If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?A) yes, by AA similarity criterion
B) yes, by SAS similarity criterion
C) yes, by SSA similarity criterion
D) no, not possible to tell.
Answers
Answer:
Option A is correct.
Yes, by AA similarity criterion
Step-by-step explanation:
AA(Angle-Angle) Similarity Criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
In ΔBAC and ΔCED
[Angle] [Given]
[Angle] [Common angle]
Therefore, by AA similarity criterion;
Therefore, ΔBAC and ΔCED are similar by AA similarity criterion.
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Multiply. –8 ∙ 1.2a. –96b. –9.6c. 9.6d. 96
Julia and Rasheed are mixing yellow paint and blue paint to make green paint. The mixture needs to be 60% blue paint and 40% yellow paint. If they need to make 3 gallons of the green paint, how much yellow paint should they use?
Which of the following is equivalent to xy3z2 + y2z + xyz when it is completely factored? *A.xyz(y2z + y + 1)*B.xy2z(yz + 1 + 1)*C.yz(xy2z + y + x)*D.z(xy3z + y2 + xy)
Answers
12*4=48 Now multiply 48 by 10.
48*10=480 We still have 7 to deal with, so we can multiply 48 by 2 and then by 5.
48*5=240
48*2=96
Now add the three together.
480+240+96=816.
Your answer is 816.
Answers
-5x + y = -40
-5*5 + y = -40
-25 + y = -40
y = -40 + 25
y = 25 - 40
y = -15.
Value of y = -15.
-5x+y=-40
-5(1)+y(-35)=-40
-5-35=-40
Answers
It's weight would be: x*150 / 100
Where, x= weight of nickel
Final answer:
A nickel weighs 5 grams. As a dime is said to weigh 50% as much as a nickel, we calculate 50% of 5 to find the weight of the dime, which gives us 2.5 grams.
Explanation:
The subject of this question is in the context of Mathematics, more specifically proportional relationships. The weight of a nickel is 5 grams. As mentioned, a dime weighs 50% less than a nickel. So to find the weight of the dime, we calculate 50% of 5 grams.
First, to find 50%, we need to divide by 100 and then multiply by 50. That is: (5 / 100) * 50 = 2.5 .
So, a dime weighs 2.5 grams. Always remember, weight measurements can have slight variations depending upon measurement techniques and tools used. For instance, if you place a coin on a standard electronic balance, you may obtain a weight of 2.5 g with a nominal uncertainty in the measurement of ± 0.01 gram. However, in a general sense for our calculation with given data, the weight of a dime is indeed 2.5 grams.
Learn more about Proportional Relationships here:
#SPJ3
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?
−2x − 7
2x + 7
−2x2 + 7
2x2 + 7
Answers
10x^3 + 35x^2 - 4x - 14 = 5x^2 * (2x + 7) - 2 * (2x + 7)
The correct result would be 2x + 7.
The common factor that is missing from both sets of parentheses is 2x + 7
How to determine the missing factor
To determine the missing factor, we would divide 10x³ + 35x² − 4x− 14 by 5x² – 2 using long division method as illustrated below
2x + 7
5x² – 2|10x³ + 35x² − 4x − 14
–(10x³ – 4x)
35x² – 14
–(35x² – 14)
0
The result obtained from the division is 2x + 7.
Therefore, the missing factor is 2x + 7
Check
(5x² – 2)(2x + 7) = 5x²(2x + 7) – 2(2x + 7)
Learn more about polynomial:
Answers
Answer:
60 miles can leatherback sea turtle travel in 10 hours .
Step-by-step explanation:
As given
A leatherback sea turtle can travel at a speed of 48 miles in 8 hours.
i.e
48 miles = 8 hours
A leatherback sea turtle can travel in one hour.
1hour = 6 miles
Now calculate for the 10 hours .
A leatherback sea turtle travel distance in 10 hours = 6 × 10
= 60 miles
Therefore 60 miles can leatherback sea turtle travel in 10 hours .
Answers
Step-by-step explanation:
8x + 13x
= 21x
Ax + Bx
= (A+B)x