AC is perpendicular to BD.
<h3>
Further explanation</h3>
- We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that
is reflexive. - The length of the base of the triangle is the same, i.e.,
. - In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely
. Thus we get ∠ACB = ∠ACD = 90°.
Conclusions for the SAS Congruent Postulate from this problem:

- ∠ACB = ∠ACD

- - - - - - - - - -
The following is not other or additional information along with the reasons.
- ∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and

- ∠BAC = ∠DAC no, because that is ASA with
and ∠ACB = ∠ACD.
no, because already marked.
- - - - - - - - - -
Notes
- The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
- The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.
- The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
- The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.
<h3>Learn more</h3>
- Which shows two triangles that are congruent by ASA? brainly.com/question/8876876
- Which shows two triangles that are congruent by AAS brainly.com/question/3767125
- About vertical and supplementary angles brainly.com/question/13096411
Answer:
125 sit ups
Step-by-step explanation:
well if you divide 60 by 12 you get five and if you multiply 25 and 5 you get 125
The complete question in the attached figure
we know that
tan ∠AOB=opposite side angle ∠AOB/adjacent side angle ∠AOB
opposite side angle ∠AOB=1
adjacent side angle ∠AOB=√3
angle ∠AOB=pi/a radians
so
tan (pi/a)=1/√3---------> tan (pi/a)=√3/3
we know that
tan 30°=√3/3
30° is equal to pi/6 radians
and
angle (pi/a) belong to the I quadrant
so
(pi/a)=pi/6
a=6
the answer isa=6
Answer:
144 ft^2
Step-by-step explanation:
Back (vertical): (4 ft)(8 ft) = 32 ft^2
Right side (vert.): (4 ft)(6 ft) = 24 ft^2
Front (vert.): (4 ft)(10 ft) = 40 ft^2
Top (horizontal): A = (1/2)(6 ft)(8 ft) = 48 ft^2 total (top and bottom)
Total surface area is (32 + 24 + 40 + 48) ft^2, or 144 ft^2
Answer:
6,156 is the answer to the equation