Answer:
6.75
Step-by-step explanation:
h=hat, s=scarf
5h + 1s = $47 (equation 1)
2h + 2s = $40 (equation 2)
multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)
equation 3 minus equation 2, we get:
8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75
substitute h = $6.75 into equation 2 to find s,
2($6.75) + 2s = $40
$13.5 + 2s = $40
2s = $26.5
s = $13.25 ⇔ 1 scarf cost $13.25
Answer:
28
Step-by-step explanation:
It is c
Rhomuses are slanted squares
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