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borishaifa [10]
3 years ago
11

Find the value of x and then classify the triangles

Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0
6. x = 16; it's a scalene triangle

7. x = 45; it's a right triangle. 
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What is the value of x?
nexus9112 [7]

Answer:

  a.  72°

Step-by-step explanation:

The sum of angles in a triangle is 180°. The two base angles of an isosceles triangle (one with two congruent sides) are congruent, so we have ...

  54° + 54° + x° = 180°

  x° = 180° - 108°

  x° = 72°

7 0
3 years ago
Find the solutions to the system of equations. Select all that apply.
DochEvi [55]

Answer:

<h2>D. (-1, -3)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=x^2-4&(1)\\y=-2x-5&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\x^2-4=-2x-5\qquad\text{add}\ 2x\ \text{and 5 to both sides}\\\\x^2+2x+1=0\\\\x^2+x+x+1=0\\\\x(x+1)+1(x+1)=0\\\\(x+1)(x+1)=0\\\\(x+1)^2=0\iff x+1=0\qquad\text{subtract 1 from both sides}\\\\x=-1\\\\\text{put the value of}\ x\ \text{to}\ (2):\\\\y=-2(-1)-5\\\\y=2-5\\\\y=-3

6 0
3 years ago
Read 2 more answers
How many circles with a 3ft radius could fill a 100 square foot (10ft x 10ft) space without overlap?
Alborosie

Answer:

1

Step-by-step explanation:

Considering that the circle has radius of 3ft to mean its diameter is twice the radius hence 6 ft

Given that the length of the square is 10 ft

10÷6=1 ⅔ hence only 1 circle

10-6=4 ft

The space of 4ft can't allow another circle to fit without an overlap. Therefore, only one circle can fit

4 0
4 years ago
Heather wants to buy a new refrigerator, but she only has room for one that is 18 ft3 or less. Which set of dimensions represent
Naddika [18.5K]
That would be A.
(2)(2.5)(3) = 15 ft^3
5 0
3 years ago
Read 2 more answers
Determine the vertex of the function f(x) = 2(x − 5)2 + 8.
choli [55]

Answer:

Vertex ( 5 ,8) .

Step-by-step explanation:

Given  : f(x) = 2(x − 5)² + 8.

To find : Determine the vertex of the function .

Solution : We have given

f(x) = 2(x − 5)² + 8.

Vertex form of parabola  : f (x) = a(x - h)² + k, where (h, k) is the vertex.

On comparing f(x) = 2(x − 5)² + 8. with vertex form of parabola.

a = 2 , h = 5 , k = 8 .

Vertex ( 5 ,8) .

Therefore, Vertex ( 5 ,8) .

7 0
3 years ago
Read 2 more answers
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