Answer:
960
Step-by-step explanation:
<u>Given:</u>
- Stan's cookie recipe makes 24 cookies.
- It needs exactly 384 sprinkles.
<u>To Find:</u>
- Number of sprinkles needed for 60 cookies
<h2><u>Solution:</u></h2>
<u>Find the number of sprinkles needed for 1 cookie:</u>
- 24 cookies = 384 sprinkles
- 1 cookie = 384 ÷ 24
- 1 cookie = 16 sprinkles
<u>Find the number of sprinkles needed for 60 cookies:</u>
- 1 cookie = 16 sprinkles
- 60 cookies = 16 x 60
- 60 cookies = 960 sprinkles
Answer: Stan will need 960 sprinkles for 60 cookies.
Answer:
5x-3
Step-by-step explanation:
(3x + 5) + (2x - 8)
3x+5+2x-8
Bringing the like terms together,
3x+2x+5-8
5x-3
Answer:
Yes. It is a rational number.
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:
Step-by-step explanation:
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