Answer:
yes, if AB ≅ DE
Step-by-step explanation:
Triangles are said to be congruent if they have the same sides and the same angles.
The following measures are used to determine if triangles are congruent:
1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.
2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.
3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.
4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.
From the triangles DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.
To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent
Answer:
x = 6 ± 5
Step-by-step explanation:
x² - 12x + 11 =0
x² - 12x = -11 Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)
x² - 12x +36 = -11 + 36 1/2(-12)² = 36
(x - 6)(x - 6) = 25
(x - 6)² = 25
² = 
square root of both side of the equation
x - 6 = ± 5 (5)² = 25 and (-5)² = 25
x = 6 ± 5
Given:
The inequality is
To find:
The mistake in the given solution and correct it.
Solution:
We have,
Isolating variable on one side, we get
On dividing both sides by -3, we get
Because if an inequality is multiplied or divided by a negative number, then the sign of inequality must be changed.
Therefore, there is a mistake in last step because the sign of inequality remains same after diving it by -3 and the correct solution is .
Answer:
Complement 60 Supplement 150
Step-by-step explanation:
the complementary angle is an angle that is added to your original angle of 30° to get 90°
Complementary Angle = 90 - 30°
Complementary Angle = 60°
The supplementary angle is an angle that is added to your original angle of 30° to get 180°
Supplementary Angle = 180 - 30°
Supplementary Angle = 150°
Answer: 12 stars
Step-by-step explanation:
First find out the number of stars he gained by scoring goals:
= Number of goals scored * Stars if goal is scored
= 5 * 3
= 15 stars
Then find out the number of stars he is to lose by missing the goal:
= No. of goals missed * stars if goal missed
= 4 * 3/4 stars
= 3 stars
The total number of stars he has are:
= Stars gained - Stars lost
= 15 - 3
= 12 stars
