△ABC has interior angles with measures x°, 100°, and 70°.
By using angle sum property, which states that the sum of measures of all three angles is 180 degrees.
[tex] x^{\circ}+100^{\circ}+70^{\circ}=180^{\circ} [/tex]
[tex] x^{\circ}=10^{\circ} [/tex]
Now, △DEF has interior angles with measures y°, 70°, and 20°.
By using angle sum property,
[tex] y^{\circ}+70^{\circ}+20^{\circ}=180^{\circ} [/tex]
[tex] y^{\circ}=90^{\circ} [/tex]
Now, we can say that,
"The two triangles are not similar because x≠y"
As one angle of measure 70 degree is common in both the triangles.
If 'x' would be equal to 'y' , then we could say that the triangles are similar by AA criteria.
Therefore, the two triangles are not similar because x is not equal to y.
(12 + 5) + 32 × (10 − 5) =
PLEASE HELP ME WITH THIS....
BRAINLIEST AVAILABLE
A store carries two different sizes of a certain brand of potato chips. bag 1 contains 8 ounces and costs $3.49. bag 2 contains 12 ounces, and costs $4.59. which bag has the lowest price per volume
Bag 2, with a price of $0.3825 per ounce, has a lower price per volume compared to Bag 1, which has a price of $0.43625 per ounce.
To determine which bag of potato chips has the lowest price per volume, we need to calculate the price per ounce for each bag.
For Bag 1, it contains 8 ounces and costs $3.49, so the price per ounce is $3.49 / 8 ounces = $0.43625 per ounce.For Bag 2, it contains 12 ounces and costs $4.59, so the price per ounce is $4.59 / 12 ounces = $0.3825 per ounce.Comparing these values, we see that Bag 2 has the lower price per ounce at $0.3825 per ounce, making it the more economical choice per unit of volume.
The equation x2+y2−4x+2y=b describes a circle. Complete the square to find the center of the circle. The center of the circle is ( , ) The radius of the circle is 7 units. What is the value of b in the equation? b=
Simplify -|-5 + 2|.
I'm not good with Math, can someone please help me how to Simplify, I have no clue to solving these questions that ask me to simplify, On my Online Schooling I wish to get better. Thanks for the time :)
What is the solution to the equation 5x = 40?
7
8
45
200
helpppppppppppppppppppppppppppppppppppppppppppp
in the second picture, i have included a picture of the theorem that this question is based upon.
A restaurant offers three vegetable side dishes, two fruit side dishes, and five grain-based side dishes. Each entree comes with two side dishes.
What is the approximate probability of randomly choosing one vegetable and one grain-based side dish?
a.0.08889
b.0.17778
c.0.16667
d.0.33333
The approximate probability of randomly choosing one vegetable and one grain-based side dish is: d. 0.33333
Explanation
Vegetable side dishes = 3, Fruit side dishes = 2 and Grain-based side dishes = 5
So, total number of side dishes [tex]= 3+2+5= 10[/tex]
Number of ways for choosing two side dishes from total 10 dishes will be : [tex]^1^0C_{2}[/tex]
We need to randomly choose one vegetable and one grain-based side dish, so the number of ways [tex]= ^3C_{1} * ^5C_{1}[/tex]
Thus, the probability [tex]= \frac{^3C_{1} * ^5C_{1}}{^1^0C_{2}} = \frac{3*5}{45}= \frac{15}{45}= \frac{1}{3}= 0.3333...[/tex]
Answer:
D. 0.33333
Step-by-step explanation:
A hybrid car averages 600 miles on a 12.9 gallon tank of gas. Manuel is planning a 1240-mile vacation in his hybrid car. Find how many gallons of gas he can expect to burn.
Answer:
26.66 gallon of gas
Step-by-step explanation:
A car uses 12.9 gallons of gas for travelling 600 miles
For travelling one mile , the car will use gas = 12.9 gallon of gas/600 miles
= 0.0215 gallon of gas /mile
For travelling 1240 miles, gallon of gas required =
= 0.0215 gallon of gas /mile x 1240 miles
= 26.66 gallon of gas
A coach bought some shirts and 5 pairs of shorts. each shirt cost $12 and each pair of shorts cost $10. let t represent the number of shirts. write an expression that can be used to find the total cost of the shirts and shorts. answer
Quadratic Equations Solve for x. x2+2=102 Enter the solutions for the equation in the boxes.
The given quadratic equation is :
[tex] x^{2}+2=102 [/tex]
We have to solve the given quadratic equation for the value of 'x'.
[tex] x^{2}+2=102 [/tex]
[tex] x^{2}=102-2 [/tex]
[tex] x^{2}=100 [/tex]
[tex] x=\sqrt{100} [/tex]
x= [tex] \pm 10 [/tex]
So, the value of 'x' in the given quadratic equation are 10 and -10.
PLEASE HELP ASSSAAAAPPPP
HELP please :)
A patient requires an IV of 0.9% saline solution, also known as normal saline solution. How much distilled water, to the nearest milliliter, must be added to 100 milliliters of a 6 % saline solution to produce normal saline?,
A 16 foot ladder is leaning against a 10 foot wall. How far away from the building should the bottom of the ladder be placed
what is the scale factor of ABC to UVW
Answer:
C. 5
Step-by-step explanation:
We have been given an image of two triangles. We are asked to find the scale factor of ABC to UVW.
To find the scale factor of our given triangles, we will divide one side of triangle UVW by its corresponding side of triangle ABC.
[tex]\text{Original side}\times\text{Scale factor}=\text{New side}[/tex]
[tex]5\times\text{Scale factor}=25[/tex]
Upon dividing both sides of equation by 5, we will get:
[tex]\frac{5\times\text{Scale factor}}{5}=\frac{25}{5}[/tex]
[tex]\text{Scale factor}=5[/tex]
Therefore, the scale factor of triangle ABC to triangle UVW is 5 and option C is the correct choice.
The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance betweeb city A and city C is 51 miles.
What type of trianglr is created by the three cities?
A. An acute triangle, beacuse 22^2+54^2>51^2
B. An acute triangle, beacuse 22^2+51^2>54^2
C. An obtuse triangle, beacuse 22^2+54^2>51^2
D. An obtuse triangle, beacuse 22^2+51^2>54^2,
The answer is B. It is an acute triangle because of 22^2 + 51^2 > 54^2. To identify the type of triangle referred to the problem, we use the Pythagorean Theorem which involves squaring the lengths of all sides of the triangle. If the hypotenuse’s square is less than the two smallest sides' squares added together, than it is an acute triangle. However, if the hypotenuse’s square is larger, then it is an obtuse triangle.
54 is the hypotenuse since it is the longest side.
Following the Pythagorean Theorem, a^2 + b^2 = c^2:
54^2=2916
51^2=2601
22^2=484
It becomes 2601+484 = 2916.
When the two shorter sides are added, the sum is greater than the square of the hypotenuse which is 2916. Thus, the formed triangle is acute.
Answer:
B
Step-by-step explanation:
When constructing a regular hexagon inscribed in a circle, what is the measure of an angle formed by any two adjacent vertices of the hexagon and the center of the circle?
Answer:
Measure of angle is 60°
Step-by-step explanation:
Given when constructing a regular hexagon inscribed in a circle, we have to measure an angle formed by any two adjacent vertices of the hexagon and the center of the circle.
we have to find the measure of central angle of hexagon
Total measure of angle at centre is 360°
As polygon is given regular hexagon therefore central angle divides into six equal angles.
Hence, measure of an angle formed by any two adjacent vertices of the hexagon and the center of the circle is
[tex]\frac{\text{Total angle at centre}}{\text{number of sides}}=\frac{360}{6}=60^{\circ}[/tex]
describe the graph of y={1/(2x-10)}-3 compared to the graph of y=1/x
Find the perimeter of the figure. Round your answer to the nearest tenth.
a) 41 Units b) 34.2 Units c) 23 Units d) 11.2 Units
Please help does anyone know the answer Giving 20pts I need ASAP
At the snack bar, a hot dog costs $1.50 and a slice of pizza costs $2. What percent of the cost of a slice of pizza is a cost of a hot dog? Which equation can be written to represent this scenario?
A. 1.5p=2
B. 1.5=2p
C. 2(1.5)=p
D. 2/1.5=p
How would you determine this answer?
Use the quadratic formula to solve x^2+8x+9=0
What are the solutions to the equation?
Round irrational solutions to the nearest tenth.
x=−1 and x=−8
x = 1 and x=−9
x=−6.6 and x=−1.4
x=−1.2 and x=−6.8
Please explain the answer!
A railroad crew can lay 7 miles of track each day. they need to lay 189 miles of track. 17 day how many miles. How many day to lay all the track
Given that a crew can lay 7 miles of railroad track a day, it would take them a total of 27 days to lay 189 miles of railroad track.
Explanation:The subject of this question is the calculation of the number of days it would take for a railroad crew to lay a specified number of miles of track. Given that the crew can lay 7 miles of track each day, and they need to lay a total of 189 miles of track.
To determine the total number of days required, we would divide the total miles by the miles the crew can lay each day.
So, 189 miles ÷ 7 miles/day = 27 days. Therefore, it would take the railroad crew a total of 27 days to lay all the track.
Learn more about Calculating Time here:https://brainly.com/question/20416068
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Carlos ran 3/8 of the race course. Lori ran 3/6 of the same race. Who ran further? Explain.
The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.
Answer: n + n+2 + n+4 + n +6 = 4n + 12 = -72 4n = -84 n = -21 -21,-19,-17 and -15
Kite ABCD has a longer diagonal AC with a length of 14 in. and a shorter diagonal BD with a length of 8 in. The diagonals intersect at point E. What is the length of BE?
4 in
7 in
8 in
14 in
An isosceles triangle has perimeter T and sides of length x, x, and y. Which of the following represents x in terms of T and y? (10 POINTS + BRAINLIEST ANSWER)
A. x = T - y
B. x = T - 2y
C. x = T - 2y/2
D. x = T - y/2
the correct answer is C. x = (T - 2y) / 2.
To find the value of x in terms of T (the perimeter) and y for an isosceles triangle with two sides of length x and one side of length y, we use the fact that the perimeter is the sum of all three sides. The equation representing the perimeter of the triangle is T = x + x + y, which simplifies to T = 2x + y. To solve for x, we rearrange the equation to x = (T - y) / 2. Therefore, the correct answer is C. x = (T - 2y) / 2.
You are finding the product of two square roots. Each radicand is the same variable raised to an odd power. Explain why you would want to multiply the radicands together first and then simplify the product.
Can someone help me with this word problem?