Given: angle a b c and angle f g h are right angles; line segment b a is parallel to line segment g f; line segment b c is-congruent-to line segment g h
prove: triangle a b c is-congruent-to triangle f g h

triangles a b c and f g h are shown. triangle f g h is slightly lower and to the left of triangle a b c. lines extend from sides b a and g f to form parallel lines. another line connects points f and c. angles a b c and f g h are right angles. sides b c and g h are congruent.

step 1: we know that angle a b c is-congruent-to angle f g h because all right angles are congruent.
step 2: we know that angle b a c is-congruent-to angle g f h because corresponding angles of parallel lines are congruent.
step 3: we know that line segment b c is-congruent-to line segment g h because it is given.
step 4: triangle a b c is-congruent-to triangle f g h because of the

asa congruence theorem.
aas congruence theorem.
third angle theorem.
reflexive property.

im alright what do you need

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5