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3241004551 [841]
3 years ago
8

What postulate can be used to prove the triangles are congruent?

Mathematics
1 answer:
Komok [63]3 years ago
3 0
The HL Postulate

You know that the two hypotenuses are congruent and that the two triangles each contain a shared segment in the middle (so by the reflexive property they are congruent). You have two congruent hypotenuses and two congruent legs, so you can conclude congruency by HL.

If you found this helpful, please make this the brainliest answer! :)


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Find the area of the following figure below
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140
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Juanita is making necklaces to give as presents. She plans to put 15 beads on each necklace. Beadsare sold in packages of 20. Wh
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Solve the equation for all values of x in simplest form:<br> (x - 2)2 = 49
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3 years ago
What is the first term of the geometric sequence whose fifth term is 1/24 and tenth term is 1/768
Neporo4naja [7]
An=a1r^(n-1)

given
a5=1/24
a10=1/768

we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)

so
1/24=a1r^4
1/768=a1r^9

(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
take 5th root of both sides
r=1/2

we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
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7 0
3 years ago
Using Unit Rates to compare Ratios continued
nasty-shy [4]

Answer:

Brandon

Step-by-step explanation:

GIVEN: Branden and Pete each play running back. Branden carries the ball 75 times for  550 yards, and Pete has 42 carries for 380 yards.

TO FIND: Who runs farther per carry.

SOLUTION:

Total yards traveled by Brandon =550\text{yards}

No. of times ball carried by Brandon =75\text{ times}

Average yards per carry for Brandon =\frac{\text{total yards traveled}}{\text{number of times ball carried}}

                                                              =\frac{550}{75}

                                                              =\frac{22}{3}\text{ yards per carry}

                                                              =7.33\text{ yards per carry}

Total yards traveled by Pete =380\text{ yards}

No. of times ball carried by Pete =42\text{ times}

Average yards per carry for Pete =\frac{\text{total yards traveled}}{\text{number of times ball carried}}

                                                       =\frac{380}{42}

                                                       ≅ 9\text{ yards per carry}

As the number of yards per carry is higher for Brandon , therefore he runs farther per carry.

4 0
3 years ago
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