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svet-max [94.6K]
2 years ago
12

Find the value of X

Mathematics
1 answer:
olchik [2.2K]2 years ago
5 0
<h3>Answer:  112</h3>

=========================================================

Explanation:

The angle adjacent to the 146 degree angle is 180-146 = 34 degrees.

In other words, the angles 34 and 146 combine to 180. These angles are supplementary.

The tickmarks on this triangle tell us it is isosceles. The angles opposite the congruent sides are congruent angles. So the unmarked interior angles (not marked x) are 34 degrees each.

Now use the fact that any triangle has its interior angles always add to 180

x+34+34 = 180

x+68 = 180

x = 180-68

x = 112

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4p-10&lt;6p-8 or 10p+16&lt;9p-3
Finger [1]

Answer:

p>-1    or    p<-19

Step-by-step explanation:

4p-10<6p-8 (add 10 to each side)

4p< 6p+2 (subtract 6p from each side)

-2p<2  (divide by -2 and switch the sign)

p>-1

10p+16<9p-3 (subtract 16 from each side)

10p<9p+-19 (subtract 9p from each side)

p<-19

8 0
3 years ago
Write an equation in standard form of the hyperbola described.
marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}

5 0
2 years ago
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND DOUBLE POINTS
allochka39001 [22]

Hey there!

They are both correct, and their expressions are equivalent.'

9(S + T) + 45 = 9S + 9T + 45

Have a terrificly amazing day!

8 0
3 years ago
What is 10 months after July
Maksim231197 [3]
May is the 10th month after july
7 0
3 years ago
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Graph the system of equations on your graph paper to answer the question. {y=−3x+9y=−x−5 What is the solution for the system of
marysya [2.9K]

y=−3x+9 slope of this equation is -3 and y-intercept is 9

Plot the y -intercept first which is 9 and mark the points using the slope which is -3. Join the points. So blue line in the graph is y = -3x+9

y=−x−5 slope of this equation is -1 and y intercept is -5

Plot the y -intercept first which is -5 and mark the points using the slope which is -1 . Join the points. So pink line in the graph is y = -x-5

The intersection point of these two lines gives you the solution.

The coordinates of point of intersection (7,-12)


7 0
3 years ago
Read 2 more answers
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