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Olegator [25]
2 years ago
7

The ratio of the measure of the vertex angle to the base angle of an isosceles triangle is 8:5. Find the measure of the vertex a

ngle.(Please)
Mathematics
1 answer:
Pie2 years ago
8 0

Answer:

Step-by-step explanation:

The two base angles are equal.

The vertex angle is 8x

The two base angles are 5x + 5x

The sum of all three angles = 180 degrees (all triangles make 180 degrees when their interior angles are added).

5x + 5x + 8x = 180

18x = 180

x = 180/18

x = 10

Therefore the vertex angle is 8*10 = 80 degrees

One of the base angles = 10* 5 = 50 degrees

The other base angle = 50 because the triangle is isosceles.

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If 2.22 moles of ammonia (NH3 ) decomposes according to the reaction shown, how many moles of hydrogen (H2 ) are formed? A. 1.11
egoroff_w [7]

Answer:

C. 3.33 moles

Step-by-step explanation:

Ammonia decomposes

2NH_3\rightarrow N_2+3H_2

We have to find the moles of hydrogen formed in 2.22 moles of ammonia.

From the reaction

2 moles of ammonia gives 3 moles of hydrogen

1 mole of ammonia  produce hydrogen=3/2 moles

2.22 moles of ammonia produces hydrogen=\frac{3}{2}\times 2.22 moles

Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia

=\frac{6.66}{2}=3.33moles

Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.

Option C is true.

C. 3.33 moles

7 0
3 years ago
A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together
dybincka [34]

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

The equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

<h3>What is allegation?</h3>

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

Given information-

A scientist needs 10 L of a solution that is 60% acid.

The percentage of two acid solution are 50% and 90%.

Variable<em> x</em><em> </em>represent the number of liters of the 50% solution.

Variable<em> y </em>represent the number of liters of the 90% solution.

Quantity of acid from 50% solution is 0.5x liters, and quantity of acid from 90% solution is 0.9x liters.

As the scientist needs 10 L of a solution that is 60% acid. Therefore the quantity of acid in 60 percent acid solution is,

a=10\times\dfrac{60}{100} \\a=6

Thus 6 liters of acid required by the scientist. As to get the 6 liters of acid from 50% and 90 percent solution, we need to add the amount of acid in these solutions.Thus,

0.5x+0.9y=6

This is the required equation.

Hence the equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

Learn more about the mixture and allegation  here;

brainly.com/question/24372098

8 0
3 years ago
4x=2 solve for X<br><img src="https://tex.z-dn.net/?f=4x%20%3D%202%20solve%20for%20x" id="TexFormula1" title="4x = 2 solve for x
Bogdan [553]
X=1/2 hope this helps <3
3 0
3 years ago
Read 2 more answers
Write without exponents<br> (Y^3)^2
Alexxx [7]

Answer:

y*y*y*y*y*y

Step-by-step explanation:

(y^3)^2= Y^(3*2)=y^6 or y*y*y*y*y*y

3 0
3 years ago
Find the larger consecutive integers such that the sum of twice the smallest and three times
Dimas [21]

The answer is 1................

6 0
3 years ago
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