Answer:
45
Step-by-step explanation:
Answer:
x/3-6
Step-by-step explanation:
The number represents x and since it's a quotient you divide by 3 and since it says 6 less that you subtract by 6
Answer:
It's symmetrical to the origin
Step-by-step explanation:
Use desmos for further graphing
Answer:
Incomplete question, check attachment for diagram of the question
Step-by-step explanation:
Given that,
AD = 20cm
DC = 15cm
BC = 7cm
AB = 24cm
Since the shape consist of two right angle triangle,
Then, we will find the area of each triangle and add them together to find the area of the quadrilateral ABCD
Area of a triangle can be calculated using
A = ½b×h
Then,
For triangle 1, its area is
A_1 = ½ × DC × AD
A_1 = ½ × 15 × 20
A_1 = 150 cm²
Fro triangle 2
A_2 = ½ × BC × AB
A_2 = ½ × 7 × 24
A_2 = 84 cm²
Then, the total area is
A = A_1 + A_2
A = 150 + 84
A = 234 cm²
Area of the quadrilateral ABCD is 234cm²
Tile 1:In any triangle (regardless its type), the sum of measures of the internal angles is 180°.
This means that:
∠ABC + ∠BAC + ∠ACB = 180°
Tile 2:The sum of measures of internal angles of a triangle is 180°.
We are given that:
ΔABC is isosceles where AB = AC
This means that:
∠ABC = ∠ACB
We are also given that measure angle BAC is 70 degrees
180 = ∠ABC + ∠ACB + 70
∠ABC + ∠ACB = 110°
We know that both angles are equal, therefore:
∠ABC = ∠ACB = 110/2 = 55°
Tile 3:We are given that ΔQPR is an isosceles triangle where PQ = QR
This means that:
∠QPR = ∠QRP
We are given that ∠QRP = 30°
This means that:
∠QPR = 30°
Tile 4:A diagram representing the given scenario is attached.
Now we have:
point D is midpoint to AB and point E is midpoint to BC
There is a theorem stating that: "In a triangle, a line joining the midpoints of two sides is parallel to the third side and equals half its length"
Applying this to the givens, we would conclude that:
ED is parallel to AC
Now, since these two lines are parallel, then angles BAC and BDE are corresponding angles which means that they are equal.
This means that:
∠BAC = ∠BDE = 45°
Hope this helps :)