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julia-pushkina [17]
2 years ago
7

Can someone please help me?

Mathematics
2 answers:
Flauer [41]2 years ago
7 0

Answer:

Angle D = 44° (degrees)

Step-by-step explanation:

given that ∆ABC is congruent to ∆DBC, AB = 10, and Angle A = 44°. Angle D must be 44° as well since you can tell that angle abc is 88° and is not a right angle, and due to the corresponding parts. You can also think about these triangle as angles since angle abc = angle dbc. The other angles can be calculated using the triangle sum theorem since both triangles share side bc so angle acb and dcb are right angles(90°)

therefore 180-(44+90) = 46° which the measure of angles abc and dcb.

This measure would only make it true because of triangle congruency.

Radda [10]2 years ago
4 0

Answer:

44 degrees

Step-by-step explanation:

Triangles ABC and DBC are congruent (as said in the question), that would make the corresponding parts of the two triangles congruent.

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Answer:

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Part D: The graph is a u-shaped quadratic equation graph  passing though the x-intercept points -1.25 and 3 on the x-axis and the y-intercept point -15 on the y-axis. Both sides of the symmetrical graph curve extending to infinity

Step-by-step explanation:

The function 4·x² - 7·x-15

To factorize the expression, we have at the 0 factors;

x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}

Where;

a = 4, b = -7, c -15, substituting gives;

x = \dfrac{-(-7)\pm \sqrt{(-7)^{2}-4\times 4\times (-15)}}{2\times 4} =  \dfrac{7\pm 17}{8}  = 3 \ or -1.25

Which gives;

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Part B: The x-intercepts are the point where y = 0, which are x = 3 and -1.25 as shown above

Part C: As x approaches ∞, y approaches ∞, as x approaches -∞, y approaches ∞

Part D: With the the nature of the function as y approaches ∞ and -∞ the graph is a u-shaped graph of a quadratic equation passing though the points -1.25 and 3 on the x-axis and the point -15 on the y-axis.

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