What is 6,224 in scientific notation
1 answer:
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Answer:
The total cost for each health club will be the same after 4 months.
Step-by-step explanation:
- Let A = membership fee for studio A
- B = membership fee for studio B
- x= membership month
We want to when the total cost at each health studio is the same.
In other words, when A = B.
Therefore, the expression becomes
Step 1: Simplify both sides of the equation.
Step 2: Subtract 18.25x from both sides.
Step 3: Subtract 22 from both sides.
Step 4: Divide both sides by 6.25
Therefore, the total cost for each health club will be the same after 4 months.
Answer:
Option 4: <u>(2x + 16)° + (x)° = 180°</u>
Step-by-step explanation:
See the attached figure.
For a quadrilateral inscribed in a circle
The opposite angles are supplementary.
So, ∠D + ∠B = 180°
From the figure:
∠B = x° and ∠D = (2x+16)°
∴ <u>(2x + 16)° + (x)° = 180°</u>
The triangle is drawn and is shown in the image attached with.
We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.
D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:
AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units
So,
Therefore, the length of DE will be 3 units
We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.
D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:
AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units
So,
Therefore, the length of DE will be 3 units