Given the two triangles are similar, what are the values of q and t? Round to the nearest hundredth.
Answers
Answer:
t = 7.5 cm , q= 7.5 cm.
Step-by-step explanation:
Given : Two similar triangle .
To find : what are the values of q and t ,Round to the nearest hundredth.
Solution : We have given Two similar triangle GHI and DEF.
Property of two similar triangle : The ratios of the lengths of their corresponding sides are equal.
Corresponding sides HI ≅ EF and GI≅DF. GH≅DE
HI = t , EF = 4.5 , GI = 12.5 , DF = q , Gh = 10 , DE = 6
.
On cross multiplication
t * 6 = 4.5 * 10.
t * 6 = 45 .
On dividing both sides by 6
t = 7.5 cm.
Now, for q
.
On cross multiplication
q * 10 = 12.5 * 6.
q * 10 = 75.0
On dividing both sides by 10
q= 7.5 cm.
Therefore, t = 7.5 cm , q= 7.5 cm.
Next proportion is q/12.5 = 6/10. Cross multiply 10q = 750. Divide both sides of the equation by 10 and get q = 7,5.
Related Questions
A bank pays 5% interest compounded annually. What principal will grow to $12,000 in 10 years.
The triangles are similar. If DE = 12, EF = 10, and BC = 5, find AB.
45mintutes 15mintues next 30minutes until 6:00
20 is what percent of 50
Answers
Answer:
Adjacent leg (In relation to the angle that is measure 22 degrees)= 70*Cosine 22 or 64.9; Opposite leg (In relation to the angle that is measure 22 degrees)=70* Sin 22 or 26.22
Step-by-step explanation:
The other angle measure is 90-22 or 68.
To find the length of the adjacent leg (a) use cosine. Remember cosine is Adjacent leg over hypotenuse.
Cosine 22= a/70- Multiply by 70
70* Cosine 22=a or about 64.9
To find the length of the opposite leg (o) use sine. Remember sine is Opposite leg over hypotenuse
Sine 22= o/70
70*Sine 22=o
o= about 26.22
Answers
because it is in the bracket and the power of 6 sign is outside you multiply its index (2/3) by 6 and you have x^4
so the answer is the second one, x^4
hope this helps :)
Answers
Geometric Mean = √(126)
Geometric Mean = √(9 × 14)
Geometric Mean = √(9)√(14)
Geometric Mean = 3√(14)
2x + 4y = 16
x – 7 = – 4y
Answers
Okay well first off you want to get x alone on one side of the equals sign.
x - 7 = -4y
+ 7 + 7
---------------
x = -4y + 7
Then you plugin -4y + 7 for x in the other equation.
2(-4y + 7) + 4y = 16
Then distribute.
-8y + 14 + 4y = 16
Combine like terms.
-4y + 14 = 16
-14 -14
-----------------------
-4y = 2
---- ------
-4 -4
y = -0.5
x - 7 = -4(-0.5)
-----------------------
x - 7 = 2
+ 7 +7
----------------
x = 9
Then you plugin the answers for each variable to check, but I will let you do that.
Answers
Answer:
First turn any mixed numbers into improper fractions. 1 3/4 would be 7/4. Becuase you multiply the whole number by the denominator and then add the numerator.
So now you have 7/4 divided by 2/5. Whenever you divide, you flip the 2nd fraction upside down... known as the reciprocal. And after that you multiply the first number by the upside down 2nd number.
So now you have 7/4 X 5/2. When multiplying, just multiply the numerators across and the denominators across. As your answer, you get 35/8 or 4 3/8.
Step-by-step explanation:
Answer:
35/8 or 4 3/8
Step-by-step explanation:
whatever works for you. but when you use a caucalater you get 35/8.
5 points
Option 1 4+1.50r<25
Option 2 4+1.50r>25
Option 3 4r+1.50>25
Option 4 4r+1.50<25
Answers
Answer:
option 1 4+1.50r<25 is the answer