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murzikaleks [220]
3 years ago
7

How do you find the surface area and volume of this geometric shape?

Mathematics
1 answer:
sp2606 [1]3 years ago
6 0
You find the surface area by finding the area of both trapezoids, then adding the area of the rectangles.
You find the volume by adding the base area, length of the base, dividing it by 2, multiplying it by the base height, and multiplying it by the base length. The formula is (a + b)/2 x h x l
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What are the missing statement and reason in step 2 of the proof? Statement: ∠ABC ≅ ∠BCD, ∠BAD ≅ ∠ADC Reason: For parallel lines
ICE Princess25 [194]

Answer:

Statement: AB=CD, BC=AD

Reason: By definition of parallelogram .

Statement: AC=AC

Reason: Reflexive property of equality.

Step-by-step explanation:

1.Statement: \angle ABC\cong \angle BCD,\angle BAD\cong \angle ADC.

Reason: For parallel lines cut by a transversal , corresponding angles are congruent.

2.Statement:AB=CD,BC=AD

Reason: By definition of parallelogram.

3.Statement: AC=AC

Reason: Reflexive property of equality.

4.Statement: \triangle ABC\cong \triangle CDA.

Reason: SSS criterion for congruence.

5.Statement:AB\cong CD, BC\cong AD.

Reason: Given .

6.Statement: AB\parallel CD, BC\parallel AD.

Reason: By definition of parallelogram.

7.Statement: \angle BAC\cong \angle ACD.

Reason: Alternate Interior Angles Theorem.

7 0
3 years ago
Find 85 - 72 x 4 ÷ 2 (13 - 11)
Lerok [7]

Answer:

13

Step-by-step explanation:

using BODMAS

13-11=2

SO 2*2=4

4/4=1

1*72=72

THEREFORE it is 85-72 =13

7 0
2 years ago
You drive 15 miles in one fourth of an hour. What is your average speed?
Mazyrski [523]
Hello ! I'm happy to help
the answer all revolves around this simple formula:
speed= distance/time
since you were driving for 1/4 of an hour that's 15 minutes
and we already know that you traveled 15 miles
so the speed would equal 15 miles every 15 minutes
if you want to find the total distance travelled is 15x15 =225
6 0
3 years ago
Question: Find the vertex.<br><br> Equation: y = -x^2-6x+15<br><br> ([Put Number],[Put Number])
Artyom0805 [142]

Answer:

y = (x - 3)² + 6

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = x² - 6x + 15

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 15

y = (x - 3)² - 9 + 15

y = (x - 3)² + 6 ← in vertex form

6 0
2 years ago
I need help with these two, can someone pls help me<br><br>I need this ASAP<br>no links pls ​
Anestetic [448]
5x+4+8x-3=79
13x=79-1
x=6
DBC=34
ABC=45

6x+20+2x+4 = 180
8x = 156
x=19.5
TQS=137
RQS=43
3 0
2 years ago
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