Simplify the expression 6x -(5x-4)
1 answer:
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Step-by-step explanation:
angle of triangle with the interior of 90 degree is also ka right angle triangle
point to create right angle ab Tech point to create
Construction of a right-angled triangle is possible when the Hypotenuse and one side from the remaining two sides are known to us. A right-angled triangle is a triangle which has one of its three angles equal to 90 degrees. The other two angles are acute angles. The side opposite of the right-angle is the longest side and is called the hypotenuse. The side which makes the right angle with the base is called perpendicular.
The requirements for the construction are a ruler and a compass.
Step 1: Draw a horizontal line of any length and mark a point C on it.
right angled triangle construction
Step 2: Set the compass width to 3 cm.
Step 3: Place the pointer head of the compass on point C and mark an arc on both the sides of C.
right angled triangle construction 2
Step 4: Mark the points as P and A where the arcs cross the line.
Step 5: Set the compass width to the length of the hypotenuse, that is, 5 cm.
Step 6: Place the pointer head of the compass on point P and mark an arc above C.
right angled triangle construction 3
Step 7: Repeat step 6 from point A.
right angled triangle construction 4
Step 8: Mark the point as B where the two arcs cross each other.
Step 9: Join the points B and A as well as B and C with the ruler.
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Answer:
CB = 5,
Step-by-step explanation:
Assuming that the marks next to angle D mean that , then there is enough information to conclude that the two right triangles are congruent (HA theorem--hypotenuse/angle).
Then all the corresponding parts of the two triangles are congruent, including segments BA and BC, making them the same length.
4x + 1 = 9x - 4
Solving for x,
1 = 5x - 4
5 = 5x
1 = x
Pluggint x = 1 into the two expressions reveals that the length of segment CB is 5.
The two small angles at D are congruent, so .