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
GrogVix [38]
3 years ago
15

< 5 and <7 are vertical angles.

Mathematics
1 answer:
marishachu [46]3 years ago
7 0

Answer:

value of x = 19°

Step-by-step explanation:

we know that vertical opposite angles are equal hence Angle 5 = Angle 7

so,

  • 5x+10 = 105°
  • 5x = 95°
  • x = 19°

hence value of x = 19°

You might be interested in
5. Find the point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides
ASHA 777 [7]
Consider point P(x,y) such that P, X and Y are collinear,

As vectors

XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)

Similarly,

PY = (6-x, -3-y)

But XP= 2^PY

[x+3, y-3] = [2(6-x), 2(-3-y)]

Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:

x+3 = 12 - 2x

x = 3

y-3 = -6-2y

y = -1

Therefore, P(3,-1)

6 0
2 years ago
While traveling to Europe phlegm exancheged 250 US dollars he spent 150 euros on his trip after returning to the United States h
anzhelika [568]
1euro = 1.3687 USD 

So 150 Euros = 150*1.3687 USD 

=<span>205.305 USD 

So he spent $205.305 USD on his trip. 

He started off with $250 so to find the amount left we just take 

250 - 205.305 

= $44.695 

Or 44 dollars and 69.5 cents. It's a weirdly exact amount, sure, but the question had a very precise exchange rate, so we'll assume this is fine. </span>
4 0
3 years ago
he equation a = a equals StartFraction 180 left-parenthesis n minus 2 right-parenthesis Over n EndFraction. represents the angle
irina1246 [14]

Answer:

give more info ;)

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Consider the line shown on the graph. Enter the
Semenov [28]

<h2>Solution -</h2>

From the graph, we concluded that line passes through the points (0, 3) and (1, 4) respectively.

So, slope of the line (m) passing through the points (a, b) and (c, d) is

m = d - b/ c - a

<h3>So, on substituting the values, we get </h3>

m = 4 - 3 / 1 - 0 = 1/1 = 1

Also, line makes an intercept of 3 units in positive direction of y - axis.

So, c = 3

<h3>So, Equation of line is given by</h3>

y = mx + c

y = 1 × x + 3

<h3>y = x + 3</h3>

<h3>Alternative Method :-</h3>

We know, Equation of line passing through the points (a,b) and (c, d) is given by

y - b = d - b / c - a (x - a)

<h3>Here,</h3>

a = 0

b = 3

c = 1

d = 4

<h3>So, on substituting these values in above result, we get :-</h3>

y - 3 = 4 - 3 /1 - 0 ( x - 0 )

y - 3 = 1/1 ( x - 0 )

y - 3 = x

<h3>y = x + 3</h3>

<h3>Different forms of equations of a straight line :-</h3>

1. Equations of horizontal and vertical lines

Equation of line parallel to x - axis passes through the point (a, b) is y = b.

Equation of line parallel to y - axis passes through the point (a, b) is x = a.

<h3>2. Point-slope form equation of line</h3>

Equation of line passing through the point (a, b) having slope m isy - b = m(x - a)

<h3>3. Slope-intercept form equation of line</h3>

Equation of line which makes an intercept of c units on y axis and having slope m is y = mx + c.

<h3>4. Intercept Form of Line</h3>

Equation of line which makes an intercept of a and b units on x - axis and y axis respectively is x/a + y/b = 1.

<h3>5. Normal form of Line</h3>

Equation of line which is at a distance of p units from the origin and perpendicular makes an angle B with the positive X-axis is x cosB + y sinB = p.

<h2 />

8 0
2 years ago
Perform the indicated operation. PLEASEE HELPP HURRYY!! (3 + i) + (5 + 7i) = A) -2 + 6i B) 2 + i C) 8 + 6i D) 8 + 8i
Dovator [93]

Answer:

\boxed{ \bold{  \huge{ \boxed{ \sf{8 + 8i}}}}}

Option D is the correct option.

Step-by-step explanation:

\sf{(3 + i) + (5 + 7i)}

When there is a ( + ) in front of an expression in parentheses , there is no need to change the sign.

That means, the expression remains the same.

Just remove the unnecessary parentheses

⇒\sf{3 + i + 5 + 7i}

Collect like terms and simplify

⇒\sf{3 + 5 + i + 7i}

⇒\sf{8 + 8i}

Hope I helped!

Best regards!!

7 0
2 years ago
Other questions:
  • The perimeter of a square is 32. What is the area of the square?
    15·1 answer
  • David drops a ball from a bridge at an initial height of 100 meters.
    6·1 answer
  • PLEASE HELP! 11 POINTS, I KNOW THATS A LITTLE BIT, BUT IF YOU DO HELP WITH THESE 5 EASY QUESTIONS ILL BE SURE TO GIVE U BRAINIES
    6·1 answer
  • suppose that the local sale tax is 4% and you purchase a car for $14,400. How much tax is paud? What is the car total cost?
    13·1 answer
  • PLEASE HELP! An angle's measure is equal to 24 less than its complement. Find the measure of the angle.
    9·1 answer
  • Six Flags Amusement Park has found that 3/5 of its customers ride the Colossus roller coaster. Of these, 1/4 ride it again. What
    12·1 answer
  • The ratio of mikes savings to nicks savings was 4:3 after mike saved another $120 and nick saved another $60 the ratio became 8:
    10·1 answer
  • Number 4<br><br><br> I WILL MARK BRAINLIEST
    13·1 answer
  • Leonard made the 3-d shape below for an art project. He wants to paint it blue.
    5·1 answer
  • Subtract:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!