1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
krek1111 [17]
3 years ago
8

Solve each triangle for x.

Mathematics
1 answer:
natulia [17]3 years ago
8 0

Answer:

56 deg

Step-by-step explanation:

All internal angles of a triangle add up to 180 degrees

hence,

∠O + ∠R + ∠F = 180

x + (x+43) + (x-31) = 180

x + x+43 + x -31 = 180

3x+ 12 = 180

3x = 180 - 12 = 168

x = 168/3 = 56 deg

You might be interested in
What is the interquartile range of this data set? Enter your answer in the box​
guapka [62]
37
Line up the data, separate into quarters
Take the highest number in the 3rd quarter from the lowest in the 2nd

3 0
2 years ago
Read 2 more answers
How to locate root 7 on numberline
Andru [333]
First draw a number line both +ve and -ve integers and first represent root 2 on the number line and then root 3 and 4 5 6 and at last repesent 7 on it 
8 0
3 years ago
HELP ME BRAINLIEST<br>Does this graph represent a proportional relationship? Explain.
alexira [117]
I don't see any relationship...

A proportion can be written as an equation and equations are lines....
8 0
2 years ago
Read 2 more answers
I really am bad with math and just have given up
Slav-nsk [51]
Well hmmm does the graph open upwards or downwards?  well
is a quadratic, if the leading term's coefficient is negative, Down, if positive, Up

a)
now, let's see the leading term, -x², what's its coefficient? is -1 * x² or -1x², is -1, so is negative, thus is opening downwards

c)
x-intercepts occur, when y = 0, namely y = -x²-4x-3, so setting y to 0
0 = -x² -4x -3 take a common factor of -1, thus

0 = -1 (x²+4x+3)  <--- now, if we factor that out, notice, surely you've done many of these by now, so we end up with 

\bf \begin{array}{lcclll}&#10;0=x^2&+4x&+3\\&#10;&\uparrow &\uparrow \\&#10;&3+1&3\cdot 1&#10;\end{array}\\\\&#10;-----------------------------\\\\&#10;0=(x+3)(x+1)\implies &#10;\begin{cases}&#10;0=x+3\implies &-3=x\\&#10;0=x+1\implies &-1=x&#10;\end{cases}

so, the x-intercepts are at -3 and -1

d)

now, the y-intercepts, just set x = 0
y = -x²-4x-3, settting x to 0 y = -0²-4(0)-3, which is y = -3

so the sole y-intercept is at y = -3


now, let's get on to b)

b)   \bf \textit{vertex of a parabola}\\\\&#10;&#10;\begin{array}{lccclll}&#10;f(x)=&-1x^2&-4x&-3\\&#10;&\uparrow &\uparrow &\uparrow \\&#10;&a&b&c&#10;\end{array}\qquad &#10;\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)

and those are the coordinates, notice a = -1, b = -4 and c = -3

now, for

e)

well, all you have to do is, once you have the vertex, pick an x-value on the left-hand-side of the vertex, get they value for "y", or OUTPUT,

then pick another x-value, on the right-hand-side of the vertex, get the "y" value again, and plot away
7 0
3 years ago
Determine the possible side lengths of the third side of a triangle with known side lengths of 5 and 8.
andre [41]

Answer:

40

Step-by-step explanation:

8 times 5=40

8 0
3 years ago
Read 2 more answers
Other questions:
  • ANSWER PLEASE! 14 points if you do
    14·1 answer
  • The table below shows the weekly change in the price of one gram of gold for four weeks.
    12·1 answer
  • Math 8th grade anybody help me
    12·1 answer
  • Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of th
    10·1 answer
  • How much would it cost him in interest over 5 months if he used card A to make the purchase?
    8·1 answer
  • What is the value of a? -2(a-8)+6a=36
    9·2 answers
  • A bag contains 7 good apples and 3 bad apples. Nick takes two apples at random from the box, WITHOUT replacement.
    6·1 answer
  • Please help me with this problem..
    9·1 answer
  • What is the volume of this rectangular prism? e) 4 in. 4 in. 5 in.​
    9·2 answers
  • Determine the scale factor for triangle ABC to Triangle A'B'C'.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!