Determine whether each pair of figures is similar. If so, write the similarity statement and scale factor. If not, explain why. Number 1 and 2 on the second part.
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Answer:
JKLM ~ QRSP, scale factor 0.6ΔABC ~ ΔUVT, scale factor 1.5Step-by-step explanation:
We can write the similarity statements by naming vertices in order of increasing numbers of arcs, starting with the one having a single arc. Then we can express the side lengths as a reduced ratio, in the same order.
1. JKLM ~ QRSP
JK : KL : LM : MJ = 20 : 15 : 24 : 25
QR : RS : SP : PQ = 12 : 9 : 14.4 : 15 = 20 : 15 : 24 : 25 (same ratios)
The scale factor is 12/20 = 0.6.
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2. ΔABC ~ ΔUVT
AB : BC : CA = 16 : 14 : 12 = 8 : 7 : 6
UV : VT : TU = 24 : 21 : 18 = 8 : 7 : 6 (same ratios)
The scale factor is 24/16 = 1.5.
Solve the inequality: -3x - 22 > 23
Answer:x<-15
Step-by-step explanation:
the value of the 5 in the number 40.52 is _____ the value of the 5 in 115.78?
The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The value of 5 in the given numbers can be written as,
The value of the 5 in the number 40.52 is 0.5.The value of the 5 in the number 115.78 is 5.Now, we can write the value of the two numbers as,
5 = 0.5 × x
x = 5/0.5
x = 10
Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
Learn more about the Place Value here:
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What is a better buy.
A 12-pack of Pokemon cards for $8.50
or
A 6-pack of Pokemon cards for $5.75
Answer:
12 pack is better
Step-by-step explanation:
It is better because it's just a little more money and it has more packs then 6 pack.
Solve 4 + 1/5r = -1. Single choice.
answer choices:
r=25
r=-25
r=-15
Answer:
-15
Step-by-step explanation:
imma pro
Answer: r = - 25
Step-by-step explanation:
Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories. If she eats 2 servings of granola, how many calories does she eat? *
Answer:
5 / 1750 = 2 / x
5x = 3,500
x = 700
Step-by-step explanation:
Every two servings she eats, she eats 700 calories
How Many Times Done 16 go Into 78!??!!!!?!!?!??!?!?! HELP ME!!!
Answer:
4.87500
Step-by-step explanation:
hope this helps
Answer:
4.875
Step-by-step explanation:
78 divided by 16 = 4.875