Answer:
(g - 77)
Step-by-step explanation:
Winston has total number of gumdrops = g
He ate gumdrops = 77
To calculate the number of gum drops left with Winston we will subtract the number of gumdrops ate by Winston from total number.
Therefore, expression that represents the gumdrops left with Winston will be,
(g - 77)
Answer:
prime factorization of 28
28 = 2 × 2 × 7
prime factorization of 50
50 = 2 × 5 × 5
Step-by-step explanation:
GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2
Answer:
A). Yes
B). Yes
C). No
D). Yes
Step-by-step explanation:
Coordinates of the midpoint of a segment joining two points and are given by .
A). If the points are A(1, 2) and B(3, 4)
Coordinates of the midpoint M →
M → (2, 3)
Yes.
B). Extreme points of segment AB are A(0, 8) and B(10, -1)
Coordinates of the midpoint will be,
M →
M → (5, 3.5)
Yes
C). Extreme points of segment AB are A(-7, -5) and B(6, 4)
Coordinates of the midpoint will be,
M →
M → (-0.5, -0.5)
NO
D). Extreme points of segment AB are A(4, -2) and B(6, -8)
Coordinates of the midpoint will be,
M →
M → (5, -5)
Yes
m∠Z = 55°
Solution:
Given m∠A = 75° and m∠B = 50°
Let us first find the m∠C.
Sum of the angles of the triangle is 180°.
In ΔABC,
m∠A + m∠B + m∠C = 180°
⇒ 75° + 50° + m∠C = 180°
⇒ 125° + m∠C = 180°
⇒ m∠C = 180° – 125°
⇒ m∠C = 55°
Given ΔABC ≅ ΔXYZ.
Corresponding parts of congruence triangles are congruent.
⇒ m∠Z = m∠C
⇒ m∠Z = 55°
Hence, m∠Z = 55°.