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sweet-ann [11.9K]
3 years ago
7

COEFFICIENTS AND VARIABLES! PLEASE SOLVE ALL ASAP! ANSWER = BRAINLIEST

Mathematics
1 answer:
sweet [91]3 years ago
6 0

no hhahahahahahaahahaahahhaahha

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1. Remember what we know about vertical angles and solve for x. (SHOW WORK)
marusya05 [52]

Answer:

Ans 1. x= 7

Ans 2.a.

\overline {AC} \cong \overline {JL} \\\textrm{is the additional information required to prove the triangles are congruent by SAS postulate}

Ans.2.b.

\overline {BC} \cong \overline {KL} \\\textrm{is the additional information required to prove the triangles are congruent by the HL theorem}

Step-by-step explanation:

Solution:

1.

Vertically opposite angles are equal.

\therefore (x+16) = (4x-5)\\\therefore (4x-x) = (16+5)\\\therefore (3x) = (21)\\\therefore x = 7

2.a.

proof for Δ BAC ≅ ΔKJL by SAS postulate.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{AC} \cong \overline{JL}\ \textrm{additional information require to prove the tangles are congruent by SAS postulate}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Side-Angle-Side postulate...PROVED}

2.b.

proof for Δ BAC ≅ ΔKJL by HL theorem.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{BC} \cong \overline{KL}\ \textrm{additional information require to prove the tangles are congruent by HL theorem}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Hypotenuse Leg Theorem......PROVED}

5 0
3 years ago
Rewrite the function by completing the square.<br> f(x) = x^2- 2x - 95
jek_recluse [69]

Answer:(x-1)^2 -96

Step-by-step explanation:

Not sure if this is correct but I included the workings out

3 0
3 years ago
Bryan earns $11.80 per hour. He is paid time and a half for hours worked over 8 hours in a day. Yesterday Bryan worked 9.25 hour
zloy xaker [14]

Answer:

$116.53

Step-by-step explanation:

Bryan earn's 11.80 per hour. He is paid time and a half for hours worked over 8hrs in a day. So if you divide 11.80 by 2, you get 5.90.

11.80+5.90=17.70. This is the amount he gets paid if he works overtime.

If Bryan worked 9.25 hrs yesterday, we already know that he made $94.40 in 8 hours. We have to find the amount he got paid for working over time.

The remaining hours are 1.25. We can add $17.70 to 94.40 to get 112.10. Now we have to figure out the remainder which is a quarter of an hour. Multiply 17.70 by .25 and you will get 4.43.

The total amount he got paid for working over time was $116.53.

5 0
2 years ago
Keith wants to save money to purchase a car. He buys an annuity with quarterly payments that earn 2.8% interest, compounded quar
lions [1.4K]

can you help me I'm doing a exam that ends in 7 min

Who must vote in favor of a bill that proposes statehood for a territory?

A.  House of Representatives only

B.  Senate only

C.  House of Representatives and Senate

D.  President of the United States

plssssssss help :(

8 0
2 years ago
The scale for a scale drawing is 8 millimeters: 1 centimeter. Which is larger,the actual object or the scale drawing?explain
amm1812
The scale is a representation of what the drawing is to real life. The drawing will tend to be represented by a fixed figure such as 1 cm. In this case for every cm of drawing it is a representation of 8 millimetres in real life, therefore the drawing is bigger than the object.
4 0
3 years ago
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