Answer:
40 mL of 10% acid
80 mL of 25% acid
Step-by-step explanation:
x = volume of 10% acid solution
y = volume of 25% acid solution
Total volume is:
x + y = 120
Total amount of acid is:
0.10 x + 0.25 y = 0.20 (120)
Solve by substitution.
0.10 x + 0.25 (120 − x) = 0.20 (120)
0.10 x + 30 − 0.25 x = 24
0.15 x = 6
x = 40
y = 80
The missing statement are:
4. ∠B ≅ ∠B; Reflexive Property of Equality.
5. ΔBDE ~ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate.
<h3>What are the proofs?</h3>
The missing statement are number 4 and 5.
If we say that 4. ∠B ≅ ∠B; Reflexive Property of Equality then:
∠B ≅ ∠B,
Note that there are two triangles, which are ΔABC and ΔDBE and we also have ∠BDE ≅∠BAC and ∠B ≅ ∠B,
∠BDE + ∠B + ∠BED = 180°
∠BAC + ∠B + ∠BCA = 180°
Hence, ∠BED = ∠BCA Substitution property of equality
That birth ΔABC ~ ΔDBE,which is Angle Angle Similarity Postulate
Learn more about triangle from
brainly.com/question/17177615
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Answer:
67. A
68. D
Step-by-step explanation:
I don't remember exactly the explanation, but I recommend you try to learn more about number lines sometime when you aren't under stress from schoolwork, because they're pretty simple questions to answer once you get a better understanding of them!
Answer:
24 inches.
Step-by-step explanation:
<u>Divide 54 by 9 to represent 1:9.</u>
54 ÷ 9 = 6.
<u>Multiply 6 by 4 to represent 4:9.</u>
6 · 4 = 24.
<u>The perimeter of the smaller rectangle is 24 inches.</u>