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-BARSIC- [3]
3 years ago
13

Find m∠ABC = 7x - 4 and m∠BDC = 9x - 1 and and m∠ABC = 107°, find x, m∠ABC and m∠BDC.

Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0

Answer:

m<BDC = 62 degrees

Step-by-step explanation:

Using the expression;

<ABC = <ABD + <DBC

107 = 7x-4 + 9x - 1

107 = 16x-5

16x = 107 + 5

16x = 112

x = 112/16

x = 7

Get m<DBC

m<BDC = 9x - 1

m<BDC = 9(7)-1

m<BDC = 63 - 1

m<BDC = 62 degrees

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Dan tan 31 miles more than Jennifer last week. Dan ran 138 miles. How many miles did Jennifer run?
PtichkaEL [24]
Solution:
138-31= 107 miles
7 0
3 years ago
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PQ has a midpoint of M. the coordinates of M are (-4, 7) and the coordinates of P are (2, 13). What are the coordinates of Q?
Natali5045456 [20]

Using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>

<h3>What is the Midpoint Formula?</h3>
  • Midpoint formula is given as, M(x, y) = (\frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2})

Thus, given that:

  • M is the midpoint of PQ.
  • M (-4, 7)
  • P (2, 13).

Therefore:

M(-4, 7) = (\frac{2 + x_1}{2} , \frac{13 + y_1}{2})

Solve for x-coordinate of P:

-4 = 1/2(2 + x1)

2(-4) = 2 + x1

-8 = 2 + x1

-8 - 2 = x1

x1 = -10

Solve for y-coordinate of P:

7 = 1/2(13 + y1)

14 = 13 + y1

y1 = 1

Therefore, using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>

<em />

Learn more about the midpoint formula on:

brainly.com/question/88621

3 0
2 years ago
Identify a pair of similar triangles
Rainbow [258]

Answer:

its ADC and ADB

Step-by-step explanation:

they both have the triangle at the top so they are similar, they just arnt the same size

7 0
3 years ago
Given the Standard Form of linear equation 5x - 2y = 10, find its x-intercept and y-intercept: (show your work)
Rzqust [24]
We have that
5x - 2y = 10

we know that

Part A)
the x-intercept is when y=0
then
5x - 2y = 10------> 5x=10--------> x=10/5------> x=2

the answer Part A) is
the x intercept is the point (2,0)

Part B)
the y-intercept is when x=0
then
5x - 2y = 10------> -2y=10------> y=-10/2-----> y=-5

the answer Part B) is
the y intercept is the point (0,-5)

see the attached figure

3 0
3 years ago
The number of seats at hard rock stadium is fixed at 70,000. Suppose the team raises the price of a ticket from $30, at which 70
spin [16.1K]

Answer:

<em>The correct answer is "(B) -$700,000; $0; $0".</em>

Step-by-step explanation:

<em>The tax caused a change in the consumer surplus of $-700000, a change in the producer surplus of $0, and a deadweight loss of $0.</em>

<em></em>

<em>The change in consumer surplus is due to the $ 10 increase lost by consumers (10 x 70000 = 70000).</em>

<em></em>

<em>The rest does not vary because management decided to raise the price of the product, instead of bearing the tax.</em>

5 0
2 years ago
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