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kirza4 [7]
3 years ago
9

In order to prove that the two triangles are congruent by ASA, what must you know about the measure of ∠D?

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0

Answer:

Angle D must measure 35°

Step-by-step explanation:

For these triangles to be congruent, ∠A must equal ∠D.

Angles in triangle add to 180:

∠A+∠B+∠C=180

A+58+87=180

A=180-145

∠A=35°=∠D

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Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the
nignag [31]

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

So,

= 6 ft × 6 ft × 8 ft

= 288 ft³

3 0
2 years ago
Enter the value of B when the expression 2x+B is equivalent to 2( x + 3)
PIT_PIT [208]

Answer:

Step-by-step explanation:

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8 0
3 years ago
3. Which relation is a function?
Pani-rosa [81]

Answer:

B

Step-by-step explanation:

Recall that functions are defined only if for each value in the domain produces one and only one value in the range.

If we view the relations in the questions as x-y coordinates, this means that for every x-value, you can only have one y-value

Lets evaluate the options:

A) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

C) we can see that for x = 3, this gives 2 possible values for y i.e (3,-8) and (3,8) (hence this is not a function)

D) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

the only choice where this doesn't occur is choice B

6 0
3 years ago
Un vendedor de celulaes tiene una meta diaria de venta si al momento lleva el Q.2,000.00 de la meta que equivale el 20%
astra-53 [7]

Answer:

Sales goal, S = Q. 10,000

Step-by-step explanation:

  • Let the daily sales goal be S.

<u>Given the following data;</u>

  • Amount sold = Q. 2,000.00
  • Percentage of the sales goal = 20%

To find his daily sales goal;

\frac {20}{100} * S = 2000

0.2 * S = 2000

Dividing both sides by 0.2, we have;

S = \frac {2000}{0.2}

<em>Sales goal, S = Q. 10,000</em>

6 0
3 years ago
What is the equation of the line that passes through the point (−3,4) and has a slope of 1 ?
Juli2301 [7.4K]

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1, thus

y = x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = x + 7 ← equation of line

4 0
3 years ago
Read 2 more answers
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