Answer:
80
Step-by-step explanation:
in the figure above, angle 100 degrees is corresponding to the angle co - interior to angle x
that is
if we put an angle that is at the upper left of x, we can call that y which is corresponding to 100 degrees
since y is corresponding to 100 degrees, it automatically becomes the same as 100 degrees
therefore y=100
now, from the first line above, we know that x and y are co-interior which means that they both add up to 180 degrees
that is
x+y=180
we know that y = 100
therefore,
x+100=180
collect like terms and
x = 180-100
therefore,
x= 80
thank you!!
3. ΔPQR ≅ ΔSRT
3. ASA (Angle - Side - Angle) - we have two triangles where we know two angles and the included side are equal
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
4. PR ≅ SR
4. ΔPQR ≅ ΔSRT - the corresponding sides are congruent.
Answer:
? = 7/2
Step-by-step explanation:
? = x
a denominator can’t be equal to 0
x ≠ 0
14/x = 4
14 = 4x
x = 7/2
Answer:
The distance on a number line between -9 and -5 would be 4. This is kinda easy.
Step-by-step explanation:
The standard form of a quadratic equation is ,
ax² + bx + c = 0.
And the formula to find the discriminant is b² - 4ac.
Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,
2x² – 9x + 2+1 = –1 + 1
2x² – 9x + 3 = 0
Next step is to compare the given equation with this equation to get the value of a, b and c.
After comparing the equations we will get a = 2, b = -9 and c = 3.
So, discriminant = b²- 4ac
=( -9)²-4 (2)(3)
= 81 - 24
= 57
So, discriminant of the given equation is 57.
57 is greater than 0 and square root of 57 will result real number.
So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.
