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bogdanovich [222]
3 years ago
15

Given: ΔDFE is isosceles with base FE; FB ≅ EC. Prove: ΔDFB ≅ ΔDEC Triangle D F E is shown. 2 lines drawn down from point D to p

oints C and B on the base of the triangle to form 3 triangles. Complete the missing parts of the paragraph proof. We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles , are congruent by the isosceles triangle theorem. Therefore, triangles are congruent by SAS.
Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

1. it is given

2. DE

3. DFE and DEF

4. DFB and DEC

Ugo [173]3 years ago
7 0

answer picture answer picture

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Three children each had the same amount of money withdrew from their savings accounts. One of the children withdrew a quarter of
aivan3 [116]

Answer:

Each Children had \$ 100 in their accounts.

Step-by-step explanation:

Given:

Three children each had the same amount of money withdrew from their savings accounts.

One of the children withdrew a quarter of his money and spent it all on a $25 T-shirt

Solution:

Let the total money in the account be x

One of the children withdrew a quarter of his money= \frac{1}{4} \times x= \$25

x=$25\times4= $100

∴ Each Children had \$ 100 in their accounts.

8 0
3 years ago
I need to put 3y+18=-8x+3 In slope intercept form
Elza [17]
Subtract 18 from each side to move the b to the right side. Now you can divide each side by 3 to get y by it self.
5 0
3 years ago
Work out the surface area of this cylinder.<br><br> 12 cm radius<br> 35 cm height
zaharov [31]

Answer:

The surface area of this cylinder is 3545\frac{1}{7} cm²

Step-by-step explanation:

The formula of the surface area of the cylinder is

  • Surface area = later area + 2 base area, where
  • Lateral area = perimeter of the base × height of the cylinder

Let us use the rules above to solve the question

∵ The base of the cylinder is a circle

∵ The perimeter of the circle = 2 π r

∵ The radius of the cylinder is 12 cm

∴ r = 12

∴ The perimeter of the base = 2 (12) (π)

∴ The perimeter of the base = 24π cm

∵ The height of the cylinder is 35 cm

∴ h = 35 cm

→ By using the rule of the lateral area above

∵ The lateral area = 24π × 35

∵ π = \frac{22}{7}

∴ The lateral area = 24 × \frac{22}{7} × 35

∴ The lateral area = 2640 cm²

∵ The area of the circle = π r²

∴ The area of the base = \frac{22}{7} × (12)² = \frac{22}{7} (144) = 452\frac{4}{7} cm²

→ By using the rule of the surface area above

∴ The surface area = 2640 + 2(452\frac{4}{7}) = 3545\frac{1}{7} cm²

∴ The surface area of this cylinder is 3545\frac{1}{7} cm²

4 0
3 years ago
Keewan bike 6 miles in 30 minutes at this rate how long would it take him to bike 18 miles
chubhunter [2.5K]
90 minutes would be the answer.
4 0
3 years ago
Read 2 more answers
Line MN passes through points M4, 3) and M7, 12). If the equation of the line is written in slope-intercept form, y-mx+ b, what
Butoxors [25]

Answer:

<h2>b = -9</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points M(4, 3) and N(7, 12). Substitute:

m=\dfrac{12-3}{7-4}=\dfrac{9}{3}=3

Therefore we have the equation:

y=3x+b

Put the coordinates of the point M to the equation:

3=3(4)+b

3=12+b            <em>subtract 12 from both sides</em>

-9=b

4 0
4 years ago
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