Answer: The missing statements are,
In first blank: ∠2≅∠1
In second blank: AC≅AC
In third blank: Reflexive
Step-by-step explanation:
Since, The hypotenuse angle theorem states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent to each other.
Here, given:
∠D and ∠B are right angles.
DC ║ AB
Prove: Δ ADC ≅ Δ CBA
Statement Reason
1.∠D and ∠B are right angles 1. Given
2. ∠2 ≅ ∠1 2. If lines are parallel then interior angles
are equal
3. AC≅AC 3. Reflexive
4.Δ ADC ≅ Δ CBA 4. Hypotenuse angle theorem
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
7x+4y=3
4y = - 7x + 3
y = -7x/4 + 3/4
Comparing with the slope intercept form, slope = -7/4
If the line passing through the given point is perpendicular to the given line, it means that its slope is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (6,-9) is 4/7
To determine the intercept, we would substitute m = 4/7, x = 6 and y = -9 into y = mx + c. It becomes
- 9 = 4/7×6 + c = 24/7 + c
c = - 9 - 24/7 = -87/7
The equation becomes
y = 4x/7 - 87/7
Answer:
<h2>12</h2>
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
Answer:
Step-by-step explanation:
The Hypotenuse of triangle, H = 25 cm
Base = 15 cm
Height = 20 cm
We need to find the area of the triangle. The area of a right-angled triangle is given by :
So, the area of the triangle is equal to 
.
