Answer:
m∠U = 36°
m∠V = 75°
m∠T = 69°
Step-by-step explanation:
(2x+14)+(6x+9)+(6x+3)=180
Combine like terms: 14x+26=180
Solve this equation: x=11
Use x=11 to find angles
∠U = 36°
∠V = 75°
∠T = 69°
You can add up all of these measurements to check. =180°
Answer:
The measures of the 3 angles are:Angle T = 69°Angle U = 36°Angle V = 75°Step-by-step explanation:
The Triangle Sum Theorem states that the 3 angles of a triangle must add up to 180°.
We don't know the angles of the triangle, but we do know that the sum of all three unknown angles is 180°.
We set the three expressions together as equal to 180°.
6x + 3 + 6x + 9 + 2x + 14 = 180
Simplify
14x + 26 = 180
Subtract 26
14x = 154
x = 11
Now, we check our answer for x.
6(11) + 3 + 6(11) + 9 + 2(11) + 14 = 180
69 (measure of angle T) + 75 (measure of angle V) + 36 (measure of angle U) = 180
180 = 180 ✅
Note that once we found x, would substitute it in and get the needed measures. Since the needed measures add up to 180°, we know that our answer is correct.
The measures of the 3 angles are:Angle T = 69°Angle U = 36°Angle V = 75°The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of
Complete Question:
The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.
Answer:
[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]
[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]
Step-by-step explanation:
Given
Shape: Parallelogram DGRY
Dimension: [tex]\angle D = \frac{5}{2}\angle Y[/tex]
Required
Find the measure of each angle
D and R are opposite sides & G and Y are also opposite sides.
So, we have:
[tex]\angle D = \angle R = \frac{5}{2}\angle Y[/tex]
and
[tex]\angle G = \angle Y[/tex]
The sum of angles is given as:
[tex]\angle D + \angle G + \angle R + \angle Y=360^{\circ}[/tex]
Substitute values for [tex]\angle D, \angle G \ \& \angle R[/tex]
[tex]\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}[/tex]
Take LCM
[tex]\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}[/tex]
[tex]\frac{14\angle Y}{2}= 360^{\circ}[/tex]
Multiply both sides by [tex]\frac{2}{14}[/tex]
[tex]\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}[/tex]
[tex]\angle Y= 360^{\circ} * \frac{2}{14}[/tex]
[tex]\angle Y= \frac{ 360^{\circ} *2}{14}[/tex]
[tex]\angle Y= \frac{720^{\circ}}{14}[/tex]
[tex]\angle Y= 51.43 ^{\circ}[/tex]
So:
[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]
[tex]\angle D = \frac{5}{2}\angle Y[/tex]
[tex]\angle D = \frac{5}{2} * 51.43^{\circ}[/tex]
[tex]\angle D = \frac{5* 51.43^{\circ}}{2}[/tex]
[tex]\angle D = \frac{257.15^{\circ}}{2}[/tex]
[tex]\angle D = 128.57 ^{\circ}[/tex]
Hence:
[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]
Solve by Elimination:
x - 2y = 4
X - 1y = 2
its urgent
Answer:
x = 0 and y = -2
Step-by-step explanation:
x - 2y = 4 and X - 1y = 2
you mentioned elemination aka substraction
so you when substract x - x = 0 -2y -( -y) = -y and 4 -2 = 2
so - y = 2
or y = 2
now substitute the numbers
x + 4 = 4
x = 0
and try it with one of the equation or sometimes trying on both of them can be very helpful
Which of the following statements are true?
I. 4x2 – 2x + 9 is a cubic binomial with a leading coefficient of 4.
II. -3y4 – 2y + 4 is a quartic trinomial with a degree of -3.
III. 5a+ 2 is a quintic binomial with a constant term of 2.
IV. -2m2 is a quadratic monomial with a leading coefficient of 2.
A None
B II only
C II and IV only
D I, II, III, and IV
Answer:
16
Step-by-step explanation:
A triangle has a base of 18.1 kilometres and a height of 17.4 kilometres. What is the area?
Answer:
157.47km²
Step-by-step explanation:
Given the following
base of 18.1 kilometres
height of 17.4 kilometres
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * 18.1 * 17.4
Area of the triangle = 314.94/2
Area of the triangle = 157.47km²
Hence the area of the triangle is 157.47km²
A music collection includes 19 ROCK CDs, 12 COUNTRY CDs, 6 CLASSICAL CDs, and 5 HIP HOP
CDs. What is the probability that a CD randomly selected from the collection IS a classical CD?
Answer:
6/42 = 1/7
Step-by-step explanation:
Divide the number of events by the number of possible outcomes.
If I have 6 pencils and my friend has 7 apples how many pancakes can fit on the roof.
a. purple because pancakes are purple
b. Yellow because aliens don't wear hats
c. the square root of the sun
d. pencil
Answer:
red
Step-by-step explanation:
Answer:
e
Step-by-step explanation:
depending on how big your roof is, and how high you can stack the pancakes, and the number of non hat wearing aliens that are eating the pancakes, it all really depends. but if thats wrong the answers pencil
Which of the following regular polygons circumscribed about a circle provides the best estimate for the area of that circle?
Dodecagon
decagon
nonagon
octagon
A whole pizza is cut into 8 pieces and you eat 2 of the 1/8 pieces, how much (in a fraction) is left over? 3/8
4/6
2/8
6/8
Answer:
6/8 is left
Step-by-step explanation:
Hope this helps!! Can I get brainliest please??? :)
8 pieces = 8/8
8/8 - 1/8 - 1/8 = 6/8
or
8/8 - 2/8 = 6/8
Question 4
A truck is loaded with packages. The truck's trailer is 12 feet high by 52
5 feet
15 feet
12 feet
What is the volume of the trailer?
А
97 cubic feet
B
191 cubic feet
С
252 cubic feet
Answer:
C. 252 CUBIC FEET IS THE VOLUME OF THE TRAILER
I hate math so much Help
Answer:
73/100 is the fraction
0.73 is the decimal
Step-by-step explanation:
If you spend $400 on a new phone and it is depreciating about 50% per year , how much will it be worth by its third year?
Answer:
50$
Step-by-step explanation:
after 1 year: 200
after 2 years 100
after 3 years 50
Answer:
It will be worth $50 dollars after 3 years
-4
-3
-2
-1
0
1
2
3
what is the inequality shown
Answer:
Ok, I'm pretty sure its -4
Write an equation that has a slope of ½ and a y-intercept of -6.
Answer: y=1/2x-6
Step-by-step explanation:
Answer:
y=1/2x + -6
Step-by-step explanation:
its just the y = mx + b forulma but you just plug in the numbers
Hope this helps :)
Can somebody plz heLp answer number 7-8 thanks!!!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD
Answer:
7. x - 16 = 5
x = 21
8. x ÷ 2 = 8
x = 16
good luck, i hope this helps :)
3 cups of tea and 4 cups of coffee costs £3.45 in total.
4 cups of tea and 1 cup of coffee costs £2.65 in total.
How much would it costs to buy one cup of each in total?
Answer:
A) 3T + 4C = 3.45
B) 4T + 1C = 2.65 We'll multiply this by -4
B) -16T -4C = -10.60 then we'll add A)
A) 3T + 4C = 3.45
-13T = -7.15
Tea is .55
and coffee is
A) 3 * .55 + 4C = 3.45
4C = 3.45 -(3 * .55)
4C = 1.80
coffee is .45
Step-by-step explanation:
simplify these expressions: 12x - 3x
Answer:
12x-3x
= 9x
Step-by-step explanation:
Hope it is helpful....
CAN SOMEONE HELP ME PLS I GIBE BRAINLIST AND POINTS
Answer:
184.26
Step-by-step explanation:
28.275 + 60 + 96 = 184.26
What is the slope of the line shown below?
Answer:
D
Step-by-step explanation:
Slope formula: m = (y2 - y1) / (x2 - x1)
First coordinate: (1, 3)
Second coordinate: (3, 9)
m = (9 - 3) / (3 - 1)
m = (6) / (2)
m = 3
4x-9 , 3x-8 Add
cause i'm too tired
Answer:
if your adding them together it would be -70
Step-by-step explanation:
4× -9 =-36
3×-8=-24
Answer:
-70 papi
Step-by-step explanation:
please help me with this question fast!!!!
Help!!!!! Also shoe the work plz!
Answer:
[tex]h=\frac{15.625}{pi}[/tex]
h ~ 4.974
Step-by-step explanation:
The formula for the volume of a cylinder is;
[tex](pi)(r^{2})(h)=V[/tex]
Where [tex](pi)[/tex] represents the value, [tex]3.1415...[/tex]
[tex](r)[/tex] represents the radius of the given cylinder. In other words, if one were to take a base (the flat side in the case of the cylinder) of the figure. The distance from the center to a point on the outside of the circle is the radius.
[tex](h)[/tex] represents the height of the object. In other words the distance between the two bases of the cylinder.
[tex]V[/tex] represents the volume, in other words, the space that the object takes up.
In this problem, one is given the diameter of the cylinder and the volume. One is asked to find the area.
The diameter of a circle is the distance between two opposite sides of the circle. The diameter will always pass through the center of the circle. To find the radius when given the diameter, one will divide by 2.
To solve this problem, one will substitute in the given information and solve for the height using inverse operations.
[tex](pi)(r^{2})(h)=V\\\\(pi)((\frac{8}{2})^{2})(h)=250\\\\(pi)(16)(h)=250\\\\(pi)(h)=15.625\\\\(h) = \frac{15.625}{pi}\\\\h- approx. 4.974[/tex]
Simplify the expression -(6 - 4p)
Hey there!
The answer to your question is [tex]-6+4p[/tex]
Given:
[tex]-(6-4p)[/tex]
First, we distribute the negative sign to both terms ([tex]6[/tex] [tex]and[/tex] [tex]-4p[/tex]) This would make the [tex]6[/tex] negative and the [tex]-4p[/tex] positive, so we have:
[tex]-6[/tex] [tex]and[/tex] [tex]4p[/tex]
Add them together and we get:
[tex]-6+4p[/tex]
Have a nice day!
The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Answer:
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Step-by-step explanation:
Let the scale be [tex]4\,in\,:\,5\,ft[/tex] and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ([tex]r[/tex]), measured in inches per feet, is equivalent to the following rational number:
[tex]r = \frac{4\,in}{5\,ft}[/tex]
We can convert each length by dividing it by scale factor. That is:
Length
[tex]l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]l' = 20\,ft[/tex]
Width
[tex]w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]w' = 31.25\,ft[/tex]
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Which is the solution to the inequality? 1/4 + x < 5/6
Answer:
x<7/12
Step-by-step explanation:
1/4+x<5/6
24×1/4+24(x)<24×5/6
6+24x<20
24x<20-6
24x<14
24x/24<14/24
x<7/12
HELP PLS PLS PLS PLS
Answer:
7x - x
Step-by-step explanation:
i think so oof oof oof oof oof
please help me put these in order if u can
Answer:
5x+8y=480
5(16)+8y=480
80+8y=480
8y=40
y=50
Step-by-step explanation:
x= kids ticket sold
y= adult tickets sold
5x+8y = sales
Plug in 16 for x and 480 for sales
5(16)+8y= 480
Solve for y
80+8y=480
400=8y
y=50
how to solve this one
HELP ASAP PLSSSS IM DYING
Answer:
88°
Step-by-step explanation:
5a + 18 + 24 - a + 8a - 30 = 180 (angles on a straight line)
=> 12a + 12 = 180
=> 12a = 168
=> a = 168 / 12
=> a = 14
5a + 18 = 5 (14) + 18 = 70 + 18 = 88
24 - a = 24 - 14 = 10
8a - 30 = 8 (14) - 30 = 112 - 30 = 82
Therefore, largest angle is 88°.
Hope it helps :)
Please mark my answer as the brainliest
to make pink paint, sylvia mixes 7 cups of white paint to every 3 cups of red paint. which table shows possible values of w, the number of cups of white paint sylvia uses, and r, the number of cups of red paint?
Answer: A
Step-by-step explanation:
For every 3 cups she need 7 cups of white paint.
answer a displays that with 3*2=6 and 7*2=14
Answer:
A
Step-by-step explanation:
I did the math
3. What is the ratio of 1 m to 1 cm?
(A) 1 : 10
(B) 10:1
(C) 1 : 100
(D) 100 : 1