11) Since the triangle has a pair of congruent base angles, it is an isosceles triangle which means that the two pairs of legs are congruent.
Make them equal to each other in an equation.
5x = x + 20
Subtract x from both sides.
4x = 20
Divide both sides by 4.
x = 5
12) The two legs are congruent so that means the base angles must be congruent. First find the measure of the base angles. Create an equation:
x + x + 50 = 180
Combine like terms.
2x + 50 = 180
Subtract 50 from both sides.
2x = 130
Divide both sides by 2.
x = 65
Now make the base angle plus x equal 180, because they form a straight line.
65 + x = 180
Subtract 65 from both sides.
x = 115
13) You know the vertex angle (top angle) is 90 degrees because it is supplementary to a right angle. The triangle is isosceles because the two legs are congruent, so make the base angles plus 90 add up to 180 in an equation.
x + x + 90 = 180
Combine like terms.
2x + 90 = 180
Subtract 90 from both sides.
2x = 90
Divide both sides by 2.
x = 45
<h2><u>solución</u></h2>
deja que los números sean x, and x + 2
sabemos que su suma es igual a 100, entonces
por lo tanto, el primer número es 49
y el segundo número es x + 2 = 49 + 2 = 51 (también es el mayor entre los dos números)
entonces suma de dígitos de mayor número = 5 + 1 = 6
Respuesta correcta de la pregunta anterior = 6
Answer:
69
Step-by-step explanation:
74/2
Answer:
P=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2=5p+3p−8−6p
−2=5p+3p+−8+−6p
−2=(5p+3p+−6p)+(−8)(Combine Like Terms)
−2=2p+−8
−2=2p−8
Step 2: Flip the equation.
2p−8=−2
Step 3: Add 8 to both sides.
2p−8+8=−2+8
2p=6
Step 4: Divide both sides by 2.
2p2=62
p=3
Answer: (4, 3)
Step-by-step explanation:
The formula for coordinate of the mid point is given as :
Mid point = (
, 
)
= 9
= -1
= 9
= -3
Substituting the values into the formula , we have :
Mid-point = (
, 
)
Mid-point = ( 
, 
)
Mid - point = ( 4 , 3)
