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4 years ago

Jose also has to state that

Mathematics

1 answer:

Leni [432]4 years ago

7 0

Answer:

(A) $\angle A =\angle A.$

Step-by-step explanation:

$\triangle AED \sim \triangle ACB$ by SAS and:\\\dfrac{AE}{AD} =\dfrac{AC}{AB}$

By the SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

The included angle between the sides AC and AD in AED is angle A.
The included angle between the sides AC and AB in ACB is angle A.

Therefore, for the two triangle to be similar by SAS, $\angle A \cong \angle A.$

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The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution do

xenn [34]

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

$\texttt{ }$

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

$\texttt{ }$

<em>Volumes of 2% Solution = x</em>

<em>Volumes of 10% Solution = y</em>

$\texttt{ }$

<em>Total Volume = 10 ml</em>

$\boxed{x + y = 10}$ → <em>Equation 1</em>

$\texttt{ }$

<em>The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution</em>.

$2 \% x + 10 \% y = 6 \% (10)$

$2x + 10y = 6(10)$

$\boxed{x + 5y = 30}$ → <em>Equation 2</em>

$\texttt{ }$

<em>Equation 1 - Equation 2:</em>

$( x + y ) - ( x + 5y ) = 10 - 30$

$-4y = -20$

$y = -20 \div -4$

$y = 5 \texttt{ ml}$

$\texttt{ }$

$x + y = 10$

$x + 5 = 10$

$x = 5 \texttt{ ml}$

$\texttt{ }$

<h2>Conclusion:</h2>

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

6 0

3 years ago

Which equation is true?

enot [183]

Lets solve all of these:-

#1

√361 = 361 · 2

?
√361 = 361 · 2
√361 = 19
361 · 2 = 722

19 ≠ 722
So this equation is not true

#2:-

√361 = 19²

?
√361 = 19²
√361= 19
19² = 19 · 19 = 361

19 ≠ 361
So this equation is not true

√361 = 361 ÷ 2

?
√361 = 361 ÷ 2
√361 = 19
361 ÷ 2 = 180.5

√361 ≠ 361 ÷ 2
So this equation is not true

√361 = √19²
√361 = 19
√19² = 19

19 = 19

SO the last one is right. Hope I helped ya!! xD

4 0

3 years ago

Please help me!<br> I need help really fast

Alexus [3.1K]

Answer:

Step-by-step explanation:

Jim will finish in 6 days because 300/50=6

So you know that Sam needs to finish the book in at exactly 4 days

300/4= 75 pages per day

6 0

3 years ago

Read 2 more answers