Answer:
Given that an image attached with this prove.
1. AD = AB, CD=CB 1. Given
2. OD = OB 2. By definition, the diagonal connecting vertec angles bisects the other diagonal
3. OA = OA 3. By reflexive property
4. triangle AOB = triangle AOD 4. By SSS congruence
5. angle AOB = angle AOD 5. By CPCTC
6. angle AOB = angle AOD = 90 6. both angles addup to 180
7. AC ⊥ DB 7. definition of right angles
Step-by-step explanation:
Answer:
−9⋅(5j+k) = -45j -9k.
Step-by-step explanation:
Given : −9⋅(5j+k)
To find : distributive property.
Solution : −9⋅(5j+k)
By distributive property a( b +c ) = a*b + a*c.
Then −9⋅(5j+k) = -9 *5j + (-9 *k)
−9⋅(5j+k) = -45j -9k.
Therefore, −9⋅(5j+k) = -45j -9k.
Answer:
Perimeter of the new box is 30.4 cm
Area of the new box is 57.76 cm²
Step-by-step explanation:
Jordan made a wooden square box, all sides of the wooden box are 6cm. If he wants to increase the length of all sides by 1.6, what will be perimeter and area of the new box?
From the question; all the side of the wooden box is 6 cm, if she increases all side by 1.6, then the sides become; 6 cm + 1.6 cm = 7.6 cm
Since all the sides are 7.6 cm, then perimeter = L + L + L + L
=7.6cm +7.6cm +7.6cm+7.6cm
=30.4cm
or
perimeter of a square = 4L
= 4 × 7.6cm
= 30.4 cm
Therefore the perimeter of the new box is 30.4 cm
To find the area;
l = 7.6 cm
Area of a square = l × l
= 7.6 cm × 7.6 cm
=57.76 cm²
Therefore area of the new box is 57.76 cm²
Answer:
C
Step-by-step explanation:
Solve the equation by applying the distributive property and combine like terms. Then use inverse operations to isolate the variable.
2(4x – 3) = 2(x + 2) + 8 Distributive Property
8x - 6 = 2x + 4 + 8 Add 4 + 8
8x - 6 = 2x + 12 Add 6 to both sides
8x = 2x + 12 + 6 Add 12 + 6
8x = 2x + 18 Subtract 2x from both sides
8x - 2x = 18 Subtract 8x - 2x
6x = 18 Divide by 6
x = 3