Answer:
The equation representing the left table is
y = 1.5x - 6
The equation representing the right table is
y = -4x + 6.1
The solution to the system of equations is
(2.2, -2.7)
Given:
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.
To find:
The measures of the 2 acute angles of the triangle.
Solution:
Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,




Divide both sides by 3.


The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:



Therefore, the measures of two acute angles are 26° and 64° respectively.
Answer:
The distributive property of multiplication
Step-by-step explanation:
we know that
The <u>distributive property of multiplication</u> states that the product of a number by a sum, is equal to multiply each addend by the number (This is called distributing the number) and then, you can add the products
so

in this problem we have
----> the number -3 is distributed
therefore
We have the distributive property of multiplication
Answer:
y=-2x+1
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of one another. slope 1/2 perpendicular will be -2/1=-2
y-5=-2(x-(-2))
y-5=-2(x+2)
y-5=-2x-4
y=-2x-4+5
y=-2x+1
Answer:
7 1/17
Step-by-step explanation:
A figure can be helpful.
The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.
The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...
BC² = BD² +CD²
BC² = 8² +15² = 289
BC = √289 = 17
The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...
(long side)/(hypotenuse) = DE/BD = CD/BC
DE = BD·CD/BC = 8·15/17
DE = 7 1/17 ≈ 7.059