Answer:
Option B.
Polygon JKLP maps to polygon MNOP through a rotation.
Step-by-step explanation:
The picture of the question in the attached figure
we know that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
JK≅MN
KL≅NO
LP≅OP
JP≅MP
and
∠OPM≅∠LPJ
∠NOP≅∠KLP
∠ONM≅∠LKJ
∠NMP≅∠KJP
so
Polygon JKLP maps to polygon MNOP through a rotation clockwise around point P an angle equal to ∠JPM
Answer:
ON MONDAY: 35 mosquitos.
ON TUESDAY: 6 flies.
Step-by-step explanation:
As you can see in the diagram, the frog eats 3 flies for every 7 mosquitoes (for lunch). Then you can expresed this ratio as following:
3:7 or
Based on the table:
-If the frog eats 15 flies on monday, then the number of mosquitos that it eats can be calculated as following:
-If the frog eats 14 mosquitoes on tuesday, then the number of flies that it eats can be calculated as following:
Answer:
The initial height of the balloon is 2 feet.
Step-by-step explanation:
The height of the balloon in feet after t seconds is given by the following equation:
What is the initial height of the balloon?
This is h when t = 0, that is, h(0). So
The initial height of the balloon is 2 feet.
Answer:
Wendy jogs 13.75 mile in all each week
Step-by-step explanation:
To determine how many miles Wendy jogs in all each week,
we will sum the distance she jogs in the city with her running club in a week to the distance she jogs along the nature trail near her home in a week.
The distance she jugs with her running club = 5.5 mile.
Now, we will determine the distance of the nature trail near her home.
From the question, the nature trail is 1.5 times as long as the route in the city.
Let the distance of the nature trail =
and the distance of the route in the city be
Hence, we can write that
distance of the route in the city, = 5.5 mile
∴
8.25 miles
Hence, the nature trail is 8.25 mile
Then, the number of miles Wendy jogs in all each week is
5.5 mile + 8.25 mile = 13.75 mile
Hence, Wendy jogs 13.75 mile in all each week
Keywords:
<em>Divide, polynomial, quotient, divisor, dividend, rest </em>
For this case, we must find the quotient by dividing the polynomial . We must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the rest, as shown in the attached figure. At the end of the division, to verify we must bear in mind that:
Answer:
See attached image
