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
Ostrovityanka [42]
3 years ago
11

12. Find the value of x. (2 points - 1 point for equation, 1 point for answer)

Mathematics
1 answer:
Viktor [21]3 years ago
5 0
Answer: x = 7

-----------------------------------------

Angle STU is 15x. This is the exterior angle on the right side of the triangle
Subtract this from 180 to get angle RTS

angle RTS = 180 - (angle STU)
angle RTS = 180 - 15x

Focus solely on triangle RTS. If needed, erase the portion that extends out toward point U
If we focus on the triangle only, then angle R = angle T since they are the base angles of the isosceles triangle. We know that triangle RST is isosceles since RS = ST is given to us.

Because angle R = angle T, we know 
angle R = 180-15x
angle T = 180-15x
and we also know
angle S = 4x+2
since that's given as well

Add up the three angles and set that sum equal to 180. Then solve for x
R+S+T = 180
(180-15x)+(4x+2)+(180-15x) = 180
(-15x+4x-15x) + (180+2+180) = 180
-26x + 362 = 180
-26x + 362-362 = 180-362
-26x = -182
-26x/(-26) = -182/(-26)
x = 7
You might be interested in
How can help me on this <br><br><br> the blank one if the one I need help one btw
Serga [27]

Answer:

0

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The tangents to the curve with equation y = x^3-3x at the points A and B with x coordinates −1 and 4 respectively meet at the po
sladkih [1.3K]

Answer:

\displaystyle C=\left(\frac{26}{9}, 2\right)

Step-by-step explanation:

We need to find the equation of the tangent lines of Points A and B.

Differentiate the equation:

\displaystyle \frac{dy}{dx}=3x^2-3

Point A has an <em>x-</em>coordinate of -1. Hence, the slope of its tangent line is:

\displaystyle \frac{dy}{dx}\Big|_{x=-1}=3(-1)^2-3=0

Find the <em>y-</em>coordinate of Point A using the original equation:

y(-1)=(-1)^3-3(-1)=2

Hence, Point A is (-1, 2).

Thus, the tangent line at Point A is:

y-2=0(x-(-1))

Simplify:

y=2

Point B has an <em>x-</em>coordinate of 4. Hence, the slope of its tangent line is:

\displaystyle \frac{dy}{dx}\Big|_{x=4}=3(4)^2-3=45

Find the <em>y-</em>coordinate of Point B:

y(4)=(4)^3-3(4)=52

Thus, Point B is at (4, 52).

So, the tangent line at Point B is:

y-52=45(x-4)

Simplify:

y=45x-128

Point C occurs at the intersections of the tangent lines of Points A and B. Set the two equations equal to each other and solve for <em>x: </em>

2=45x-128

We acquire:

\displaystyle x=\frac{26}{9}

Since one of our equations is <em>y</em> = 2, the <em>y-</em>coordinate is 2.

Hence, Point C is:

\displaystyle C=\left(\frac{26}{9}, 2\right)

5 0
3 years ago
Read 2 more answers
Tim and Dan were playing football against Jason and Luke.Touchdowns are worth 7 points .Tim and Dad scored 4 touchdowns. Jason a
makkiz [27]

Answer:

35, if Tim and Dan scored 4 together, 7 if each scored 4 touchdowns

6 0
3 years ago
35 points + brainliest!
jarptica [38.1K]

Answer:

x= -2-√11. or. x= -2 + √11

Step-by-step explanation:

solving quadratic equation by completing the square

x^2+4x-7=0

x^2+4x=7

x^2+4x + (4/2)^2=7 + (4/2)^2 ( adding (1/2 coefficient of x)^2 on both sides

x^2+4x + 4=7 + 4

x^2+4x + 4=11. factorize(x^2+4x + 4) into (x + 2)^2

(x + 2)^2=11

√(x + 2)^2= + - √11

x + 2 = + - √11

there are two different solution .

x + 2 = -√11. or x + 2 = + √11.

x= -2-√11. or. x= -2 + √11.

8 0
3 years ago
“The length of the unknown side has to be greater than ___ and less than ___.” PLEASE HELP, WILL GIVE BRAINLIEST
BartSMP [9]

Answer:

7< 8

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Someone help me please!
    10·1 answer
  • Round 21.98 to the nearest hundredth
    13·2 answers
  • Which point is on the line that passes through point R and is perpendicular to line PQ? (–6, 10) (–4, –8) (0, –1) (2, 4)
    12·2 answers
  • The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the
    5·2 answers
  • PLEASE HELP AND SHOW WORK ILL GIVE BRAINLIEST
    12·1 answer
  • CaN YOu HeLP Me PleAse????????
    11·1 answer
  • Plzzzz help What is the remainder of:
    12·1 answer
  • If m&lt;4 = 108 , what is the measure of &lt;6
    6·1 answer
  • Who is correct alex or jo
    6·1 answer
  • Samantha bought a television at a 25% discount. The original price of the television was $349.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!