Answer:
The smallest angle in the triangle is 30°
Step-by-step explanation:
You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:
[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]
The smallest angle then is x + 37, or 37 - 7, giving us 30°
If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
The three angles of a triangle measure x+37, 90, and x+67.
We need to find the measurement of smaller angle.
From angle sum property we know that the sum of three angles is equal to 180 degrees.
x+37+90+x+67=180
2x+194=180
Subtract 194 from both sides
2x=180-194
2x=-14
Divide both sides by 2.
x=-7
Substitute the value of x in smallest angle
x+37
-7+37=30
Hence the measurement of the smallest angle in degrees is 30
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I don’t rlly need the answer I just would like the method please
3x-7=17-5x
Answer: x=3
Step-by-step explanation:
3x-7=17-5x
-7=17-8x (subtract both sides by 3x)
-24=-8x (subtract both sides by 17)
3=x (divide both sides by -24)
AnOtHer geometry question.
Answer:
the answer is 8!
Step-by-step explanation:
Jervane is planning on buying a coffee and several donuts for a road trip. She wants to spend no more than $20 in total. Coffee costs $3 and donuts are $2 each. Write and solve an inequality to determine the maximum number of donuts that Jervane can buy. Be sure to include units on your answer.
Answer:
8
Step-by-step explanation:
Given:
Total money Jervane can spend = $20.
Cost of a coffee = $3.
Cost of a donut = $2.
To find: Maximum number of donuts Jervane can buy.
Solution:
Let the number of donuts she can buy be [tex]x[/tex].
She wants to spend no more than $20 in total.
So,
[tex]3+2x\leq 20[/tex]
[tex]\Rightarrow 2x\leqslant 20-3[/tex]
[tex]\Rightarrow 2x\leqslant 17[/tex]
[tex]\Rightarrow x\leqslant \frac{17}{2}[/tex]
[tex]\Rightarrow x\leqslant 8 \frac{1}{2}[/tex]
As the number of donuts can only be a natural number.
Hence, the maximum number of donuts that Jervane can buy are 8.
What is the Equation of the Line Passes through the points (-4,8) and (1,3)
show work please, i need these asap and thx for trying :)
y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of line passing through points (-4,8) and (1,3)
m=3-8/1+4
=-5/5=-1
Now we need to find the y intercept
8=-1(-4)+b
8=4+b
b=4
Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
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I don’t get 9.) so if anyone can’t skip it I need help with 10.) too
Answer:
ok number 9.) i believe its 7 if im wrong im so sorry
Step-by-step explanation:
Answer:
I will help with 10 i don't get 9 sorry so the answer is (a) F(5,4)
Step-by-step explanation:
So you have the midpoint and you put f(x, y) and D(-3,-8)
So
E=(x-3/2, y-8/2) =(1,-2) so
X-3/2 =1 , x-3=2 so x = 5
And y-8/2 = - 2. , so y-8 = - 4. , so y =4
So F =(5, 4)
the question is in the picture. will give brainilist
Step-by-step explanation:
find the equation of the circle with center at (3 -2) and radius of 3.
Answer:
(x - 3)² + (y + 2)² = 9
General Formulas and Concepts:
Pre-Calculus
Equation of a Circle: (x - h)² + (y - k)² = r²
(h, k) is centerr is radiusStep-by-step explanation:
Step 1: Define
Center (3, -2)
h = 3k = -2Radius r = 3
Step 2: Write Equation
Substitute [EC]: (x - 3)² + (y + 2)² = 3²Exponents: (x - 3)² + (y + 2)² = 9What is the original price when the discount is 64% and the sale price is $72
Answer:
$200. had to edit, read the question wrong originally
=======================================================
Work Shown:
If you save 64%, then you still have to pay the remaining 100% - 64% = 36%
x = original price in dollars
sale price = 36% of x = 0.36*x = 72
0.36*x = 72
x = 72/0.36
x = 200
The original price is $200
discount = 64% of 200 = 0.64*200 = 128
You save $128
The amount you pay is 200-128 = 72 dollars, which matches with the given sale price.
Solve the equation! ^w^
Answer:
Your correct answer would be 1
Nina Milling assembles transistor radios. she is paid $0.54 for each radio assembled during a regular work week, $0.62 for each radio assembled on on sundays. What is Nina's total pay for a week in which she assembled the following number of radios?
Answer:
I would need to know the number of radios she made each day.
Step-by-step explanation:
lets say she assembled 2 radios a day, which means we would do 0.54 x 2 (that would be 1.08) and then times it by 6 ***not incuding sunday***
you would get $6.48
then for sunday we would do 0.62 x 2 (that would be 1.24) .
now we add 6.48 and 1.24 to get $7.72 a week.
Solve the inequality *
5< -2x + 5 < 25
Answer:
[tex]\huge\boxed{-10<x<0\to x\in(-10;\ 0)}[/tex]
Step-by-step explanation:
[tex]5<-2x+5<25\qquad|\text{subtract 5 from all sides}\\\\0<-2x<20\qquad|\text{change all signs}\\\\0>2x>-20\to -20<2x<0\qquad|\text{divide all sides by 2}\\\\-\dfrac{20}{2}<\dfrac{2x}{2}<\dfrac{0}{2}\\\\-10<x<0[/tex]
translate the phrase twice m increased by 2 is equal to 7 more then m
pls show your work plss
thx
A. m/2 + 2 = 7 + m
B. 2m + 2 = 7 + m
C. 2m + 2 = m + 7
D. 2m * 2 = m + 7
5h=srt solve for t please help
Answer:
5h/sr=t
Step-by-step explanation:
To get t alone basically all you do is divide 5h by s and r.
So the new equation would be 5h / sr = t
a motorboat moves across a lake at a constant speed. when it begins it from the shore. after 9 minitues it is 14 km from the shore. which function decribes the motorboat distance from the shore?
a. y= 4x + 50
b. y= -4x + 50
c. y= 9x + 50
d. y= -9x + 50
Answer:
Answer:
The function describes the motorboat's distance from the shore
Step-by-step explanation:
A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore
After 9 minutes, it is 14 km from the shore.
So, rate of change =
Negative sign shows that there is decrease in distance per minute
The rate of change of distance is 4 km / minutes
General equation : y = mx+c
Where m is the slope and c is the constant
Substitute the values in the equation :
y=-4x+50
Where y is the final distance and x is the minutes
So, Option C is true
Hence The function describes the motorboat's distance from the shore
Step-by-step explanation:
The drama club spent $450 on tickets and buses for a field trip to the theater. 15 members of the drama club attended the field trip. The total cost for the buses was $60. What was the cost of each theater ticket? Pick the correct equation and then solve for the cost of each theater ticket.
Answer: 525
Step-by-step explanation:
450+15+60=525
Answer:
The cost of each ticket is $30.
Step-by-step explanation:
$450 is the total cost, so to get individual ticket prices you need to divide by the total number of drama club members.
450 ÷ 15 = 30
help me plsss!!!!!!!!
Answer:
the answer is b
hope that helps
Alysha’s average speed when walking home from the market was 5 mph, and it takes her 21 minutes longer than when she drives to the market. If she drives along the same route, at an average speed that is 8 times her average walking speed, how many minutes does it take her to drive home from the market?
9514 1404 393
Answer:
3 minutes
Step-by-step explanation:
Let x represent Alysha's time to drive home from the market.
Speed and time are inversely proportional to each other (for the same distance), so we have ...
(walking speed)(walking time) = (driving speed)(driving time)
5(x +21) = (8·5)(x)
x +21 = 8x . . . . . . . . . divide by 5
21 = 7x . . . . . . . . subtract x
3 = x . . . . . . .divide by 7
It takes Alysha 3 minutes to drive home from the market.
pls help meeeeee
if you can
I'll give you brainy
Answer:
x=100°, y=85°
Step-by-step explanation:
I'm pretty sure about it. If you need explanation, I'll give it later. Thank you.
What is the slope line through 1,-1 and 6,2
Answer:
[tex]\huge\boxed{slope=\dfrac{3}{5}=0.6}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (1, -1) and (6, 2).
Substitute:
[tex]m=\dfrac{2-(-1)}{6-1}=\dfrac{2+1}{5}=\dfrac{3}{5}=0.6[/tex]
Sarah had 36 free throw attempts during a game and made at least 75% of the free throws.
What is the greatest number of free throws Sarah could have missed during the game?
Answer:
9 free-throws
Step-by-step explanation:
75% of 36 = 27
36-27=9
She could have missed up to nine free throws
Answer:
3
Step-by-step explanation:
25% of 12 is 3. Brainliest pls :)
Which expression correctly represents “six more than the quotient of three and a number, decreased by eight”?
6 + StartFraction 3 Over n EndFraction minus 8
6 + StartFraction n Over 3 EndFraction minus 8
6 + StartFraction 3 Over n EndFraction + 8
6 + StartFraction n Over 3 EndFraction + 8
Answer:
C
Step-by-step explanation:
Because yeahhhh
Answer:
C
Step-by-step explanation:
Find the value of x. Give the answer in simplest radical form.
PLEASE HELP
The answer is 7 or 7.07. Hope this helps
I need the answer please help me
Answer:
-29.988 or if you round up -30
Step-by-step explanation:
1) Convert fractions to decimals
3.6 x (-8.33) = -29.988
Answer:
I think its this but not sure
Neil is completing a 10 km run in 4 months’
time. His personal best for 10 km is 55 minutes
and he wants to complete this run in less than
45 minutes.
Identify the components of health-related
fitness that Neil will have to develop to try and
achieve this. Justify your choices.
Answer:
Hello There!!
Step-by-step explanation:
There are five components of physical fitness:
1. Body composition
2.Flexibility
3. Muscular strength
4. Muscular endurance
5. Cardiorespiratory endurance
I think he will have to develop Flexibility,Muscular Endurance and also Cardiorespiratory Endurance.
hope this helps,have a great day!!
~Pinky~
which pair of angles are alternate exterior angles
<1 and <5
<3 and <6
<5 and <8
<1 and <8
Answer:
<1 and <8
Step-by-step explanation:
<1 and <8 are alternate angles and has same measurement.
Estimate the unit rate to the nearest hundredth $2.35 12 Grade AA eggs.
Answer:
2.4
Step-by-step explanation:
HELPPPPPPOPPOPPPPP???
z = 106
y = 74
Since angle 74 and angle y are the same sizes, you can know for a fact they are the same measurments. Next, you would do 74(2) and that would get you 148. 360 - 148 is 212. 212/2 is 106. TADAAAAA. That's the answer.
A triangle weighs 3 grams and a circle weighs 6 grams. Find the weight of a square in Hanger A and the weight of a pentagon in Hanger B. Create equations for each hanger using the information given above! Write an equation to represent each hanger.
Answer:
Equation of Hanger A:
x + y = z
z = 9 grams
Equation for hanger B
x + y = p
p = 9 grams
Step-by-step explanation:
Note: This question is not complete, and lacks necessary data to answer this question. But for the sack of concept, we wil be solving this question using our own data.
Data given:
Triangle weight = 3 grams
Circle weight = 6 grams
There are two hangers A and B.
We have to find weight of the square in Hanger A and weight of the pentagon in Hanger B.
So, for your understanding I have drawn the two hangers A and B. In A we have triangle and circle on the LHS and the square on the right. On the other hand, we have pentagon on the right and triangle and circle.
Sketch is attached in the attachment.
Let's suppose: Hanger A is balanced, So,
Triangle weight = 3 grams = x
Circle weight = 6 grams = y
weight of the pentagon in Hanger B = p
weight of the square in Hanger A = z =?
So,
Equation of Hanger A:
x + y = z
z = 3 + 6
z = 9 grams = weight of the square in Hanger A
Similarly for Hanger B.
Equation for hanger B
x + y = p
p = 3 + 6
p = 9 grams
I'm stuck and I need help quick
Answer:4
Step-by-step explanation:
The square root of 9 is 3, 3 multiplied by 2 is 6, and 10 - 6 =4.
What is the value of 1 − 2sin2(105°)?
a Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
b Negative one-half
c One-half
d StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answer:
D. d StartFraction StartRoot 3 EndRoot Over 2 EndFractionStep-by-step explanation:
What is the value of 1 − 2sin^2(105°)?
Given the expression
1 − 2sin²(105°)
= 1 - 2(sin105)²
= 1 - 2(0.9659)²
= 1 - 2(0.9330)
= 1 - 1.8660
= 0.8660
0.8660 can also be expressed as √3/2
Hence 1 − 2sin²(105°) is √3/2
Answer: D
Step-by-step explanation:
It IS sqrt3/22
