Answer:
Step-by-step explanation:
hello :
y=6x...(*)
y = 5x + 7...(**)
by (*) put the value of y in(**) :
6x=5x+7
6x-5x=7
x=7 but y=6x so : y=42
the system solution is (7,42)
The answer would be $50 per blender.
To explain the way I did it --
Toaster ovens - 70 * 5 = 350
70 - 20 = 50
Blenders - 50 * 3 = 150
350 + 150 = 500
Pythagorean Theorem: a^2+b^2=c^2
Plug in values.
15^2+sqrt(207)^2=(12sqrt(3))^2
225+207=432
432=432
Yes, this is a right triangle.
The measure of length ST will be 6.4 So option B is correct.
<h3>What is a circle?</h3>
A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
Given; M≅N and ZY=32.6
Identify ST;
Radius of the circle r = 24
We know that from pythagoras theorem;
ZP^2 + PM^2 = ZM^2
Also, 2 ZP = ZY
So,
16.3^2 + PM^2 = 24^2
PM^2 = 310.7
PM = 17.6
Since, M≅N then PM = SN.
therefore, SN = 17.6
ST = 24 - 17.6 = 6.4
Hence, The measure of length ST will be 6.4 So option B is correct.
Learn more about circle;
brainly.com/question/10165274
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Answer:
a. Angle Y is a right angle.
b. The measure of angle Z is 45°.
e. The perpendicular bisector of creates two smaller isosceles triangles.
Step-by-step explanation:
Let x represent the measures of base angles X and Z. Then 2x is the measure of vertex angle Y, and the sum of angles is ...
x + x + 2x = 180°
x = 45°
2x = m∠Y = 90°
so the triangle is an isosceles right triangle which has base angles of 45°.
The perpendicular bisector of XZ is the altitude of the triangle XYZ. It creates two smaller right triangles with acute angles of 45°. Hence, those, too, are isosceles right triangles.
