yellow hexagons 50 red trapezoids and 60 green triangles. Which shape would you have left over the most
Answer:
a) 5 flowersb) TrapezoidStep-by-step explanation:
For one flower, the following shapes are used;
6 yellow hexagons, 2 red trapezoids and 9 green triangles
If we are given 30 yellow hexagons 50 red trapezoids and 60 green triangles, to get the number of flowers we can make, we will find the greatest common factor of 30, 50 and 60
30 = 6*5
50 = (2*5)+40
60 = (9*5)+15
We can see that 5 is common to all the factors. This means that we can make 5 flowers if they were changed to 30 yellow hexagons 50 red trapezoids and 60 green triangles.
Since there are 40 trapezoids left and 15 green triangles left, hence the shape that would have n as left over most is trapezoid (40 left over)
Which equation below so that the
8y = -40
y=22
-6x + 8y = -4
-6x + 8y = -40
COMPLETE
The solution to the system Is:
Answer:
(4 , -5)
Step-by-step explanation:
What do the properties of polynomial addition mean? Complete each statement.
The closure property states that the sum of two polynomials is a
.
The commutative property states that changing the order of two or more terms
the value of the sum.
The associative property states that the way in which two or more terms are grouped in a sum
the value.
Answer:
See below.
Step-by-step explanation:
The closure property states that the sum of two polynomials is a polynomial.
The commutative property states that changing the order of two or more terms does not change the value of the sum.
The associative property states that the way in which two or more terms are grouped in a sum does not change the value.
The blanks are filled below.
What are the properties of polynomial Addition ?
There are different properties used in the polynomial Addition , like Closure Property , Commutative Property , Distributive property
Associative property.
The closure property states that the sum of two polynomials is a polynomial.
The commutative property states that changing the order of two or more terms does not change the value of the sum.
The associative property states that the way in which two or more terms are grouped in a sum does not change the value.
To know more about polynomial addition
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please help, brainliest, five star, thanks
Answer:
-18+4
Step-by-step explanation:
try to multiply -6 into the (3x-2/3) then I guess you get the answer
Answer:
−18x+4
Step-by-step explanation:
PLEASE ANSWER ASAP ASSIGNMENT IS DUE TODAY I WILL MARK BRAINLIST!!!!!!!!!!!!
3. Write an exponential equation for each coin that will give the coin's value, V, at any time, t. Use the formula:
V(t) = P(1 + r)t, where V(t) is the value of the coin in t years, P is the initial investment, and r is the growth rate.
Coin A worth $25 and increase by 7% each year and coin B worth $40 increase by 5% each year
9514 1404 393
Answer:
V(t) = 25(1.07^t)V(t) = 40(1.05^t)Step-by-step explanation:
Put the given numbers into the given formula. It can be simplified a little bit.
Formula:
V(t) = P(1 + r)^t
Coin A
P = 25, r = .07
V(t) = 25(1.07^t)
Coin B
P = 40, r = 0.05
V(t) = 40(1.05^t)
A snail travels 10 cm in 4 minutes. At this rate: How long will it take the snail to travel 24 cm? minutes How far does the snail travel in 6 minutes?
Answer:
1) 9 min 36 sec (9.6min)
2) 15 cm
Step-by-step explanation:
10 cm -->4 min
1 cm --> 0.4 min
24cm --> 9.6 min
15 cm--> 6min