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3 years ago

Triangle angle-sum theorem what is the value of u?

Mathematics

1 answer:

telo118 [61]3 years ago

7 0

Answer:

u = ${\boxed{\sf{\: 3 \:}}}$ ⁰

Step-by-step explanation:

As we know that the sum of interior angles of triangle is 180⁰.

So, according to the question :

$\begin{gathered} \qquad{\longrightarrow{\sf{Sum \: of \: all \: angles = {180}^{\circ}}}}\\\\ \qquad{\longrightarrow{\sf{{74}^{\circ} + {52}^{\circ} + 18u = {180}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{{126}^{\circ} + 18u = {180}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{18u = {180}^{\circ} - {126}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{18u = {54}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{u = \dfrac{54}{8}}}}\\\\\qquad{\longrightarrow{\sf{u = {3}^{\circ}}}}\\\\ \qquad\star{\underline{\boxed{\frak{\pink{u = {3}^{\circ}}}}}}\end{gathered}$

Hence, the value of u is 3⁰.

$\rule{300}{2.5}$

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GREYUIT [131]

1.
12 liters of 26% acid solution contain $26\% \times 12=0.26 \times 12=3.12$ liters of acid.
x liters of 40% acid solution contain $40\%x=0.4x$ liters of acid.
The third solution is made from the two mixed solution so its volume is $12+x$ , and the volume of acid in it is $0.4x+3.12$ . Its concentration is 33% or 0.33.
The concentration of a solution is the volume of the solution divide by the volume of acid in it.

$\frac{0.4x+3.12}{12+x}=0.33 \\ 0.4x+3.12=0.33(12+x) \\ 0.4x+3.12=3.96+0.33x \\
0.07x=0.84 \\
x=12$

The answer is B.

2.
12 liters of 16% acid solution contain $16\% \times 12=0.16 \times 12=1.92$ liters of acid.
x liters of 40% acid solution contain $40\%x=0.4x$ liters of acid.
The volume of the third solution is $12+x$ , and the volume of acid in it is $0.4x+1.92$ . Its concentration is 32% or 0.32.

$\frac{0.4x+1.92}{12+x}=0.32 \\
0.4x+1.92=0.32(12+x) \\
0.4x+1.92=3.84+0.32x \\
0.08x=1.92 \\
x=24$

The answer is B.

3.
16 liters of 18% acidsolution contain $18\% \times 16=0.18 \times 16=2.88$ liters of acid.
x liters of 27% acid solution contain $27\%x=0.27x$ liters of acid.
The volume of the third solution is $16+x$ , and the volume of acid in it is $0.27x+2.88$ . Its concentration is 21% or 0.21.

$\frac{0.27x+2.88}{16+x}=0.21 \\
0.27x+2.88=0.21(16+x) \\
0.27x+2.88=3.36+0.21x \\
0.06x=0.48 \\
x=8$

The answer is A.

5 0

4 years ago

Give a base class with at least one public member function, how many child classes can redefine that member function? a. 1 b. 0

solong [7]

Answer:

C. All of them

Step-by-step explanation:

The base class is the super/parent class of a child class; so a child class inherit from a base class.

When a child class inherit from a base class; it have access to redefine the member function that is declared public. 'public' is an access modifier which means it can be access from outside the class and modified.

Therefore, all the child class which inherit the base class can redefine the member function that are public.

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3 years ago

What radius of a circle is required to inscribe a square with an apothem of 4.95 inches

Nuetrik [128]

The radius of a circle that is required to inscribe a square with an apothem of 4.95 inches is 7

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3 years ago

HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

miv72 [106K]

Answer:

Step-by-step explanation:

The volume (V) of water in the tank is calculated as

V = lbh (l is length, b is breadth and h is height )

Here l = 80, b = 40 and h = 50 , then

V = 80 × 40 × 50 = 160000 cm³

V ( in litres) = 160000 ÷ 1000 = 160 litres , then

number of times = 160 ÷ 10 = 16

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3 years ago

¡¡¡40 POINTS!!!HELP ASAP!!

Nataly_w [17]

Hi there!

To start, we can use the two points to find the slope using the formula y2-y1/x2-x1. Just sub in the points and solve!

-0.5-0.5/3-(-3)
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Sub that into the formula y-mx+b for m, and use one of the points for x and y - solve for b and you get your equation.

y=mx+b
y=-1/6x+b
0.5=-1/6*-3+b
0.5=-0.5+b
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Therefore your equation is y=-1/6x+1

Hope this helps!

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3 years ago