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2 years ago

Find the value of x in the triangle shown below.

Mathematics

1 answer:

Bas_tet [7]2 years ago

6 0

can u pls provide the diagram

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Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need…

nata0808 [166]

Whatever% of anything, is just (whatever/100) * anything.

the syrup is going to be 5lbs total, that includes the sugar in it as well as the water mix.

keeping in mind that the syrup will be a 1.5% syrup, namely 1.5% of it will be sugar, the rest just water then, how much is 1.5% of 5?

well, is just(1.5/100) * 5 or 0.075, namely lbs.

so, 0.075 lbs will be sugar and the rest water, the rest will be 5 - 0.075, or 4.925 lbs.

7 0

2 years ago

The size of a TV is measured by its diagonal. You want to buy a TV that has a 32

ANEK [815]

The width of the TV is 27.9 inches

Step-by-step explanation:

Given,

Diagonal of TV = 32 inch

Height of TV = 15.7 inch

The diagonal makes the TV into a right triangle,

Therefore,

Diagonal = hypotenuse = c = 32 inch

Height = perpendicular = a = 15.7 inch

Width = base = b

Using pythagoras theorem

$a^2+b^2=c^2\\(15.7)^2+b^2=(32)^2\\246.49+b^2=1024\\b^2=1024-246.49\\b^2=777.51$

Taking square root on both sides

$\sqrt{b^2}=\sqrt{777.51}\\b=27.88$

Rounding off to nearest tenth

b = 27.9 inches

The width of the TV is 27.9 inches

Keywords: Pythagoras theorem, square root

Learn more about square root at:

#LearnwithBrainly

7 0

2 years ago

Interior and Exterior Triangle Angles

Luden [163]

Sum of two interiors=exterior

$\\ \rm\bull\rightarrowtail 2x-3+2x+15=7x-18$

$\\ \rm\bull\rightarrowtail 4x+12=7x-18$

$\\ \rm\bull\rightarrowtail 3x=30$

$\\ \rm\bull\rightarrowtail x=10$

m<GHI=2(10)-3=17

6 0

1 year ago

I need to show how to find these solutions 1/4 and 3/4 by completing the square!

Arlecino [84]

Answer:

See explanation, and ask for more details if unclear!

Step-by-step explanation:

The perfect square of this equation is $x^2-x+\frac{1}{4}$ , since the square would be $(x-\frac{1}{2})^2$ . 1/4=4/16, meaning that you can set up the equation in the following way: