Nasim is making hot sauce. She puts in chile peppers and tomatoes in a ratio of 1 to 3. If she puts in 9 tomatoes, how many chile peppers should she put in?

3

Step-by-step explanation:

Nasim is making hot sauce. Nasim puts in chile peppers and tomatoes in a ratio of 1 to 3.

Assuming Nasim puts in 9 tomatoes, the number of chile peppers should she put will be:

Ratio of chile peepers to tomato= 1;3

Since she put 9 tomatoes, chile peppers= (1×9)/3 = 9/3 = 3.

For 1 chile peeper, there'll be 3 tomatoes.

For 3 chile pepper, thee will be 9 tomatoes.

She needs to add 3 chile peppers.

Step-by-step explanation:

The ratio of chile peppers to tomatoes is 1:3

this means that for each 3 tomatoes, she puts one chile pepper.

Then if she puts 9 tomatoes, this means that she puts 3 tomatoes 3 times.

And we know that for each 3 tomatoes she needs to add 1 chile pepper, then she needs to add 1 chile pepper 3 times:

3*1 = 3 chile peppers.

She needs to add 3 chile peppers.

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°

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it