Answer:
a. x = 36°, y = 36°, z = 34°
Step-by-step explanation:
X = 36° because x and 144° are supplementary angles and the sum of supplementary angles = 180°
The sum of interior angles in a triangle is equal to 180° since one of the angle is given as 110° the sum of z and y must be equal to 70° the option that fits these qualities is a. x = 36°, y = 36°, z = 34°
Answer:
x=10
Step-by-step explanation:
We can use the Pythagorean theorem to find x
The height meets the base at a right angle
The base is bisected ( cut in half) so the base is 6 the height is 8
a^2 + b^2 = c^2
6^2 + 8^2 = x^2
36+64 = x^2
100 = x^2
Taking the square root of each side
sqrt(100) = sqrt(x^2)
10 = x
Answer:30
Step-by-step explanation: act like both of the triangles are there, that is a rectangle 6 times 10 equals 60. 60 divided by 2 is 30
<em>f(3) = 13</em>
- Step-by-step explanation:
<em>f(x) = 2x + 7</em>
<em>replace </em><em>x</em><em> with </em><em>3</em>
<em>f(3) = 2×3 + 7</em>
<em>= 6 + 7</em>
<em>= 13</em>
Answer:
Step-by-step explanation:
Let's examine the following general product of two binomials with variables x and y in different terms:
so we want the following to happen:
Notice as well that 
means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product 
, then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that 
are positive.
We can then try combinations for such as:
Just by selecting the first one 
we get that 
and since
This quadratic equation give as one of its solutions the integer: d = -2, and consequently,
Now we have a good combination of parameters to render the factoring form of the original trinomial:
which makes our factorization:
