The ratio of cats to dogs is 5 to 4 if there are a total of 63 cats and dogs how many dogs are there and how many cats ate there?

Number of cats is (5/9)(63) = 35, and number of dogs is (4/9)(63) = 28

Step-by-step explanation:

The given ratio is 5 to 4.  Sum these up, obtaining 9.  Then (5/9) of the whole represents the number of cats, and (4/9) of the whole represents the number of dogs.

Number of cats is (5/9)(63) = 35, and

number of dogs is (4/9)(63) = 28

As a check:  35 + 28 = 63.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.