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Svetllana [295]
2 years ago
14

**PLEASE HELP ASAP**

Mathematics
1 answer:
adell [148]2 years ago
7 0
In June he read 0 to 45 pages per day
In April he reads 10 to 90 pages per day
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At Andrew Jackson High School, students are only allowed to enroll in AP U.S. History if they have already taken AP World Histor
o-na [289]

Answer:

  • <u><em>About 0.22</em></u>

Explanation:

There are two sets:

  • Set W of incoming seniors who took AP World History, and
  • Set E of incoming seniors who took AP European History

And there is a subset, which is the intersection of those two sets:

  • Subset W ∩ E of senior students who took both.

The incoming seniors who are allowed to enroll in AP U.S. History, call them the subset S, is the set of those students that belong to W or E or both W ∩E.

By property of sets:

  • S = W + E - W∩E = 175 + 36 - 33 = 178

Then, 178 out of 825 incoming seniors took one or both courses, and the desired probability of a randomly selected incoming senior is allowed to enroll in AP U.S. History is:

  • 178/825 = 0.21576 ≈ 0.22
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4 years ago
432311<br> Extended form
Ghella [55]

Answer:

400,000 + 30,000 + 2,000 + 300 + 10 + 1

Step-by-step explanation:

3 0
3 years ago
Do you guys know this? 82 − − 33 = 35
jenyasd209 [6]

um...

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?
skelet666 [1.2K]

Angles formed by the segment \overline{XZ} in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.

  • The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>

Reasons:

The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;

Segment \overline{XZ} is perpendicular to segment \overline{WY}

∠WZX and ∠XZY are right angles by definition of \overline{XZ}  perpendicular to \overline{WY}

∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)

\displaystyle \frac{WZ}{XZ} = \frac{16}{12} = \mathbf{ \frac{4}{3}}

\displaystyle \mathbf{ \frac{XZ}{ZY}}  = \frac{12}{9}  = \frac{4}{3}

Therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9}, which gives, \displaystyle \mathbf{\frac{WZ}{XZ} }= \frac{XZ}{ZY}

Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and

that the included angles between the two sides, ∠WZX and ∠XZY are

congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-

Side, SAS, similarity postulate.

The option that best completes the proof is therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9} which is; <u>16 over 12 equals 12 over 9</u>

Learn more about the SAS similarity postulate here:

brainly.com/question/11923416

4 0
3 years ago
a gardener grows roses, tulips, and sunflowers in an 18-acre public garden. this year, she wants to plant twice as many acres of
kvv77 [185]
There would be 3 acres of tulips and 6 acres of sunflowers and finally 9 acres of roses. Hope this helped!!
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