Answer:
No solution
Step-by-step explanation:
I used this online calculator to find the answer. It shows the steps and everything. https://www.symbolab.com/solver?or=gms&query=2x%2B3y%3D62x%2B3y%3D7
Answer:
N.14 ABC = 5x+20, N.15 ABE = 90. N.16. 123, 29, 28. N.17 K = 80
Step-by-step explanation:
Because of vertical angles, 5x+20 = 3x+66.
5x=3x+46
2x = 46
x = 23
Sum of angles in a circle is 360
360-135-135=180
ABE = CBD because vertical angles.
180 / 2 = 90
16.
Sum of angles in triangle is 180
180=123-x-2-x-3
x = 31
123, 29, 28.
17.
Sum of angles in triangle is 180
180-72-28 = 80
K = 80
Answer:
8 ft, 15 ft, 17 ft
Step-by-step explanation:
Let x feet be the length of the side along the building. If the hypotenuse is 9 feet longer than the side along the building, then the length of the hypotenuse is x+9 feet. If the third side is 7 feet longer than the side along the building, then the length of the third side is x+7 feet.
This triangle is right triangle. By the Pythagorean theorem,
The length of the side cannot be negative, thus x=8 ft. Then x+7=15 ft, x+9=17 ft.
Answer:
5xyz
Step-by-step explanation:
10x^2 y^2z and 15xyz^2
Rewriting
2*5*x*x*y*y*z and 3*5 *x*y*z*z
What is common to both terms
5 x y z
The greatest common factor is 5xyz
Answer:
The triangle has one solution. The remaining side c ≈ 4 and remaining angles B = 30°; C = 31°.
Option D is correct.
Step-by-step explanation:
if angle A is obtuse and if a > b then the triangle has one solution
We are given ∠ = 119° which is obtuse and side a= 7 and side b - 4 i.e 7>4 so, the triangle has one solution.
Finding remaining side c and ∠B and ∠C
Using Law of sines to find ∠B
a/sin A = b/sin B
7/sin 119° = 4/sin B
7 * sin B = 4 * sin 119
7*sin B = 4(0.874)
sin B = 3.496/7
B = sin^-1(0.4994)
B = 29.96 = 30°
We know that sum of angles of triangle = 180°
So, 180° = 119° + 30° +∠C
180° = 149° + ∠C
=> ∠C = 180° - 149°
∠C = 31°
Now finding c
b/sin B = c /sin C
4/Sin 30 = c/sin 31
4* sin 31 = c*sin 30
4*0.515 = c* 0.5
=> c = 4*0.515/0.5
c = 4.12 ≈ 4
So, Option D one solution; c ≈ 4; B = 30°; C = 31° is correct.
