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3 years ago

If measure of the angle fhg is 61 degrees, what is measure of angle fpg (on a circle)

Mathematics

1 answer:

enyata [817]3 years ago

6 0

It looks like angle FPG = twice angle FHG - which makes sense looking at it now, but I came up with the answer another way - see attached

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Simplify by distributing 7(36 – 2c + 4)

Nostrana [21]

Step-by-step explanation:

7(36-2c+4)

=252 - 14c + 28

=310 - 14c

7 0

3 years ago

A Russian blue kitten costs $150 more than Manx kitten 9 blue kittens and 8 Manx kittens costs. Total of 14,100 write down a alg

Dmitriy789 [7]

Answer:

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

Step-by-step explanation:

Given that:

Russian blue kitten costs $150 more than Manx kitten.

Cost of 9 blue kittens and 8 Manx kittens = $14100

Let,

x be the price of one Russian blue kitten.

y be the price of one Manx kitten.

According to given statement;

9x+8y=14100

x = y+150

Hence,

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

5 0

3 years ago

A carpenter cut out a small trapezoid as a wooden support for the front step. it has an altitude of 4 inches. One base of the tr

docker41 [41]

Area of wooden support is 36 square inches

Solution:

Given that, carpenter cut out a small trapezoid as a wooden support for the front step

The area of trapezoid is given as:

$area = \frac{a+b}{2} \times h$

Where, "h" is the height

"a" and 'b" are the length of base

Here given that,

Height = h = 4 inches

a = 6 inches

b = 12 inches

Substituting the values we get,

$area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36$

Thus area of wooden support is 36 square inches

6 0

3 years ago

From home, Mary’s work is two thirds along the way to training. Training is 2.5km from work. Mary normally goes to work, then tr

polet [3.4K]

First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,

x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km

Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,

Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km

3 0

3 years ago

A book club has 200 members

nikklg [1K]

So these are decmials of the accutal total so

.32=32%
what makes this question easy is that there are 200 members so to convert the percents into accutall numbers so like .32=32%=64 people (since 200 is 2 times of 100)

A. fiction of 31-40 compared to 21-30
fiction 31-40=.38=38%=76 readers
fiction 21-30=.32=32%=64 readers
76-64=12
A is FALSE

B. so we want to know how many people are 31-40 and prefer fiction
so .38=38% and 38% of 200=76
B is FALSE

C 43 members are 21-30
so we look at the total row for the 21-30 people and see that .43 or 43% or 86 people are in the 21-30 age group
C is FALSE

D. 140 members prefer fiction
look at the total column for fiction and see that .70 like fiction .70=70%=140 people
D is TRUE

so A,B,C are FALSE
D is TRUE

7 0

3 years ago