Answer:
7x=42°
8x=48°
Step-by-step explanation:
Sum of all interior angles in a triangle=180°
90+8x+7x=180
90+15x=180
15x=180-90
15x=90
x=90/15
x=6
The measure of each acute angle is 42° and 48°.
what is an Acute angle?If an angle is less than 90 degrees, then it is called an Acute angle. Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
Given there is a right triangle. since it's a right triangle angle one angle will always be 90 degrees.
Since the sum of all angles of any triangle is 180 degrees thus,
7x + 8x + 90 = 180
15x = 90
x = 6
since each acute angles were 7x and 8x
hence those angles would be 42 and 48 degrees.
therefore, Each acute angle is 42° and 48° in size.
Learn more about acute angles here:
https://brainly.com/question/10334248
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The length of a rectangular park is twice its width.
The park is surrounded by a 3-foot-wide path.
Write a quadratic function to represent the total
area of the park and the path.
Answer:
[tex]A=2x^2+18x+36[/tex]
Step-by-step explanation:
Quadratic Function
It's given the length of a rectangular park is twice its width.
Let's call:
x = width of the rectangular park
2x = length of the rectangular park
The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:
x+3+3=x+6 width of the park and the path
2x+3+3=2x+6 length of the park and the path
The total area is:
A=(x+6)(2x+6)
Operating:
[tex]A=2x^2+6x+12x+36[/tex]
[tex]\boxed{A=2x^2+18x+36}[/tex]
Jimmy is eating appetizers that have 120 calories each. He only plans to eat 550 calories overall.
Write an inequality and determine the most appetizers he can eat without exceeding the limit.
Answer:
4
Step-by-step explanation:
Jimmy is eating appetizers that
have 120 calories each. He only
plans to eat 550 calories overall.
Write an inequality and determine
the most appetizers he can eat
without exceeding the limit.
He can eat 4.
Does this table represent a proportional relationship?
A) Yes
B) No
Answer:
a
Step-by-step explanation:
it is all doubles
how to do area for this problem
the answer is 568 in in degrees tysm
Calculate the pay for the following day of a
weekly time card given a wage of $13/hr.
Name
Week of:
Morning
In Out
Monday 08:00 12:00
Afternoon
In Out
12:45
17.30
pay = $[?]
Round your answer to the nearest hundredth.
Please help if you can.
Answer:
dfsfsffsfsdfsfsfsfsfsfsefsfsdfsff
Step-by-step explanation:sfsfsfsf
fsfsfdfdsfsdfsfsf
Alicia already spent $8.25 of her paycheck. If this was 15% of her paycheck, how much was she paid?
A. $15.00
B. $23.25
C. $55.00
D. $123.75
Answer:
She was paid $55.
Step-by-step explanation:
15%=0.15
8.25/0.15=55
Nita gana $ 20 por semana paseando al perro de su vecino. También gana $ 2 por cada rosa que vende de su jardín de rosas. Nita quiere que sus ingresos semanales sean de al menos 50 dólares. Cree una desigualdad que represente correctamente la situación de Nita arrastrando y soltando los tres valores en los espacios apropiados provistos. X es la cantidad de rosas que Nita necesita vender.
Answer:
La situación está representada por el siguiente sistema:
[tex]y = 20+2\cdot x[/tex]
[tex]y \ge 50[/tex]
Donde:
[tex]x[/tex] - Cantidad de rosas vendidas semanalmente.
[tex]y[/tex] - Ganancia semanal, medida en dólares.
Step-by-step explanation:
De acuerdo con el enunciado, Nita gana una cantidad fija cada semana por pasear al perro de su vecino, con un monto de $ 20, mientras que gana en función de la cantidad de rosas a vender, con un valor unitario de $ 2. Si ella desea ganar al menos $ 50, por tanto, se requiere construir el siguiente sistema, conformado por una ecuación y una inecuación:
[tex]y = 20+2\cdot x[/tex] (1)
[tex]y \ge 50[/tex] (2)
Donde:
[tex]x[/tex] - Cantidad de rosas vendidas semanalmente.
[tex]y[/tex] - Ganancia semanal, medida en dólares.
Please help :( I will mark brainliest.
Answer:
The value of x is 29.
Step-by-step explanation:
→ The angles arent congruent, they are supplementary.
→ Supplementary angles equals 180 degrees.
→ The equation looks look:
[tex]2x - 10 + 4x + 16 = 180[/tex]
→ Let's solve the equation.
[tex]2x - 10 + 4x + 16 = 180 \\ 6x + 6 = 180 \\ \frac{ \: \: \: \: \: - 6 = - 6}{ \frac{6x}{6} = \frac{174}{6} } \\ x = 29[/tex]
→ Therefore, the value of x is 29.
If h = 12 units and r= 4 units, what is the volume of the cone shown above?
Use 3.14 for .
A.
12.56 cubic units
B.
50.24 cubic units
C.
200.96 cubic units
D. 602.88 cubic units
Please answer ASAP!
-6=2x
Answer:
3
Step-by-step explanation:
please help me on this will give you brainliest
Answer:
876
Step-by-step explanation:
since i helped can i have brainlist please :D
What is the value of cos if the terminal side is the line 3x - 4y = 0, x < 0
4/5
3/5
-4/5
-3/5
Simplify the Expression
Answer:
[tex]125a^{3}b^{2}[/tex]
Step-by-step explanation:
Bethany walks at a rate of 3 step every 2 seconds at this rate how many seconds will it take Bethany to walk 60 steps
Answer:
30seconds
Step-by-step explanation:
if it takes 2 seconds to walk 3steps then in 30 seconds she should have walked 60 steps.
Please Help me with this I don’t understand
Polygon E’F’G’H’
is a dilation image of the polygon
EFGH
What is the scale factor of the dilation?
A.3
B.6
C.12
D.1/3
Answer:
The scale factor of the dilation is 3 ⇒ A
Step-by-step explanation:
If a polygon dilated by a scale factor k, then the ratio between its sides and the corresponding sides of its image equals k The length of a vertical segment is the difference between the y-coordinates of its endpointsIn the given figure
∵ EFGH is a polygon
∵ E = (-2, 1), H = (-2, -1)
∵ EH is a vertical side
→ By using the 2nd rule above
∴ The length of EH = 1 - (-1) = 1 + 1
∴ The length of EH = 2
∵ E'F'G'H' is its image after dilation by scale factor k
∵ E' = (-2, 5), and H' = (-2, -1)
∵ E'H' is a vertical side
∴ The length of E'H' = 5 - (-1) = 5 + 1
∴ The length of E'H' = 6
→ By using the 1st rule above
∴ [tex]\frac{E'H'}{EH}[/tex] = [tex]\frac{E'F'}{EF}[/tex] = [tex]\frac{H'G'}{HG}[/tex] = [tex]\frac{F'G'}{FG}[/tex] = k
∵ [tex]\frac{E'H'}{EH}[/tex] = k
∵ [tex]\frac{E'H'}{EH}[/tex] = [tex]\frac{6}{2}[/tex]
∴ [tex]\frac{E'H'}{EH}[/tex] = 3
∴ k = 3
∴ The scale factor of the dilation is 3
find the area of the trapezoid below by decomposing it into fimilar shape?
Answer:
168 feet
Step-by-step explanation:
area of trapezoid = length (a)+ breadth(b) / 2 height
Lix wants to by a shirt for $25. What is the total cost with a 4.1% sales tax? Round to NEAREST CENT.
Answer:
about $26.00
Step-by-step explanation:
$25/100 = 0.25 for 1%
1% times 4.1 = 1.025 in sales tax
plus 25 equals 26.025
round to the nearest cent = $26.00
Determine whether the function is linear or nonlinear. y−1/x=11 *
Answer:
vjhghjsbzkcbjhvdhmvh
Step-by-step explanation:
What operation is meant by the following words: quotient, goes into, per?
A. division
B. Multiplication
C. Addition
D. Subtraction
Answer:
I think A
Step-by-step explanation:
I think a because quotient means division
If you could help I would really appreciate it, but if not that’s fine. Thank you.
What makes a linear pair with 84°?
Answer:
as per linear pair axiom it will be X + 84= 180
this answer is 106 degrees
Answer the question............
Hey there!
The answer to your first question is 4.5 inches by 6 inches.
We can solve this by doing 3 x 1.5 and 4 x 1.5, which equals 4.5 and 6.
The answer to the second part is 27 inches²
The formula for area is length times width, so you can do 4.5 x 6
The answer to the third part is Ralph is incorrect because he probably found the area of the original dimensions, and then multiplied it by 1.5. You have to find the actual dimensions first, and then find the area.
Hope this helps. Good luck, have a great day, and let me know if there's more.
If he starts at 1 and jumps 3 units to the left, then where is he on the number line? How far away from zero is he? (explain how you got your answer)
Answer:
-2, and 2 away from zero
Step-by-step explanation:
by going left, you are going negative
1-3=-2
-2+2=0, so you are 2 away from the number line
i hope i could help<3
Which expression uses the greatest common factor and the distributive property to rewrite the sum 64 + 32? 16(4+2) 8(8+4) 32(2)+1 32(2+1)
Step-by-step explanation:
Since 64 = 32 * 2 and 32 = 32 * 1,
64 + 32 = 32(2 + 1).
16(4 + 2) is wrong as 4 and 2 have a GCF of 2.
8(8 + 4) is wrong as 8 and 4 have a GCF of 4.
32(2) + 1 is the wrong application of the distributive property.
Answer:
64+32=32(2+1) is greatest common factor
x= -1/5; f(x) = (25/2)x + (-91/2) =
Answer:
Write the problem as a mathematical expression.
X=−1/5; f(x)=(25/2)x+(−91/2)
Replace the variable x with x=−1/5 in the expression.
f(−1/5)=(25/2)(−1/5)−91/2
Simplify the result.
−48
Step-by-step explanation:
lmkk if u know this, i need sum help
use cos to get an equation and then solve.
PLEASE HELP I WILL GIVE BRAINLEIST PLEASE ALSO SHOW STEPS!!!!!!
Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b
Answer:
The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven
The point (-1, 5)Slope m = -7substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
5 = -7(-1) + b
5 = 7+b
b = 5-7
b = -2
Thus, the y-intercept is: b = -2
now substituting b = -2 and m = -7 in the slope-intercept form of the line equation
y = mx+b
y = -7x+(-2)
y = -7x-2
Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2I need help with this question
Answer: yes, the transformation is a dilation.
18.
Can someone help me with this?
Answer: A
Step-by-step explanation:
40 is a rational number.
Answer: if its a true or false question then yes 40 is a rational number
Step-by-step explanation:
Answer:
40 is a rational number
Step-by-step explanation:
It can be expressed as a quotient of two factors
40/1