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2 years ago

Can someone help me with this question? I need the statement reasoning! Thank you so much I will mark brainliest!

Mathematics

2 answers:

Sergeu [11.5K]2 years ago

7 0

Triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS

kupik [55]2 years ago

4 0

Answer:

As per HL Postulate the triangles are congruent

Step-by-step explanation:

Given: m∠A = m∠C = 90° and AD = CB

Prove: ΔABD ≅ ΔCDB

--------------------------

Since angles A and C are right angles, ΔABD and ΔCDB are right triangles

DB is common side, so

DB ≅ BD
AD ≅ CB is given
∠DAB ≅ ∠ BCD given

As per HL Postulate if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent

You might be interested in

Solve for x:<br> -14x > -3

Alexus [3.1K]

Answer:

x>11

Step-by-step explanation:

-14x>-3

+14 +14

x > 11

6 0

3 years ago

Recall that the product (a + b)(a - b) is the

Aleks [24]

Answer:

The third option (9+ $3\sqrt{7}$ - $3\sqrt{7}$ - $\sqrt{49}$ )

Step-by-step explanation:

With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².

In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3× $\sqrt{7}$ )-(3× $\sqrt{7}$ )-( $\sqrt{7}$ )².

Solving these gives 9+ $3\sqrt{7}$ - $3\sqrt{7}$ -7. This is the same as 9+ $3\sqrt{7}$ - $3\sqrt{7}$ - $\sqrt{49}$ .

**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!

8 0

2 years ago

Read 2 more answers

Find the x and y intercepts of the following function.<br> g(x)=x^2-5x-84

Ahat [919]

Answer:

see explanation

Step-by-step explanation:

To find the y- intercept let x = 0 in the function

g(0) = 0 - 0 - 84 = - 84 ← y- intercept

To find the x- intercepts let y = 0, that is

x² - 5x - 84 = 0

To factor the quadratic

Consider the factors of the constant term (- 84) which sum to give the coefficient of the x- term

The factors are - 12 and + 7, since

- 12 × 7 = - 84 and - 12 + 7 = - 5, thus

(x - 12)(x + 7) = 0

Equate each factor to zero and solve for x

x - 12 = 0 ⇒ x = 12

x + 7 = 0 ⇒ x = - 7

x- intercepts are x = - 7 and x = 12

8 0

3 years ago

3.4(x+1.58)=-11.288 value of x.

Alexeev081 [22]

3.4(x+1.58)= - 11.288

Step 1: Distribute 3.4 to the numbers inside the parentheses (x+1.58)

3.4x + (3.4×1.58)= - 11.288

3.4x + 5.372 = -11.288

Step 2: Bring 5.372 to the right side by subtracting it to both sides

3.4x + (5.372 - 5.372 ) = (-11.288 - 5.372)

3.4x + (0) = (-16.66)

3.4x = -16.66

Step 3: Isolate x by dividing 3.4 to both sides

$\frac{3.4x}{3.4} = \frac{-16.66}{3.4}$

x = -4.9

Hope this helped!

6 0

3 years ago

Friday's meeting needs 12 more sandwiches than Tuesday which needs 6 fewer than Monday which needs 20 more than wednesday which

Alina [70]

He will need 315 sandwiches to make each day next week

Step-by-step explanation:

The given:

Friday's meeting needs 12 more sandwiches than Tuesday
Tuesday needs 6 fewer than Monday
Monday needs 20 more than Wednesday
Wednesday needs 5 fewer than Thursday
The number of sandwiches ordered for the meeting that calls for the fewest is 50

We need to find how many sandwiches he will need to make each day next week

Assume that Tuesday needs x sandwiches

∵ Friday's meeting needs 12 more sandwiches than Tuesday

∵ Tuesday needs x sandwiches

- Add x by 12 to find Friday's need

∴ Friday needs = x + 12

∵ Tuesday needs 6 fewer than Monday

- That means Monday needs 6 more than Tuesday, add 6 to x

to find Monday needs

∴ Monday needs = x + 6

∵ Monday needs 20 more than Wednesday

- That means Wednesday needs 20 less than Monday, subtract

20 from Monday needs to find Wednesday needs

∴ Wednesday needs = x + 6 - 20 = x - 14

∵ Wednesday needs 5 fewer than Thursday

- That means Thursday needs 5 more than Wednesday, add 5 to

Wednesday needs to find Thursday needs

∴ Thursday needs = x - 14 + 5 = x - 9

∵ The number of sandwiches ordered for the meeting that calls

for the fewest is 50

- From the days needs above the fewest one is Wednesday, then

equate Wednesday needs by 50

∵ Wednesday needs is x - 14

∴ x - 14 = 50

- Add 14 to both sides

∴ x = 64

Substitute x in each day needs to find the number of sandwiches

∵ Tuesday needs is x

∴ Tuesday needs = 64

∵ Friday needs is x + 12

∴ Friday needs = 64 + 12 = 76

∵ Monday needs is x + 6

∴ Monday needs = 64 + 6 = 70

∵ Wednesday needs = 50

∵ Thursday needs is x - 9

∴ Thursday needs = 64 - 9 = 55

Add the numbers of sandwiches of all day to find the number of sandwiches he will need to make each day next week

∵ The number of sandwiches = 76 + 64 + 70 + 50 + 55

∴ The number of sandwiches = 315

He will need 315 sandwiches to make each day next week

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

#LearnwithBrainly

4 0

2 years ago