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Debora [2.8K]
3 years ago
12

I need help on this question please ​

Mathematics
1 answer:
Lina20 [59]3 years ago
5 0

Answer:

(2x+2)+(x+34)=180°[by linear pair]

3x+36=180°

3x=180°-36°

3x=144

x=144/3

x=48

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Plz help will give brainliest and points
PilotLPTM [1.2K]
The answer is C wnmdkdkdkdkdkdkdkdkdkdkd
6 0
3 years ago
Find the values of a and b such that<br> x^2 + 3x + 4 = (x + a)^2+ b
sesenic [268]

Answer:

x {}^{2}  + 3x + 4 = (x  + a) {}^{2}  + b \\ x {}^{2}  + 3x + 4 = x {}^{2}  + 2ax + a {}^{2} + b \\   = x {}^{2}  + a {}^{2}  + 2ax + b \\  2a = 3 \\ b = 4 \\ a  =  \frac{3}{2}  \\ b = 4

8 0
3 years ago
A chemist wants to make 100 liters of a 44% acid solution. She has solutions that are 20% acid and 60% acid.
alexgriva [62]

the first solution is 20% acid, and say we'll be using "x" liters, so how many liters of just acid are in it?  well 20% of "x" or namely 0.2x.  Likewise for the 60% acid solution, if we had "y" liters of it, the amount of only acid in it is 0.6y.

\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ \textit{1st solution}&x&0.20&0.2x\\ \textit{2nd solution}&y&0.60&0.6y\\ \cline{2-4}&\\ mixture&100&0.44&44 \end{array}~\hfill \begin{cases} x+y=100\\\\ 0.2x+0.6y=44 \end{cases}

x+y=100\implies y=100-x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.2x+0.6(100-x)=44} \\\\\\ 0.2x+60-0.6x=44\implies -0.4x+60=44\implies -0.4x=-16 \\\\\\ x=\cfrac{-16}{-0.4}\implies \boxed{x=40}~\hfill \boxed{\stackrel{100-40}{y=60}}

7 0
2 years ago
A projectile is shot into the air following the path,h(x) = - 5t2 + 20t + 3. At what time will it reach a maximum height? t = 1
kramer

Answer:

t = 2

Step-by-step explanation:

Notice that this expression for the projectile's path is that of a quadratic function with negative leading term. The graph of it therefore consists of a parabola with the branches pointing down (due to he negative leading coefficient). Therefore, the maximum of such parabola will reside at its vertex.

Recall that the formula for the position of the vertex in a general parabolic function of the form: y(x)=ax^2+bx+c, is given by the expression: x_{vertex}=-\frac{b}{2a}

In our case, the variable "x" is in fact "t", the leading coefficient (a) is -5, and the coefficient for the linear term (b) is 20.

Therefore, the maximum of the path will be when t=-\frac{20}{2(-5)} =\frac{20}{10} =2

7 0
3 years ago
Triangles F G H and F J H share common side F H. Sides F G and G H are congruent. Sides F J and J H are congruent.
OlgaM077 [116]

ΔFGH is congruent to ΔFJH They are not congruent because only one pair of corresponding sides is congruent.

The correct option is (C)

<h3></h3><h3>What is Congruency?</h3>

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Given:

ΔFGH and ΔFJH share common side FH. Sides FG and GH are congruent.

As, per the information, it can be seen that the triangles are not congruent as one pair of corresponding side is not congruent.

Learn more about congruency here:

brainly.com/question/7888063

#SPJ1

3 0
2 years ago
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