Answers
In the picture there is a diagram with angles. By supplementary and alternative angles we get the angles are ∠a=∠e=112°,∠b=∠c=∠d=68°.
Given that,
In the picture there is a diagram with angles,
We have to find the angles of the given diagram.
The one angle is given as 68°.
The angle a is
By supplementary,
∠a+68°=180°
∠a=180°-68°
∠a=112°
The angle b as
Alternative angles are equal
∠b=68°
We take the interial angle of triangle as x.
By alternative angles,
∠a=∠x
∠x=112°
The angle e is
By alternative angle,
∠e=∠x
∠e=112°
The angle d as
By supplementary,
∠d+∠e=180°
∠d+112°+180°
∠d=180°-112°
∠d=68°
The angle c as
By alternative angle,
∠d=∠c
∠c=68°
Therefore, the angles are ∠a=∠e=112°,∠b=∠c=∠d=68°.
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Related Questions
Which of the following is a solution of the equation 9 - 2x = -1?
-4
5
4
-5
Answers
Answer:
It's 5
Step-by-step explanation:
Anna shipped a small package from north carolina to Virginia for $1.15 her package weighed 5 ounces write and solve an equation to determine the shipping cost per ounce
Answers
Given:
Total shipping cost = $1.15
Weight of package = 5 ounces
The equation to determine the hipping cost per ounce is:
[tex]\begin{gathered} \text{Shipping cost per ounce = }\frac{Total\text{ shipping cost}}{\text{Weight of package}} \\ \\ \text{Shipping cost per ounce = }\frac{1.15\text{ }}{5\text{ }} \end{gathered}[/tex][tex]\text{Shipping cost per ounce = }\frac{1.15\text{ }}{5\text{ }}\text{ = \$0.23}[/tex]Shipping cost per ounce = $0.23
ANSWER:
[tex]\frac{1.15\text{ }}{5\text{ }}\text{ = \$0.23}[/tex]At the mall, Timmy bought a T-shirt and a book for a total of $23. The book cost $12. How much did the T-shirt cost? Let x represent the unknown information. Write an addition equation that models the problem
Answers
The equation can be modelled by 23 = 12 + x
How to determine the addition equation?The given parameters are
Cost of book = $12
Total purchase = $23
The total purchase can be calculated by adding the cost of the book and the cost of the T-shirt
This is represented as
Total purchase = Cost of book + Cost of T-Shirt
So, we have
23 = 12 + x
Where x represent the unknown information.
Hence, the addition equation is 23 = 12 + x
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Two years ago, a car was valued at $24,000. This year, the value of the car is $23,160. What was the percent decrease in the value of the car?
Answers
The value of the car is decreased by 3.5%.
A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
The value of the car two years ago was $24,000.
The value of the car this year is $23,160.
The decreased value of the car after two years will be:
= $24,000 - $23,160
= $840
Let y be the percentage by which the value of the car decreased,
y = 840/24000
y = 0.035
y = 3.5/100
y = 3.5%
The value of the car decreased by 3.5 percent in two years.
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What is geometric art /geometric abstraction?
Answers
Geometric art or geometric abstraction is a form of art based on geometric figures and polygons, like lines, angles, squares, trapezoids, etc.
If APQR = A TSR, what are the congruent corresponding parts?
Answers
The most appropriate choice for congruency of triangles will be given by -
Congruent Corrosponding parts
PQ = SR
QR = ST
PR = RT
∠QPR = SRT
∠QRP = ∠STR
∠PQR = ∠RST
What is congruency of triangle?
Two triangles are said to be congruent if all the corrosponding sides and corrosponding angles of the triangles are equals.
There are five axioms of congruency of triangles. They are-
SSS axiom, ASA axiom, AAS axiom, RHS axiom, SAS axiom
Here,
[tex]\Delta PQR \cong \Delta TSR\\[/tex]
Congruent Corrosponding parts
PQ = SR
QR = ST
PR = RT
∠QPR = SRT
∠QRP = ∠STR
∠PQR = ∠RST
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Answer the questions below to find the total surface area of the can.
Answers
The total surface area of the can is 61.23 square inches
The total surface area of can S = 2πr(r+h)
where:
h is the height
r is the radius
A cylinder's surface area is the area that its surface takes up in three dimensions. A three-dimensional structure known as a cylinder has circular bases that are parallel to one another. There are no vertices on it. Area of three-dimensional shapes often refers to surface area. Square units are used to denote the surface area. Examples include cm2, m2, and so forth.
Given
h = 5in
r = 1.5in
S = 2(3.14)(1.5)(1.5 + 5)
S = 6.28(1.5)(6.5)
S = 61.23 square inches
Hence the total surface area of the can is 61.23 square inches
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
If a right triangle has sides 5, 12, and 13 units, then a triangle with sides 10, 24, and 26 is also a right triangle
True, because multiples of a right triangle triple produces a similar right triangle
False, because doubling the sides of the triangle does not keep the angles congruent
Answers
Answer:
True, because multiples of a right triangle triple produces a similar right triangle
Step-by-step explanation:
PLS HELP! THIS HOMEWORK IS DUE TOMORROW
Answers
Rhian scored more in the Math test than in the English test because she had a higher percentage
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that: In the Maths test, Rhian scored 14 out of 17, hence:
Mark percentage = (14 / 17) * 100% = 82.35%
In the English test, Rhian scored 31 out of 39, hence:
Mark percentage = (31 / 39) * 100% = 79.49%
Rhian scored more in the Math test.
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what is the equation of a line that passes through -5,0 and 4,3
Answers
The equation of line L, is y = 5x + 1
The equation of line L, is 2y - 10x + 3 = 0
Show that these two lines are parallel.
Answers
Answer:
They are parallel because they both have the same gradient of 5.
Step-by-step explanation:
For lines to be parallel they need to contain the same gradient.
1. therefore we rearrange the second equation to get y the subject so it's in the format of y=mx+c
2. 2y-10x+3=0
- we +10x and -3 on both sides to get y on its own
2y=10x-3
- we divide each side by 2 as we want y not 2y
y=5x-[tex]\frac{3}{2}[/tex]
3. From this we can see that both the equation contains the same gradient (5)
therefore, they are parallel.
A cone and a cylinder both have a radius of 3 inches and a height of 7 inches. If you wanted to adjust the cone's radius so that both solids have the same volume, what should the cone's radius be?
Answers
Answer:
radius = 5.196 ins. to nearest thousandth.
Step-by-step explanation:
Volume of the cylinder = π (3)^2 7
= 63π in^3.
Volume of the cone = 1/3 π r^2 7 where r is the new radius of the cone
So, 63π = 7/3 π r^2
r^2 = 63 / 7/3
= (63*3)/7
= 27
r = 5.196 in.
Watch helo video Find the value of f(-3). y = f(x) 9 e 6 4 2 N 6 2 Submit Answer Answer:
Answers
when x = -3
f(-3) = 5 5 is the result
five times the difference of a number and two is seven more than that number 12) twice a number decreased by four is greater than ten, what numbers satisfy this condition? 13) twice a number decreased by two is equivalent to than number increased by five.
Answers
The 3 numbers are 17/4, and the number is equal to or greater than 8, and 7 respectively. We can solve the equation using a linear equation in one variable.
What is a linear equation?A linear equation is one in which the variable's maximum power is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation. A linear equation with two variables has the formula Ax + By = C as its standard form. Here, the variables are x and y, the coefficients are A and B, and the constant is C.
1) Given that
five times the difference between a number and two is seven more than that number
Hence, by forming an equation we get
5(n-2) = n+7
5n -10 = n+7
4n = 17
n = 17/4
2)Given that
twice a number decreased by four is greater than ten, what numbers satisfy this condition
Hence, by forming an equation we get
2n -4 > 10
2n -4+4 > 10+4
2n > 14
2n / 2 > 14/2
n > 7
hence, a number greater than 7 will satisfy the equation.
3) Given that
twice a number decreased by two is equivalent to that number increased by five.
2n-2 =n +5
n = 7
Hence the number is 7
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brittany is going on vacation and taking her dog pickles along. pickles eats 2 cups of hungry hound dog food each day. brittany wants to know how many days she can feed pickles from a 14-cup bag of hungry hound. which equation can brittany use to find the number of days d she can feed pickles from the bag.
Answers
The equation will be 2d = 14 and the number of days d she can feed pickles from the bag is 7 days.
Pickles eat 2 cups of hungry hound dog food each day.
brittany wants to know how many days she can feed pickles from a 14-cup bag of hungry hounds.
We need to find the number of days d she can feed pickles from the bag.
Number of days = d,
So, Every day, Pickles consumes 2 cups of Hungry Hound dog chow.
Pickles then consume cups of Hungry Hound dog chow every day for a few days.
Then,
2*d = 14
[tex]d=\frac{14}{2} = 7[/tex]
Thus, the number of days d she can feed pickles from the bag is 7 days.
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4x-2y=-40 liner equation
Answers
Solving Linear equation 4x-2y= -40 : x = 10 + 0.5y
What is Linear Equation?
A linear equation is a mathematical expression that may be written as x 1+ldots +a n+x n+b=0, where x 1, ldots, and x n are the variables and displaystyle b, a 1, ldots, and a n are the coefficients, which are frequently real integers.
Simplifying
4x + -2y to 40
Solving
4x + -2y = 40
fixing the 'x' variable.
x should be moved to the left of all terms, and the right of all other terms.
To each side of the equation, add "2y."
4x + -2y + 2y = 40 + 2y
combining similar terms
-2y + 2y = 0
4x + 0 = 40 + 2y
4x = 40 + 2y
Multiply each side by "4".
x = 10 + 0.5y
Simplifying
x = 10 + 0.5y
Hence, solving for x the value of x = 10 + 0.5y
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A customer wanted to purchase a video game and realized that they were short $5. 32 to be able to pay. Which value is the opposite of being short $5. 32?
−$10. 64
−$5. 32
$5. 32
$10. 64
Answers
is 5 kg more than 0.5 kg?
Answers
Answer:
yes because 5 is bigger than 0.5 and we are using the same type of mesuremenmeasurement
0.5 is less than 1, and it isn’t a full number. 1,000 grams is the equivalent of 1 kg, which means 0.5 kg is the equivalent to half of a kilogram, which is 500 grams.
5 kg (or 5,000 grams) > 0.5 kg (or 500 grams)
5 kg is more than 0.5 kg.
Can someone pls help me with this it would Be a blessing
Answers
The Telus Plaza South in Edmonton is approximately 134 m tall. Stacy is lying down near the building. The angle formed by the ground and her line of sight from the ground to the top of the building is 67°. Stacy is 316m from the building's foundation to the nearest meter.
What is slight angle?at an angle, leaning to one side, and not straight or erect, according to the Longman Dictionary of Contemporary English The portrait was hung in an unusual position. at a moderate/sharp angle The sign had a small incline to it.A circular mean, also known as an angular mean, is a mean created specifically for angles and other cyclical values like daytimes and fractional parts of real integers. This is essential since many common measures might not be appropriate for values with an angular distribution.A low-angle shot is one that is taken from a camera angle that is low on the vertical axis, pointing upward and anyplace below the eye line.To learn more about slight angles refer to:
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helppppppp A construction company takes 1/4 hours to remove 1/4 metric tons of dirt from a construction site.
What is the unit rate in metric tons per hour?
Write your answer in simplest form. i need this urgentlyyyyyy
Answers
The unit rate in metric tons per hour is 1 metric ton per hour.
The unit rate will be calculated by simply performing the division of amount of dirt by amount of time.
Keep the values in formula to find the value of the unit rate in metric tons per hour.
Unit rate = 1/4÷1/4
Performing division on Right Hand Side of the equation to find the value of the unit rate in metric tons per hour.
Unit rate = 1 metric ton per hour
Thus, the unit rate to remove dirt from construction site is 1 metric ton per hour.
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How is volume measured for liquids and solids?
Answers
Answer: By convention, the volume of liquids and gases is often expressed in units of liters or milliliters, measured with glassware. The dimensions of regularly shaped solids can be measured directly with rulers or calipers, which have linear units, giving volumes in units such as cubic centimeters.
Step-by-step explanation:
Solving Inequalities with One Variable
Show work
2(7 − 2) > 9 + 6
Answers
Answer: no solution
Step-by-step explanation:
2× (7-2)>9+6
Calculate the sum or difference
2×5>9+6
Calculate the sum or difference
2 × 5 > 15
2×5>15
Calculate the product or quotient
10 > 15
10 > 15
The solution of the inequality
no solution
2 = x/6
HELP, WILL MARK BRAINLIEST
Answers
Answer:
x= 12
Step-by-step explanation:
12÷6=2
a polygon is a 2d shape with all straight edges. show via induction that the sum of the interior angles of a polygon with n sides is (n −2) ×180◦. don’t include unneeded base cases. hint 1: it is helpful to know that a triangle’s interior angles always sum to 180◦. you may assume this is true for the problem. hint 2: in order to apply your inductive hypothesis to a polygon, you’ll need to think of it in terms of a smaller polygon. how can you make a smaller polygon out of a big one?
Answers
Using the process of induction we can prove that the sum of all angles of a polygon is (n −2) ×180°
In geometry, a polygon is a planar shape characterized by a finite number of segmented straight lines linked to form a network of closed polygons (or polygonal circuit). A polygon is defined as either a bounded plane region or a bounding circuit.
Sum of all angles of a triangle is 180°
Sum of all angles of a quadrilateral is 360°
We know that a triangle has 3 sides.
Hence (n −2) ×180 for n=3 given 180
and (n −2) ×180 for n=4 gives 360.
So we can say that the formula holds by the properties of induction.
The portions of a polygonal circuit are known as its margins or sides. A polygon's vertices or corners are the points where two edges meet. The inside of a solid polygon is sometimes referred to as its body. An n-gon appears to be a polygon with n sides, similar to a triangle, which is a 3-gon.
Hence the formula (n −2) ×180◦ holds for induction.
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PLEASE HELP ME QUICKK
Answers
It is given that a = 30°. It is also shown that C is a right angle, thus c = 90°. The interior angles of a triangle always add up to 180°. So:
a + b + c = 180
30 + 90 + b = 180
b + 120 = 180
b + 120 - 120 = 180 - 120
b = 60°
Simplify open parentheses x to the 2 fifths power close parentheses to the 5 sixths power
Answers
Answer:
x 1/3
Step-by-step explanation:
A cylinder tank has a radius of 7.5 feet and an altitude of 14 feet. If a gallon of paint will cover 130 ft.² of surface how much paint is needed to put two coats of paint on the entire surface of the tank?
Answers
A cylinder tank has a radius of 7.5 feet and an altitude of 14 feet. If a gallon of paint will cover 130 ft.² of surface how much paint is needed to put two coats of paint on the entire surface of the tank?
Remember that
The surface area of a cylinder is equal to
[tex]SA=2B+Ph[/tex]where
B is the area of the circular nase
P is the circumference of the circular base
h is the height of the cylinder
so
Find out B
[tex]B=\pi\cdot r^2[/tex]we have
r=7.5 ft
pi=3.14
substitute
[tex]\begin{gathered} B=3.14\cdot(7.5)^2 \\ B=176.625\text{ ft2} \end{gathered}[/tex]Find out the circumference
[tex]\begin{gathered} P=2\pi\cdot r^{} \\ P=2(3.14)\cdot7.5 \\ P=47.1\text{ ft} \end{gathered}[/tex]the value of h=14 ft
therefore
SA=2(176.625)+47.1(14)
SA=1,012.65 ft2
Remember that s needed to put two coats of paint
Multiply the surface area by 2
1,012.65*2=2,025.3 ft2
1 gallon -------> 130 ft2
applying proportion
1/130=x/2,025.3
solve for x
x=2,025.3/130
x=15.6 gal
therefore
the answer is 16 gallon5/6x - 9 + 3 - 2/3 simplified
Answers
Hey there!
Not very sure if you mean [tex](\frac{5}{6x} )[/tex] or [tex](\frac{5}{6}x)[/tex], but I'll solve both
[tex]\frac{5}{6} x-9+3-\frac{2}{3}[/tex]
First step is to simplify:
[tex]\frac{5}{6} x+-9+3+\frac{-2}{3}[/tex]
Now, we need to combine Like Terms:
[tex](\frac{5}{6}x)+(-9+3+\frac{-2}{3} )[/tex]
[tex]\frac{5}{6} x+\frac{-20}{3}[/tex]
[tex]\frac{5}{6x} -9+3-\frac{2}{3}[/tex]
Simplify:
[tex]\frac{5(1-8x)}{6x} or\frac{-40x+5}{6x}[/tex]
Hope this helps!
Please awnser fast due tommorow worth 40 pts(I need all of the answered)1 Which of the following could be the graph of the equation y =-2x + 5? How do you know?
Answers
Answer: Your image is too blurry to read, but the third graph from the left is correct for y=-2x+5
Step-by-step explanation: This equation is already in the slope-intercept form: y=mx+b. In the slope-intercept form, m=slope of the line and b=intercept. For your equation, the slope is -2 and the y-intercept is where y=5. To graph the line, the -2 slope is down 2 on the y-axis for every +1 on the x-axis. Please see my attached image for the graph.
pls help it’s a math question will mark brainliest
Answers
Answer: B the lines are neither parallel nor perpendicular.
Step-by-step explanation:
To make this easier we can make both equations into y-intercept statements.
y = 5x - 7
-8y = -x - 6
y = 1/8x + 6/8
By looking at the slopes of both equations (5 and 1/8) we can see that they are neither the same nor opposite reciprocals.
