Answer:
x = 25
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
That is ∠ D and ∠ B are corresponding angles and congruent, thus
4x - 20 = 2x + 30 ( subtract 2x from both sides )
2x - 20 = 30 ( add 20 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
Answer:
How to show that they are equal.
Step-by-step explanation:
3/4 times 25 equals 75/100 and then when you turn it into a decimal it is 0.75. That is why they are equal.
Answer:
This type of study design is
Clinical Trial
Step-by-step explanation:
- It is clinical trial because in this study design a treatment is given to the individuals and then we observe this treatment. In this experiment, we are studying the effects by giving 500 mg of Vitamin and Placebo to the soldiers.
- It is not a cross-sectional study because this type of study is used to analyze characteristic of the population depending upon data but this study is not used for disease.
- It is also not a case-control study as well as prospective cohort study because case-control study is used to observe the new cases of a disease while prospective cohort study is used for determining risks or exposure factors of a disease.
- It is not a community trial as in which a community is under observation like a city or a country and it is also not a historical prospective cohort study because in this study type, we observe the cohorts (similar objects) with the different qualities. They are studied on the basis of these qualities.
So the recipe calls for 96 grams of sugar, and one cup is 128 grams of sugar.
She added a half of a cup, and as they said before one cup was 128 grams of sugar. So half of 128 is 64. So she added 64 grams of sugar. The recipe needs 96 grams so 64 grams is not enough sugar.
So 96 grams minus 64 equals 32 grams. So she still needs 32 grams of sugar.
So since the answers are all in cups, we must convert our answer from grams to cups.
So we have 32 grams of sugar left and to convert it we must put the 32 grams out of one cup. Once again one cup is 128 grams of sugar. So the amount of cups we need is 32/128 (fraction).
Also we need to simplify our fraction to completely answer the question. So we divide the numerator and denominator by 32.
So the final answer is 1/4. So the answer is D or the last answer out of the multiple choice.
Answer:
15 cm on the map is equal to 25 miles.
Step-by-step explanation:
Given that,
On a map, 9 cm represents 15 miles.
The distance between two cities is 15 cm. We need to find the distance in miles.
9 cm = 15 miles
So, 15 cm is equal to,
So, 15 cm on the map is equal to 25 miles.
