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
dalvyx [7]
3 years ago
10

Please help with geometry question

Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0

Answer:

m∠J = 45° , m∠I = 45° and m∠M = 90°

And the ΔJIM is an isosceles right angled triangle.

Step-by-step explanation:

(a). In ΔJIM,

∠J = 2x + 15,

∠I = 5x - 30, and

∠M = 6x

Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°

⇒ ∠J + ∠I + ∠M = 180°

⇒ 2x + 15 + 5x - 30 + 6x = 180°

⇒ 13x -15 = 180°

⇒ 13x = 195

⇒ x = 15

Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°

(b). Now, ΔJIM is a right angled triangle right angled at M.

Also, ∠J = ∠I = 45°

So, JM = IM ( because in a triangle sides opposite to equal angles are equal)

So, ΔJIM is an isosceles triangle because its two sides are equal.

Hence, ΔJIM is a right angled isosceles triangle right angled at M.

You might be interested in
Jasmine bought a ticket to the Jets game. She got a 25% discount on her ticket but then had to pay a 10% service fee on the disc
Orlov [11]

Answer:

15%

Step-by-step explanation:

7 0
2 years ago
What is the measure of the indicated arc in radians?
iogann1982 [59]

Answer:

D is the right one

Step-by-step explanation:

π radian = 180 degree

-> 135 degree = \frac{135}{180} π radian

-> 135 degree = 0.75 * π  radians = 3π/4 radian

5 0
3 years ago
Factor the perfect square trinomials<br>a2+20a+100​
sukhopar [10]

Answer:

-10

Step-by-step explanation:

a^{2} +(10+10)a+100

a^{2} +10a+10a+100

a(a+10)+10(a+10)

(a+10)(a+10)

so,a=-10

6 0
3 years ago
Tell whether the angles are adjacent, vertical, complementary, or supplementary. Then find the value of x
loris [4]

x=70 vertical opposite

3 0
2 years ago
Read 2 more answers
X=y-1 y=(4-2x) solve by substition
Nataliya [291]
Since you have an equation equal to both x and y, you can either substitute the equation equal to x for x or the equation equal to y for y.
x=y-1
y=4-2x
I would substitute the y in using 4-2x
x=(4-2x)-1
x=3-2x
3x=3
x=1
Then plug in x and solve for y
1=y-1
2=y
5 0
3 years ago
Other questions:
  • What is 65/200 simplified
    9·2 answers
  • Find the value of a and b when x = 12<br> a = 5x
    12·2 answers
  • Is it the one I have selected or the bottom one? I feel like a trick question
    7·1 answer
  • Algebra like terms help plz.
    11·1 answer
  • Which description is correct for the polynomial 5x³?
    9·2 answers
  • What is the value of x?
    12·2 answers
  • In a survey of 2,300 people who owned a certain type of​ car, 1,150 said they would buy that type of car again. What percent of
    11·1 answer
  • Solve the following inequality. Use interval notation. ​
    7·1 answer
  • A game of chance is begun. You will pick one number out of 300. If your number is picked you win $30,000. At what point is it no
    12·1 answer
  • Write the equation of the line in slope intercept form that goes through points (-2, 5) and (3, 3)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!